RU2509361C2 - Method of monitoring dynamic process - Google Patents

Abstract

FIELD: information technology.

SUBSTANCE: method of monitoring dynamic processes involves a computing device encoding values of change in neighbouring values of attractor maps for visual and audio display of data, which correspond to changes in values of attractor maps or section of attractor maps, and an information display means respectively displaying, on a visual channel and an audio channel, a series of colour closed figures of the required size and a series of sounds which correspond to predicted values of change in neighbouring values of attractor maps.

EFFECT: broader functional capabilities and high reliability of monitoring by diversifying and duplicating knowledge of the dynamic process on visual and audio channels of human sensitivity.

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Description

The invention relates to the field of computer science and computer engineering and can be used for monitoring (determining indicators of the current state and predicted changes in the state of a dynamic process) of dynamic processes in a convenient and (or) necessary form for the operator in order to make an adequate stabilizing decision. The method can be used in monitoring systems of temporary processes with long-term asymptotic behavior, i.e. dynamic processes. The method is intended to improve the reliability of monitoring a dynamic process by duplicating knowledge about changing a dynamic process through various channels of human sensitivity.

In accordance with (Katok AB, Hasselblatt B. Introduction to the theory of dynamical systems with a review of recent achievements. - M .: ICMNO, 2005. - P.36) the state of a dynamic process is a sequence, each element of which has one of the final the number of values (states). The general class of dynamical systems, the state of which is defined by sequences (or arrays), is called symbolic dynamics, with the help of which one can imagine most complex dynamic processes in a fairly simple way. Point x, corresponding to the current observed magnitude of the dynamic process and located near the attractor (a certain area of stable development of a system or process within which random walks occur due to changes in internal and external conditions (Kotelnikov G.A. Theoretical and applied synergetics. - Belgorod, 2000 . - P.147)), is in a stable manifold of some point c lying on the attractor, since each section of the attractor relief is itself a stable manifold. The motion of the point x under the action of the map is decomposed into the motion to the attractor and the motion of the point c, which determines the motion of a stable section. The movement along the orbits of the dynamic system occurs involuntarily, and the deterministic nature of the dynamics leads to the fact that the attractor gives the operator information about the movement of the observed process quantity. The process of obtaining such information is called coding of a dynamic system.

Dynamic processes corresponding to the described description scheme are reflected in various spheres of human activity: economic (in the form of an electronic trading process), technical (the process of diagnosing the technical condition of an object), transport (a process for monitoring the movement of objects using means of determining their geographical coordinates) educational (distance learning process with a dynamic control system), etc.

There is a method of processing and presenting data on the course of exchange and similar trading for analysis and forecasting the course of trading (RF patent No. 2295156, IPC ⁸ G06Q 40/00, publ. 10.03.2007, Bull. No. 7). The dynamic trading process in this way is represented in the form of a relief of probability attractors for each level of the operational parameter and the current trading parameter moving along the attractor relief. This method consists in the fact that due to the integrated and multi-stage integration and use of general-purpose computing and communication technical devices, namely, when implementing the method of processing bidding data, for analysis and forecasting the bidding process, archive information is previously input into a computing device (WU) transactions registered during trading sessions prior to the current trading session. Moreover, using WU for each of the selected time points Tv for each of the archived trading sessions, the values of the operational level parameter (OPU) are determined. OPU is chosen as the maximum in absolute value from the calculated differences between the values of the recorded operational parameter (ROP), which is the price, up to the selected time point Tv and the ROP value at the time of opening of the archived trading session being processed or the average ROP value of all transactions for the initial period of the corresponding trading session . For each transaction from the processed archived trading session, after the time Tv, the values of the current operational parameter (TOP) are determined as the difference between the ROP value corresponding to the given transaction and the ROP value at the moment of opening the processed archived trading session or the indicated average value of the ROP. Next, in the storage device (memory) form a two-dimensional table, setting in accordance with the coordinates of its cells the values of the RAM and TOP. In these cells summarize and remember the values that display the facts of transactions characterized by the corresponding coordinates of the cell values of the OPU and TOP for the time point TV. The two-dimensional tables obtained in this way for each selected time instant Tv can be stored in the memory for an arbitrary period of time before being used. The use of the generated tables provides for the possibility of their subsequent reproduction by the means of information display (SDI) in the form of images of archive maps. These cards are two-dimensional images of the map of probability levels that the transaction has the parameters of the profit and loss ratio and are dependent on the calculated values of the profit and loss tax and the top. A distinctive feature of these maps is that they are characterized by the presence of pronounced zones on them, corresponding to the identified probability levels. During any next current trading session, a previously generated two-dimensional table is selected from the memory, corresponding to the image of the archive map for the time instant Tv, the closest of all other time points to the real moment of the current trading session, but earlier than this moment. After that, the coordinates of the cells of the selected table are converted using WU to real coordinates by performing computational operations that are inverse to those with which the tables were formed earlier. In this case, to add to the values of the initial coordinates of the corresponding two-dimensional table, the ROP values at the time of the opening of the passing (current) trading session or the average ROP value for the initial trading period are used. This two-dimensional table, together with the values of the real coordinates, is stored in the memory and entered into the memory, where at the same time the current ROP values for transactions of the current trading session are entered in real time. The latter are received in real time via communication lines (LAN) from the server of the corresponding exchange. Next, using a visual means of displaying information, jointly displayed images of the selected archive map and marker are reproduced. The WU displays the marker in the form of a user-defined symbol (for example, an oblique cross) on the map in such a way that one of its coordinates corresponds to the current value of the ROP, and the other to the current value of the RAM determined by the WU. Next, the operator visually observes on the SDI display the position of the marker corresponding to the last current ROP value of the current trading session (obtained by drugs) relative to the topography of the attractor map corresponding to previously held archived trading sessions. Attractor maps based on the source of information (RF patent No. 2295156, IPC ⁸ G06Q 40/00, published March 10, 2007, Bull. No. 7) are two-dimensional images of the map of probability levels depending on the coordinates of the SDA and the TOP as the coordinates The transaction has the parameters OPU and TOP. At the same time, on the basis of the observed dynamic picture, the operator analyzes the course of bidding and predicts the change in the ROP (at the current level of the profit and loss ratio) in the direction of the relief details indicating a higher level of probability. For the direct coding of the numerical characteristics of the generated attractor maps during image formation with any degree of detail, the full color gamut can be used.

This method is the closest in technical essence and is selected as a prototype.

The disadvantages of the prototype method are the low reliability of monitoring the dynamic process, expressed in the absence of a clear logical coding scheme of the dynamic process using a color image, as well as the limited visual area of information about the dynamic process, which in the absence of a stable visual channel or a significant deterioration in the conditions for transmitting information visual channel to the operator’s eyes does not allow him to monitor with the required level of reliability tee.

The objective of the invention is to provide a method for monitoring a dynamic process, expanding the functionality and aimed at improving the reliability of monitoring by spreading knowledge about the dynamic process on different (visual, sound) channels of sensitivity and duplication of this knowledge in the aggregate on available channels of human sensitivity.

This problem is solved by the fact that in addition to the actions of the prototype method, as a result of which an adjusted map of attractors is obtained for the current process of monitoring a dynamic process, the following actions are introduced before the operator analyzes the data on the dynamic process:

1) For color display of data corresponding to changes in the values of the attractor map or section of the attractor map for the current value of the SDA, using the SDI visualization, in the computing device (WU), the i-th value of the change in the neighboring values of the attractor maps is encoded with a binary value of the constant B _k from the limited a set of seven binary constants corresponding physically average frequency f _{cp_k,} where k = 7, the main spectral colors (1 - red, 2 - orange, 3 - yellow, 4 - green, 5 - cyan, 6 - B and its 7 - purple), reproduced by means of imaging SDI. The zero value of the change in neighboring values of the attractor map is brought from the memory into correspondence with a binary constant in a hexadecimal code. In ₄ = 00FF00, which determines the green color of the closed figure, which is displayed by the visualization SDI through the visual channel to the operator’s eyes at a frequency f _{cp_4} = 565 THz. A slightly increasing magnitude of the change in neighboring values of attractor charts, equal in degree to a component value (0 ° ÷ 30 °,), brings from the memory a binary constant in the hexadecimal code B ₃ = FFFF00, which determines the yellow color of the closed figure, which is displayed by the visualization SDI by visual channel to the operator’s eyes at a frequency f _{cp_4} = 525 THz. The average increasing value of the change in neighboring values of attractor maps, equal in degree to the value [30 ° ÷ 60 °), is brought from the memory into correspondence with a binary constant in the hexadecimal code B ₂ = FFA500, which determines the orange color of the closed figure, which is displayed by the visualization SDI by visual channel to the eyes of the operator at a frequency f _{cf_2} = 495 THz. A strongly increasing change in neighboring values of attractor charts, equal in degree to the value [60 ° ÷ 90 °), is brought from the memory into correspondence with a binary constant in the hexadecimal code B ₁ = FF0000, which determines the red color of the closed figure, which is displayed by the visualization SDI by visual channel to the operator’s eyes at a frequency f _{cp_1} = 440 THz. A weakly decreasing change in neighboring values of attractor charts, equal in degree to a value (0 ° ÷ -30 °), is brought from the memory into correspondence with a binary constant in the hexadecimal code B ₅ = 00A5FF, which determines the blue color of the closed figure, which is displayed by the visualization SDI visual channel to the operator’s eyes at a frequency f _{cf_5} = 610 THz. From the memory, the binary constant in the hexadecimal code B ₆ = 0000FF, which determines the blue color of the closed figure, which the visualization SOI displays, is brought from the memory to the average decreasing value of the change in the neighboring values of attractor maps, which is equal to the degree of [-30 ° ÷ -60 °). through the visual channel to the eyes of the operator at a frequency f _{cf_6} = 630 THz. A strongly decreasing change in neighboring values of attractor charts, equal in degree to the value [-60 ° ÷ -90 °), is brought from the memory into correspondence with a binary constant in the hexadecimal code B ₇ - 8B00FF, which determines the violet color of the closed figure, which the visualization SOI displays on the visual channel to the eyes of the operator at a frequency f _{cf_7} = 740 THz. The analyzed sections of the attractor maps are displayed by the SOI of the visualization with at least a sequential series of colored closed figures of the required size, corresponding to the current and the predicted changes in the neighboring values of the attractor maps that follow.

2) For the joint visual or separate sound display of information about the current and predicted changes in neighboring values of attractor maps using the SOI of a sound display, in the WU, the i-th value of the change in neighboring values of attractor maps is encoded with a binary value of the constant S _k from a limited set of seven binary constants corresponding in physical terms to the value of the frequencies f _k , where k = 7 basic diatonic sounds (1 - the sound “la” of the first octave (A ₁ ), 2 - the sound of “si” of the first octave (H ₁ ), 3 - the sound of “ before oh octave (C ₂ ), 4 - sound “re” of the second octave (D ₂ ), 5 - sound “mi” of the second octave (E ₂ ), 6 - sound “fa” of the second octave (F ₂ ) and 7 - sound “ salt ”of the second octave (C ₂ )), reproduced with the help of SOI sound display. The zero value of changing neighboring values of the attractor map is brought from the memory into correspondence with a binary constant in the hexadecimal code S ₄ = 024B, which determines D ₂ —the sound “re” of the second octave, which is reproduced by the soundtrack SOI through the audio channel to the operator’s auditory apertures at a frequency of f ₄ = 587 , 32 Hz. A slightly increasing value of the change in neighboring values of attractor charts, which in degrees complies with the value (0 ° ÷ 30 °), brings from the memory a binary constant in the hexadecimal code S ₃ = 020B, which determines C ₂ - the sound “to” of the second octave, which reproduces SOI soundtrack on the audio channel to the auditory apertures of the operator at a frequency f ₃ = 523.25 Hz. The average increasing value of the change in neighboring values of attractor charts, which in degrees complies with the value [3 ° ÷ -60 °), is brought from the memory into correspondence with a binary constant in the hexadecimal code S ₂ = 01ED, which determines Hi - the sound of the “c” of the first octave, which reproduces SOI soundtrack on the audio channel to the auditory apertures of the operator at a frequency f ₂ = 493.88 Hz. A greatly increasing change in neighboring values of attractor charts, which in degrees complies with the value [60 ° ÷ 90 °), brings from the memory a binary constant in the hexadecimal code S ₁ = 01В8 that defines A ₁ - the sound “a” of the first octave, which reproduces SOI soundtrack on the audio channel to the auditory apertures of the operator at a frequency f ₁ = 440 Hz. A weakly decreasing change in neighboring values of attractor charts in the degree measure (0 ° ÷ -30 °) brings the binary constant in the hexadecimal code S ₅ = 0293, which determines E ₂ - the sound “mi” of the second octave, which the SOI reproduces from the memory sound accompaniment through the audio channel to the auditory apertures of the operator at a frequency f ₅ = 659.26 Hz. From the memory, the binary constant in the hexadecimal code S ₆ = 02BA, which determines F ₂ - the sound “fa” of the second octave, is brought from the memory to the average decreasing value of the change in the neighboring values of the attractor charts, which is in degree degree [-30 ° ÷ -60 °). which reproduces SOI soundtrack on the audio channel to the auditory apertures of the operator at a frequency f ₆ = 698.46 Hz. A very decreasing value of the change in neighboring values of attractor charts, which in degrees complies with the value [-60 ° ÷ -90 °), brings from the memory a binary constant in the hexadecimal code S ₇ = 0310 that defines G ₂ - the sound of “salt” of the second octave, which reproduces SOI soundtrack on the audio channel to the auditory apertures of the operator at a frequency f ₇ = 784 Hz. The sections of the attractor maps are displayed using SOI sound mapping with at least a sequential series of sounds of the current and the predicted changes in the neighboring values of the attractor maps that follow.

A new set of essential features of the claimed method is achieved by spreading information on different channels of a person’s sensitivity, depending on his needs or conditions for distributing information on alternative channels, increasing the channels for the operator to receive information on the progress of the dynamic process, which in turn allows you to overcome the fatigue of concentration on one of the channels sensitivity and by receiving information through another channel of sensitivity to take reasonable chesky decision. The increase in the options for presenting information on various channels of human sensitivity allows you to compensate for the shortcomings of a noisy data transmission channel to the operator at a particular point in time, thereby providing an alternative to a limited or completely absent channel of one or another sensitivity. It also allows the operator to determine the dynamics of the process change by the necessary channel or channels for receiving information and carry out activities to stabilize the process or to establish its positive / negative trends with respect to attractors.

The analysis of the prior art made it possible to establish that analogues that are characterized by a combination of features that are identical to all the features of a technical solution are absent, which indicates the compliance of the invention with the condition of patentability “novelty”.

Search results for known solutions in this and related fields of technology in order to identify features that match the distinctive features of the prototype of the claimed method showed that they do not follow explicitly from the prior art. The prior art also did not reveal the popularity of the impact provided by the essential features of the claimed invention, the transformations on the achievement of the specified technical result. Therefore, the claimed method meets the criterion of "inventive step".

The claimed method is illustrated by drawings, which show:

figure 1 is a flowchart explaining a method for monitoring a dynamic process;

figure 2 is a graph of the growth of frequency values corresponding to sequences of sounds and colors with a maximum pair correlation coefficient;

figure 3 - constellation in degree measure for coding the difference of the adjacent normalized value of the map of attractors;

figure 4 is a cross section of the map of attractors for the operational level parameter (OPU), equal to the value of 8.27 rubles., With the marker marked on the graph (according to the prototype method);

figure 5 is a visual representation of the SDI visualization of the current closed figure bP (purple) and a series of closed figures Y - yellow, O - orange and R - red, corresponding to the predicted values of the probability changes in the trading session;

Fig.6 - sound accompaniment SOI soundtrack on the audio channel of the current sound G ₂ (sound "salt" of the second octave) and the next sound C ₂ - sound "to" of the second octave, corresponding to the amount of change of neighboring values of attractor cards.

The claimed technical solution is achieved by adding to the prototype method, the block diagram of which is limited by a dashed line in Fig. 1, a functional block 10 - a value calculation unit for representing the SDI of sound information display, functional block 11 - means of sound displaying information about the electronic bidding progress procedures for calculating the values for the presentation of SDI visual display of information on the progress of electronic bidding in functional block 8; adding additional links between functional blocks 7 and 10, 10 and 11. Fig. 1 is a flowchart illustrating a method for monitoring a dynamic process. The following elements act as functional blocks of the prototype and the proposed method:

1 - functional unit for calculating the operational level parameter (OPU) for each moment of TV;

2 - a functional block for storing attractor maps of the probabilistic dependence of each operational level parameter (OPU) and current operational parameters (TOP);

3 - functional block for calculating the corrected coordinates of the attractor map in accordance with the recorded operational parameter (ROP) at the initial moment of observation of the dynamic process;

4 - functional unit for calculating the ROP at the time of monitoring;

5 - functional block calculating the current operational parameter TOP;

6 - functional unit for calculating the ROP of a dynamic process;

7 - functional block storage ROP of the current session of the dynamic process and the corrected coordinates of the map of attractors;

8 is a function block for calculating values for representing by a visual display means information about a dynamic process;

9 - a means of visual displaying information about the dynamic process;

10 is a function block for calculating values for representing by means of sound display information;

11 - a means of sound displaying information about the dynamic process.

Functional blocks from 1 to 7 fully implement the actions described in the prototype method, as a result of which an array of attractor maps is generated for various initial values of the controlled process and current operating parameters, while fixing the initial value of the operational parameter and registering the current operational parameter correction of the coordinates of the attractor map. The adjusted attractor map for the current process of monitoring the dynamic process is the basis for additional actions of the claimed invention. To implement a new technical solution in functional block 8, according to the data from functional block 7, the dynamics of changes in neighboring values of attractor cards and the encoding of the obtained values are calculated to hexadecimal constants, which determine the color value of the closed figure displayed using the functional block, different from the prototype method 9 along the visual channel to the operator’s eyes. In the functional block 10, according to the data from the functional block 7, the dynamics of neighboring values of the attractor charts are calculated and the values obtained are encoded, in the form of hexadecimal constants, which determine the frequency of sounds output in a certain sequence using the functional block 11 via the audio channel to the operator’s auditory apertures. The information outputs of the functional block 7 are the information inputs of blocks 8 and 10. The information output of the functional block 8 is the information input of the functional block 9. The information output of the functional block 10 is the information input of the functional block 11. Information outputs from the functional blocks 9 and 11 via the corresponding physical channels, individually or in combination, reach sensitive receptors of the operator.

In the computing device (WU), the magnitude of the change in the neighboring values of the attractor cards is encoded by a limited set of 7 binary constants B _k corresponding in the physical plane, f _{cf_k to the} average frequencies k = 7 of the main spectral colors (1 - red, 2 - orange, 3 - yellow, 4 - green, 5 - blue, 6 - blue and 7 - purple). The display of the magnitude of the change in the neighboring values of the attractor maps on the SDI visualization is carried out according to the following logical scheme. The zero value of the change in neighboring values of the attractor map corresponds to the physical quantity f _{cf_4} , i.e. its binary counterpart is the constant B4, which defines the display on the SDI of visualization of a closed green figure. A slightly increasing magnitude of the change in the neighboring values of the attractor charts, which to a degree _{measures the} value (0 ° ÷ 30 °), corresponds to f _{cf_3} , i.e. its binary counterpart is the constant B ₃ , which sets the map section to be displayed on the visualization SDI in the form of a closed yellow figure. The average increasing magnitude of the change in the values of the attractor charts, which in degrees degree constitutes the value [30 ° ÷ 60 °), corresponds to f _{cf_2} , i.e. its binary counterpart is constant B ₂ , which defines the mapping of the map section on the visualization SDI in the form of a closed orange shape. A strongly increasing change in neighboring values of attractor charts in the degree measure component [60 ° ÷ 90 °) corresponds to f _{cf_5} i.e. its binary counterpart is constant B ₁ , which sets the map section to be displayed on the visualization SDI in the form of a closed red shape. A slightly decreasing value of the change in neighboring values of attractor charts, which in degrees degree amounts to a value (0 ° ÷ -30 °), corresponds to f _{cf_5} , i.e. its binary counterpart is constant B ₅ , which sets the map section to be displayed on the SDI of visualization in the form of a closed blue shape. The average decreasing value of the change in the neighboring values of the attractor charts, which in degrees degree constitutes the value [-30 ° ÷ -60 °), corresponds to f _{cf_6} , i.e. its binary counterpart is constant B ₆ , which sets the map section to be displayed on the visualization SDI in the form of a closed blue shape. The strongly decreasing value of the change in the neighboring values of the attractor charts, which in degrees degree amounts to the value [-60 ÷ -90 °), corresponds to f _{cf_7} , i.e. its binary counterpart is constant B ₇ , which sets the map section to be displayed on the SDI of visualization in the form of a closed red shape. Depending on the needs of the operator and the resolving power of the SOI visualization, the analyzed sections of the attractor maps are displayed by the SOI of the visualization with at least a sequential series of colored closed figures of the required size, current and predicted changes in the neighboring values of the attractor maps. For sound display or additional visual information on the current and predicted changes in neighboring values of attractor cards using the SOI of sound mapping (speakers, headphones), in WUs, the calculated values of changes in neighboring values of attractor cards are replaced by a limited set of 7 constants S _k corresponding to the physical plane f _k the frequency value k = 7 of the main diatonic sounds (1 - the sound “a” of the first octave (A ₁ ), 2 - the sound “si” of the first octave (H ₁ ), 3 - the sound “before” of the second octave (C ₂ ), 4 - sound “Re” of the second octave (D ₂ ), 5 - sound “mi” of the second octave (E ₂ ), 6 - sound “fa” of the second octave (F ₂ ) and 7 - sound “salt” of the second octave (G ₂ )), reproduced through SOI sound mapping. The distribution of sounds by gradations of changes in neighboring values of the attractor map is carried out similarly to the color scheme. So, to the zero value of the change of neighboring values of the attractor map correspond to the physical quantities f _{cf_4} and f ₄ for visual and sound display, respectively. Sites of attractor maps display, using SOI sound mapping, at least a sequential series of sounds of the current and the predicted changes of neighboring values of attractor maps that follow.

The following physical laws and practical calculations allow the use of coding changes in the samples of attractor cards in the proposed method.

Based on the data presented in (Medvedev V.Yu. Color Science and Coloring: A Study Guide (Lecture Course). St. Petersburg: CPI SPGUTD, 2005. - P.12), we calculate the maximum and minimum frequencies from the ranges of nanometer wavelengths. corresponding, and we define f _cf - the average frequencies of the electromagnetic radiation of the spectral colors of the visible spectrum. The results and hexadecimal values (HEX) corresponding to the colors in the RGB system (a system for representing any color by mixing three primary colors: R - red, G - green, B - blue) are summarized in table 1. The letter designations of the colors in the brackets of table 1 are given by the initial letters of their names in English (uppercase and lowercase): R - Red - red; O - Orange - orange; Y - Yellow - yellow; G - Green - green; B, b - Blue - blue; R - Purple - purple.

Table 1 Spectral colors of visible electromagnetic radiation, their corresponding physical values and binary visualization values Chromatic Spectral Color Groups Name of color of light fluxes max dl. waves, nm min dl. waves, nm f _min , THz f _max , THz THz Binary Values (HEX) Spectral (visible spectrum) Shortwave Violet (bP) 430 380 697.67 789.47 743.57 8B00FF Medium wave Blue (B) 482 465 622.41 645.16 633.78 0000FF Blue (BG) 493 487 608.52 616.02 612.27 00A5FF Green (G) 530 498 566.04 602.41 584.22 00FF00 Longwave Yellow (y) 580 575 517.24 521.74 519.49 Ffff00 Orange (O) 595 586 504.20 511.95 508.07 Ffa500 Red (R) 680 620 441.18 483.87 462.52 Ff0000

Violet and cyan are the result of a mixture of color pairs and are referred to as bluish-magenta (bP) and blue-green (BG) pairs in one word, respectively. Binary hexadecimal values determine the coordinates of the RGB visualization system normalized to the range [0 ÷ 255] for each color displayed on the SDI. For seven chromatic spectral colors, we determine the sequence in increasing average frequency of electromagnetic radiation, i.e. the following sequence of initial letters of their English names: R, O, Y, G, BG, B, bP.

Among the whole set of sounds of a person’s acoustic range, only seven diatonic sounds (notes) can be distinguished, the frequency values of which in various octaves are summarized in table 2.

table 2 Diatonic Sound Frequencies for Various Octaves Note Litera frequency Hz Subcontroctava Kontrokt-ava Bolshaya Okta-va Small octave 1st octave 2nd octave 3rd octave 4th octave 5th octave Before FROM 32,7 65.41 130.82 261.63 523.25 1046.5 2093 4186 Re D 36.95 73.91 147.83 293.66 587.32 1174.6 2349.2 4698,4 Mi E 20.61 41.21 82.41 164.81 329.63 659.26 1318.5 2637 5274 F F 21.82 43.65 87.31 174.62 349.23 698.46 1396.9 2793.8 Salt G 24.5 49 98 196 392 784 1568 3136 La BUT 27.5 55 110 220 440 880 1720 3440 Si N 30.87 61.74 123.48 246.96 493.88 987.75 1975.5 3951

Unlike a certain sequence of colors in increasing their average frequency of electromagnetic radiation from an octave to an octave, a sequence of notes can begin with any of the notes. Doubling each note from octave to octave allows you to limit the search within seven sequences. Thus, in order to determine the closest to a linear dependence on the sequence of colors and the sequence of notes, it is necessary to calculate R _ij - the pair correlation coefficient for all possible sequences of notes for the desired sequence of colors. The calculation results for each of the seven sequences are summarized in Table 3. The maximum pair correlation coefficient R ₀₂ = 0.98651, corresponds to the second order of notes, that is, begins with note A - note “for” the i-th octave and ends with note G - note The “salt” of the (i + 1) octave. The value of the octave i can take values in accordance with table 2 (from the subcontract to the fifth octave) and depends on the preference of the operator and his ability to perceive one or another octave.

Table 3 Values of sequences and their pair correlation coefficients Physical quantities Sequence (colors or notes) Coeff. pair correlation Colors 0 R ABOUT Y G BG AT bP R ₀₀ f _{Wed color} (THz) 462.52 508.07 519.49 584.22 612.27 633.78 743.57 one Note order 1 N FROM D E F G E R ₀₁ f _sound (Hz) 493.88 523.25 587.32 659.26 698.46 784.00 880 0.98349 Note order 2 BUT N FROM D E F G R ₀₂ f _sound (Hz) 440.00 493.88 523.25 587.32 659.26 698.46 784.00 0.98651 Note order 3 G BUT N FROM D E F R ₀₃ f _sound (Hz) 392 440 493.88 523.25 587.32 659.26 698.46 0.96137 Note order 4 F G BUT N FROM D E R ₀₄ f _sound (Hz) 349.23 392 440 493.88 523.25 587.32 659.26 0.98403 Note order 5 E F G BUT N FROM D R ₀₅ f _sound (Hz) 329.63 349.23 392 440 493.88 523.25 587.32 0.98105 Note order 6 D E F G BUT N FROM R ₀₆ f _sound (Hz) 293.66 329.63 349.23 392 440 493.88 523.25 0.967 Note order 7 FROM D E F G BUT N R ₀₇ f _sound (Hz) 261.63 293.66 329.63 349.23 392 440 493.88 0.97852

A graph of the growth of frequency values corresponding to sequences of sounds and colors, with the maximum pair correlation coefficient and octave value i = 1 is shown in Figure 2. Thus, the sequence of average frequencies of the selected chromatic spectral colors and the frequencies of the diatonic sounds in the mutual frequency increase are located in a logical the order presented in table 5.

Table 5 The logical correspondence of the sequence of colors and notes Fiz. value Sequence No. p / p one 2 3 four 5 6 7 Color R O Y G BG B bP Note A H C D E F G

к значению $$z_{k_i}^{*}$$

осуществляется в соответствии с выражением (Статистический анализ в MS Excel.: - М.: Издательский дом «Вильяме», 2004. С.142):The relief levels of the attractor map according to the prototype method are static values of the probability that the magnitude of the dynamic process observed during monitoring (in our case the price) has a certain value within the attractor (in our case, the trading session). The observation marker (in our case, the current price of a trading asset) is constantly moving on the attractor map. Depending on the position of the marker with respect to the topography of the attractor map, the operator determines the position of the observed moment relative to the attractor of the dynamic process and makes the necessary decision to stabilize the process or follow the previously selected strategy. In other words, the marker determines the current point of the attractor map plot, relative to which further probabilistic values of the development of the dynamic process are estimated and the necessary managerial decision is made. More informative and compact for the operator compared to the joint display of a marker and relief or section of the attractor map will be a representation of the current dynamics of changes in the neighboring values of the attractor map (in the form of a closed figure of a certain color and (or) sound of a certain frequency) and the speaker following it (in the form closed figure of a certain color and (or) sound of a certain frequency) without displaying a marker. This will allow the operator to determine the magnitude of the changes in the dynamic process at the current and subsequent time points using the visual and (or) audio channel, i.e. carry out directed monitoring of the dynamic process. It is convenient to present the change in the neighboring values of the attractor map in the form of a unidirectional circuit. A sequence consisting of n codes obtained by converting a curve according to the selected rule to the values of its changes relative to the reference point is called a chain (Recognition Theory and Scene Analysis: Translated from English / R.O.Duda, P.E. Hart .; Under Edited by V.L. Stefanyuk, Moscow: Mir, 1976 .-- 511 p.). Since the values of the probability level of attractor maps can take different values, to prevent the superiority of signs with large numerical values, normalization of attractor maps is carried out. All values of the attractor maps are converted into one-dimensional arrays with a mathematical expectation equal to 0 and a dispersion value equal to 1. This transformation for each ith reference value of the one-dimensional array of the kth section of the attractor map $$z_{k_i}$$

to value $$z_{k_i}^{*}$$

carried out in accordance with the expression (Statistical analysis in MS Excel .: - M .: Publishing house "Williams", 2004. S.142):

$$z_{k_i}^{*}=\frac{z_{k_i}-{\mu }_k}{{\sigma }_k},\left(\mathrm{one}\right)$$

where µ _k is the mathematical expectation of a one-dimensional array of samples of the kth section of the attractor map;

σ _k is the standard deviation of the one-dimensional array of samples of the kth section of the attractor map.

и $$z_{k_i-1}^{*}$$

, при $$z_{k_0}^{*}=0$$

и i∈[1; n], в соответствии с выражениемThis transformation will allow normalizing the sections of the attractor map to sequences of a single dimension. The conversion of the k-th converted digital sequence into a circuit x _{k is} carried out by calculating the arcsine of the difference between n adjacent normalized samples $$z_{k_i}^{*}$$

and $$z_{k_i-\mathrm{one}}^{*}$$

at $${\mathrm{<figure-callout\; id="0"\; label="z\; k"\; filenames="00000010.png"\; state="\{\{state\}\}">z\; </figure-callout>}}_{k_{}}^{{}_0}=0$$

and i∈ [1; n], in accordance with the expression

$$x_{k_i}=\arcsin \left(z_{k_i}^{*}-z_{k_i-\mathrm{one}}^{*}\right).\left(2\right)$$

As a result of this transformation, a chain x _{k is formed} , the elements of which are the values of the angles for n sections with an interval for measuring angles (-90 ° ÷ 90 °). Within this interval, we use the degree constellation in degree measure for coding the difference of the adjacent normalized values of the attractor map shown in Fig. 3. Given the zero interval for the coding constellation, we obtain seven intervals of differences of the normalized neighboring values of the attractor map, which are summarized in table 6.

Table 6 The values of the intervals of the coding constellation for seven intervals of the differences of the normalized neighboring values of the attractor map No. p / p Interval value in degrees The difference of the normalized neighboring values of the attractor map one [60 ° ÷ 90 °) [0.433 ÷ 0.5) 2 [30 ° ÷ 60 °) [0.25 ÷ 0.433) 3 (0 ° ÷ 30 °) (0 ÷ 0.25) four [0 °] [0] 5 (0 ° ÷ -30 °) (0 ÷ -0.25) 6 [-30 ° ÷ -60 °) [-0.25 ÷ -0.433) 7 [-60 ° ÷ -90 °) [-0.433 ÷ -0.5)

The serial numbers of tables 5 and 6 are brought into correspondence and we get that each value of the circuit (an element of the dynamics of the cross section of the attractor map) can be represented by one of seven values of color or sound in a single logical interpretation.

It is advisable to store seven constants for color and sound designations in binary form. Given the dimensionality of the constants, it is advisable to represent them in hexadecimal code. Various joint combinations of the displayed SDI values of 1, 2 and 3 intervals (colors and sounds) indicate the growing dynamics of the observed process. For the electronic bidding process, this is consistent with the bulls trading strategy. Various joint combinations of the displayed SDI values of 5, 6 and 7 intervals (colors and sounds) indicate a decrease in the dynamics of the observed process. For the electronic bidding process, this is in line with the Bears trading strategy. All other combinations, except for the series of the 4th interval (color and sound), indicate a variable and unstable dynamics of the development of the observed process. The 4th interval following the current one stabilizes the current up / down dynamics and requires the following chain value (element of the dynamics of the cross section of the attractor map) to determine the management strategy.

Consideration of the claimed method, it is advisable to carry out the example of actions implemented by the prototype method, and supplement with the necessary actions to obtain the claimed technical solution.

For the cross section of the attractor map shown in Fig. 4 and used to explain the essence of the prototype method, we define the coded values of the intervals corresponding to the dynamics of growth / decrease. The given section of the attractor map corresponds to the column of table 7 for the level of profit equal to 8.27 rubles. Table 7 presents the map of attractors converted to the type of intervals from the prototype method. The value of the marker determines only the coordinate of the current section of the attractor map for a certain level of SDE, therefore it is enough to determine the value of the current interval and at least the next interval. These values of 7 and 3 are highlighted by a thicker line of cells containing them. In the hexadecimal code, the value of the interval 7 for color display corresponds to the binary constant B ₇ = 8B00FF, which corresponds to bP - violet color; for sound, there corresponds a binary constant S ₇ = 0310 (the value of the sound frequency in binary form), which corresponds to the sound G ₂ - the sound of “salt” of the second octave. In the hexadecimal code, the value of the interval 3 for color display corresponds to the binary constant B ₃ = FFFF00, which corresponds to Y - yellow; the sound accompaniment corresponds to the binary constant S ₃ = 020B, which corresponds to the sound C ₂ - the sound "to" of the second octave. Figure 5 shows an example of how the SOI of visualization displays the selected analyzed section of the attractor map in a series of colored closed figures of the required size corresponding to the current bP - purple and followed by Y - yellow, O - orange, R - red changes in adjacent values of the section attractor cards.

A sequential series of closed figures of yellow, orange and red colors on the display indicates a steady growth in the observed process, which for the electronic trading process indicates the possibility of applying the bulls trading strategy.

In turn, Fig. 6 shows an example of how the SOI of a sound image of attractors sequentially reproduces a series of sounds of the current interval G2 - the "salt" of the second octave and the next interval C ₂ - the sound "before" of the second octave.

Table 7 Interval values for the differences of the normalized neighboring values of the attractor map Price, rub.) Level of profit and loss (RUB) 8.22 8.23 8.24 8.25 8.26 8.27 8.28 8.29 8.30 8.31 8.32 8.33 8.34 8.35 8.36 8.37 8.38 8.39 8.40 ROP values (rubles) 8.22 3 5 3 5 5 four 5 5 3 3 2 four 2 7 2 5 four 5 5 8.23 6 3 four 5 four 2 2 6 2 6 2 6 2 6 3 four 2 3 four 8.24 3 four 5 four 5 2 3 3 2 four 2 one one 2 3 3 5 5 3 8.25 four four 3 5 3 3 5 four one 2 3 3 one 2 3 3 5 5 four 8.26 5 four 5 5 6 one 5 5 3 3 2 four 3 3 2 four 5 four 5 8.27 3 four 5 3 2 one 2 5 7 6 3 four 7 6 3 four four four four 8.28 5 5 3 5 6 6 3 four 2 5 four 2 7 2 7 2 2 four 3 8.29 2 four 3 four 3 7 5 one 2 3 2 2 5 one 6 2 3 3 2 8.30 5 3 four 6 7 one 5 3 3 2 2 5 2 5 5 four 2 2 2 8.31 7 7 7 2 6 7 5 7 6 3 2 5 2 7 5 5 one one 2 8.32 6 7 7 2 one 3 5 5 four 5 2 6 2 6 2 5 one 2 3 8.33 2 2 four 2 7 2 5 3 four 6 7 one one 2 3 four 2 5 one 8.34 2 2 2 2 5 one 7 7 7 2 6 7 2 3 5 one 2 3 one 8.35 2 2 2 5 2 5 6 7 7 2 one 3 5 3 5 3 3 2 four 8.36 3 3 2 5 2 7 2 2 four 2 7 2 7 7 5 7 6 3 four 8.37 2 3 2 6 2 6 2 2 2 2 5 one 6 7 5 5 four 5 6 8.38 3 four 2 one one 5 2 2 2 5 2 5 2 2 four 2 7 2 3 8.39 3 four 2 one one 2 3 3 2 5 2 7 2 2 2 2 5 one 7 8.40 5 four four 6 2 3 2 3 2 6 2 6 2 2 2 5 2 5 6 8.41 5 four 2 6 2 6 3 four 2 3 four 2 5 3 2 5 2 7 one 8.42 5 four 5 6 four 7 3 four 2 5 one 2 3 3 2 6 2 6 2 8.43 3 four 3 four 2 5 one 2 one 5 3 3 2 four 2 one one 2 3 8.44 5 four 5 one 2 3 2 3 one 5 7 6 3 four 2 one 2 3 2 8.45 3 four 5 3 3 2 four 2 7 2 5 four 5 5 four 2 2 6 3 8.46 3 four 5 7 6 3 2 2 5 one 5 5 3 5 5 2 four 7 3 8.47 3 four 5 5 four 5 2 5 2 5 3 3 3 2 5 four 5 5 5 8.48 four 3 5 5 four 3 2 5 2 7 5 four 6 5 5 four 5 four 2 8.49 2 5 5 5 5 7 2 6 2 6 2 6 2 6 3 four 2 3 four 8.50 four 5 four 2 5 5 3 3 2 four 2 7 2 5 four 5 5 four 3 8.51 3 5 5 3 3 3 3 5 3 5 5 four one 3 5 5 four 5 5 8.52 5 four 5 5 5 four 6 3 four 5 four 2 one 3 6 6 5 5 3 8.53 5 5 5 5 6 5 3 four 5 four 5 2 2 four 7 6 5 7 7

This representation will allow the operator in the short term to conclude that the current observed magnitude of the dynamic process changes from greatly decreasing to slightly increasing. A further series of pairs of sounds also confirms the growing dynamics of the development of the observed process, which for the electronic trading process indicates the preference for the bull strategy at this time.

The conclusions obtained in this way, in essence, correspond to the conclusions of the prototype method, however, additional actions allow us to obtain a new useful property - the ability to use the method for monitoring a dynamic process in conditions of high noise level using one of two possible channels of operator sensitivity. In turn, this will ensure the continuity of information on the observed process through at least one of the possible channels of operator sensitivity, thereby increasing the reliability of monitoring the dynamic process. This confirms the positive effect of the technical solution of the proposed method.

Additional calculations of the method do not require significant computational costs, they can be implemented on the currently existing element base, for example, on any commercially available programmable logic integrated circuits (FPGAs).

From the essence of the proposed method, it follows that it provides higher monitoring reliability in a noisy sound or visual environment, due to the separation of monitoring data on different (visual, sound) channels individually or collectively. The expansion of the options for presenting information on the channels of human sensitivity also allows you to compensate for its limited or completely absent visual or sound sensitivity.

Claims (1)

A method for monitoring a dynamic process, which consists in the fact that archival information about transactions in electronic trading sessions is entered into a computing device (VU), the value of the operational level parameter (OPU) is determined - the maximum in absolute value from the calculated differences between the values of the recorded operational parameter (ROP) up to of the selected time point Tv and the value of the ROP at the time of opening the archived trading session being processed or the average value of the ROP of all transactions for the initial period of the corresponding t of the trading session, for each transaction from the archived trading session being processed, after the time Tv, the values of the current operational parameter (TOP) are determined as the difference between the ROP value corresponding to the given transaction and the ROP value at the time of opening the archived trading session or the indicated average ROP value, form a two-dimensional table, for the coordinates of the cells of which the values of the RAM and TOP are taken, the two-dimensional tables are row-wise normalized, stored in a storage device (RAM) and displayed by means for displaying information in the form of images of attractor cards or sections of attractor cards with the levels of probability that the current transaction has the parameters of profit and loss, during the current trading session, select the previously generated two-dimensional table from the memory that corresponds to the image of the attractor map for the time instant Tv closest to of all other points in time to the real moment of the current trading session, but earlier than this moment, the coordinates of the cells of the selected table in WU are converted into real coordinates using To add ROP values to the values of the initial coordinates of the corresponding two-dimensional table at the time of opening the current trading session, the two-dimensional table along with the values of the real coordinates are stored in the memory and entered into the WU, where at the same time the current ROP values for transactions of the current trading session are entered in real time , using the means for displaying information, reproduce jointly displayed images of the selected attractor map or section of the attractor map together with a marker of the current value P OP, carry out a forecast of changes in the ROP in the direction of values with a high level of probability, characterized in that for color displaying data corresponding to changes in the values of the attractor map or the cross section of the attractor map for the current value of the OPU, using SOI visualization, the coding is performed in the computing device (WU) i-th value changes of adjacent cards attractors binary value of the constant values B _k from a limited set of seven binary constants corresponding to the average values of the physical plane portions t f _{cp_k,} where k = 7, the main spectral colors (1 - red, 2 - orange, 3 - Yellow, 4 - green, 5 - cyan, 6 - blue and 7 - purple) reproduced using the imaging SOI, the zero the value of the change in neighboring values of the attractor map is brought from the memory into correspondence with a binary constant in the hexadecimal code B ₄ = 00FF00, which determines the green color of the closed figure, which is displayed by the visualization SDI through the visual channel to the operator’s eyes at a frequency f _{cf_4} = 565 THz, a slightly increasing value of changes in neighboring attr card values actors, equal in degree component to the value (0 ° ÷ 30 °), are brought from the memory into correspondence with a binary constant in the hexadecimal code B ₃ = FFFF00, which determines the yellow color of the closed figure, which is displayed by the visualization SDI through the visual channel to the operator’s eyes at a frequency f _{cp_3} = 525 THz, moderately increasing the amount of change of values of neighboring attractors cards equal in degrees component to [30 ° ÷ 60 °), lead from the memory in a binary matching in hexadecimal constant B ₂ = FFA500, defining a closed fig orange s, which displays SOI visualizing the visual channel to the operator's eye at the frequency f _{cp_2} = 495 THz, greatly increasing the amount of change adjacent values attractors cards equal in degrees component to [60 ° ÷ 90 °), lead from the memory in correspondence binary constant in the hexadecimal code B ₁ = FF0000, which determines the red color of the closed figure, which is displayed by the visualization SDI through the visual channel to the operator’s eyes at a frequency f _{cp_1} = 440 THz, which weakly decreases the magnitude of the change in neighboring values of attractor maps, equal to deg to a constant measure of the value (0 ° ÷ -30 °), the binary constant in the hexadecimal code B ₅ = 00A5FF, which determines the blue color of the closed figure, which the visualization SOI visualizes through the visual channel to the operator’s eyes at a frequency f _{cp_5} = 610, is brought from the memory THz, the average decreasing value of the change in neighboring values of attractor charts, equal in degree to the value [-30 ° ÷ -60 °), bring from the memory a binary constant in the hexadecimal code B ₆ = 0000FF, which determines the blue color of the closed figure, which displays SOI visualizations through the visual channel to the operator’s eyes at a frequency f _{cp_6} = 630 THz, which greatly decreases the magnitude of the change in neighboring values of attractor charts, which is equal to a degree of [-60 ° ÷ -90 °), bring the binary constant in the hexadecimal code from the memory B ₇ = 8B00FF, which determines the color purple closed figure, which displays the visualization SOI visual link to the operator's eye at a frequency f _{cp_7} = 740 THz, the analyzed areas attractors card displays visualize SDI at least by a series of CEE closed figures of the required size, corresponding to the current and the predicted changes of neighboring values of attractor charts next to it, together with visual or separate sound displaying information about the current and predicted changes of neighboring values of attractor charts using the SOI of sound mapping, coding i the magnitude of the change in the neighboring values of the attractor maps by the binary value of the constant S _k from a limited set of seven binary constants corresponding to in physical terms, the value of the frequencies f _k , where k = 7 basic diatonic sounds (1 - the sound “a” of the first octave (A ₁ ), 2 - the sound “si” of the first octave (H ₁ ), 3 - the sound “before” of the second octave (C ₂ ), 4 - sound “re” of the second octave (D ₂ ), 5 - sound “mi” of the second octave (E ₂ ) , 6 - sound “fa” of the second octave (F ₂ ) and 7 - sound “salt” of the second octave (G ₂ )) reproduced by the SOI of the sound map, while the zero value of changing adjacent values of the attractor map is brought from the memory into correspondence with a binary constant in the hexadecimal code S ₄ = 024B, which determines D ₂ - the sound “re” of the second octave, which is reproduced by SOI of sound accompaniment through the audio channel to the operator’s auditory apertures at a frequency f ₄ = 587.32 Hz, a slightly increasing value of the change in neighboring values of attractor charts, which in degrees degree constitutes a value (0 ° ÷ 30 °), bring the binary constant from the memory in the hexadecimal code S ₃ = 020B, which defines C ₂ - the sound “to” of the second octave, which is reproduced by the SOI of sound along the audio channel to the operator’s auditory apertures at a frequency f ₃ = 523.25 Hz, an average increase in the magnitude of the change in neighboring values attractor charts, which in degrees measure the value [30 ° ÷ 60 °), bring from the memory a binary constant in the hexadecimal code S ₂ = 01ED that defines H ₁ - the sound “si” of the first octave, which is reproduced by the SOI of sound along the audio channel up to of the operator’s auditory apertures at a frequency f ₂ = 493.88 Hz, a greatly increasing change in the neighboring values of attractor charts, which in degrees complies with the value [60 ° ÷ 90 °), bring from the memory a binary constant in hexadecimal code S ₁ = 01B8, A defining ₁ - sound "la" lane th octave, that reproduces sound SOI audio-up auditory openings operator at the frequency f ₁ = 440 Hz, weakly decreasing the amount of change of values of neighboring attractors cards in degrees component value (0 ° ÷ -30 °), lead from the memory in accordance binary constant in hexadecimal S ₅ = 0293, determining E ₂ - sound "mi" second octave which SOI reproduces sound by audio channel to the auditory openings operator at a frequency f ₅ = 659.26 Hz, moderately decreasing the amount of change of neighboring values s attractors cards in degrees component value [-30 ° ÷ -60 °), lead from the memory in a binary matching constant in hexadecimal S ₆ = 02BA, determining F ₂ - sounds "fa" second octave, that reproduces sound SOI through the audio channel to the operator’s auditory apertures at a frequency f ₆ = 698.46 Hz, which greatly decreases the magnitude of the change in neighboring values of attractor charts, which in degrees amounts to [-60 ° ÷ -90 °), the binary constant in the hexadecimal code is mapped from the memory S ₇ = 0310, defining G ₂ - the sound of "salt" of the second octave, which is reproduced by the SOI of sound along the audio channel to the operator’s auditory apertures at a frequency of f ₇ = 784 Hz, the sections of the attractor maps are displayed using the SOI of the sound display with at least a sequential series of sounds of the current and the predicted changes in the neighboring values of the attractor maps that follow.

Images