Le Roux et al., 1989 - Google Patents

On the relationship between 1-D and 2-D spectral factorization—Application to the analysis of the stability of 2-D transfer functions

Le Roux et al., 1989

Document ID
14280881416008488809
Author
Le Roux J
Dubus F
Publication year
Publication venue
Signal processing

External Links

Snippet

The properties of the Radon projection of 2-D convolutions (the projection slice theorem) are used to show the relationship between 1-D and 2-D spectral factorization techniques on the basis of the asymmetric half-plane causality. This allows several classical 1-D algorithms to …
Continue reading at www.sciencedirect.com (other versions)

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
    • G06F—ELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/141—Discrete Fourier transforms
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
    • G06F—ELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/147—Discrete orthonormal transforms, e.g. discrete cosine transform, discrete sine transform, and variations therefrom, e.g. modified discrete cosine transform, integer transforms approximating the discrete cosine transform
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
    • G06F—ELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/17—Function evaluation by approximation methods, e.g. inter- or extrapolation, smoothing, least mean square method
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
    • G06F—ELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
    • G06F—ELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50—Computer-aided design
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
    • G06F—ELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/30—Information retrieval; Database structures therefor; File system structures therefor
    • H—ELECTRICITY
    • H03—BASIC ELECTRONIC CIRCUITRY
    • H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00—Networks using digital techniques
    • H03H17/02—Frequency selective networks
    • H03H17/06—Non-recursive filters
    • H—ELECTRICITY
    • H03—BASIC ELECTRONIC CIRCUITRY
    • H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00—Networks using digital techniques
    • H03H17/02—Frequency selective networks
    • H03H17/0223—Computation saving measures; Accelerating measures

Similar Documents

Publication Publication Date Title
Benedetto et al. The theory of multiresolution analysis frames and applications to filter banks
Fasshauer Solving differential equations with radial basis functions: multilevel methods and smoothing
Helms Fast Fourier transform method of computing difference equations and simulating filters
Kim et al. Recursive high-resolution reconstruction of blurred multiframe images
Vetterli Wavelets, approximation, and compression
Strohmer Numerical analysis of the non-uniform sampling problem
Qiu et al. Discrete Gabor structures and optimal representations
Bagchi et al. The nonuniform discrete Fourier transform and its applications in filter design. I. 1-D
Sitton et al. Factoring very-high-degree polynomials
Swami et al. Linear modeling of multidimensional non-Gaussian processes using cumulants
Dudgeon The computation of two-dimensional cepstra
Miklos Image interpolation techniques
Chang et al. Design of two-dimensional recursive filters by interpolation
Lampropoulos et al. A new technique for the design of two-dimensional FIR and IIR filters
Hampton et al. Fast-Fourier-transform spectral enhancement techniques for γ-ray spectroscopy
Matson Fourier spectrum extrapolation and enhancement using support constraints
Le Roux et al. On the relationship between 1-D and 2-D spectral factorization—Application to the analysis of the stability of 2-D transfer functions
Shyu et al. A new approach to the design of discrete coefficient FIR digital filters
Flickner et al. Periodic quasi-orthogonal spline bases and applications to least-squares curve fitting of digital images
Masri et al. Compact probabilistic representation of random processes
Srinivasa et al. Two-dimensional spectral estimation: A Radon transform approach
Heller et al. Sobolev regularity for rank M wavelets
Meyer-Baese et al. Fourier transforms
Olkkonen Discrete binomial splines
Long Exact computation of the unwrapped phase of finite-length time series