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Calculate_SIR_SubcarrierSpacing_Velocity.m
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Calculate_SIR_SubcarrierSpacing_Velocity.m
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% =====================================================================
% Ronald Nissel, [email protected]
% (c) 2017 by Institute of Telecommunications, TU Wien
% www.nt.tuwien.ac.at
% =====================================================================
% This script calculates the Signal-to-Interference Ratio (SIR) for
% different subcarrier spacings and velocities. The results are saved in
% "./Results" and can then be plotted with the script
% "Plot_SIR_OptimalSubcarrierSpacing", which additionally calculates the
% optimum subcarrier spacing (exhaustive search)
clear; close all;
cd('..');
%% Parameters
Scenario = 1; % Integer number which represents different pre-defined scenarios (channel model, modulation scheme,...), see below
SaveStuff = false; % If true, saves the results in "./Results/xxxx", which can later be used to plot the optimal subcarrier spacing
M_Velocity_kmh = [0 250 500]; % Velocies for which the SIR is calculated
% Velocities used in the paper:
% M_Velocity_kmh = [0 2:2:8 10:10:500];
% M_Velocity_kmh = [2:2:8 12 14 16];
%% Start calculation
for i_Velocity = 1:length(M_Velocity_kmh)
Velocity_kmh = M_Velocity_kmh(i_Velocity);
switch Scenario
case 1 % Plot 1 Vehicular A
Method = 'OFDM';
SamplingRate = 15e3*14*14; %Determined by channen model (fits approximatly the channel delay taps)
PowerDelayProfile = 'VehicularA';
M_SubcarrierSpacing = 1e3*[5:1:60];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
case 2 % Plot 1 Vehicular A
Method = 'FBMC-OQAM';
SamplingRate = 15e3*14*14;
PowerDelayProfile = 'VehicularA';
M_SubcarrierSpacing = 1e3*[5:1:60];
PrototypeFilter = 'Hermite';
CarrierFrequency = 2.5e9;
case 3 % Plot 1 Vehicular A
Method = 'FBMC-OQAM';
SamplingRate = 15e3*14*14;
PowerDelayProfile = 'VehicularA';
M_SubcarrierSpacing = 1e3*[5:1:60];
PrototypeFilter = 'PHYDYAS';
CarrierFrequency = 2.5e9;
case 4 % Pedestrian A
Method = 'OFDM';
SamplingRate = 15e3*14*12*4;
PowerDelayProfile = 'PedestrianA';
M_SubcarrierSpacing = 1e3*[5:1:100];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
case 5 % Pedestrian A
Method = 'FBMC-OQAM';
SamplingRate = 15e3*14*12*4;
PowerDelayProfile = 'PedestrianA';
M_SubcarrierSpacing = 1e3*[15:1:170];
PrototypeFilter = 'Hermite';
CarrierFrequency = 2.5e9;
case 6 % Pedestrian A
Method = 'FBMC-OQAM';
SamplingRate = 15e3*14*12*4;
PowerDelayProfile = 'PedestrianA';
M_SubcarrierSpacing = 1e3*[15:1:170];
PrototypeFilter = 'PHYDYAS';
CarrierFrequency = 2.5e9;
case 7 % Vehicular B
Method = 'CP-OFDM';
SamplingRate = 15e3*14*7;
PowerDelayProfile = 'VehicularB';
M_SubcarrierSpacing = 1e3*[5:1:70];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
case 8 % Vehicular B
Method = 'FBMC-QAM';
SamplingRate = 15e3*14*7;
PowerDelayProfile = 'VehicularB';
M_SubcarrierSpacing = 1e3*[5:1:70];
PrototypeFilter = 'Hermite';
CarrierFrequency = 2.5e9;
case 9 % Vehicular B
Method = 'FBMC-QAM';
SamplingRate = 15e3*14*7;
PowerDelayProfile = 'VehicularB';
M_SubcarrierSpacing = 1e3*[5:1:70];
PrototypeFilter = 'Hermite';
CarrierFrequency = 2.5e9;
case 10 % Vehicular B
Method = 'FBMC-OQAM';
SamplingRate = 15e3*14*7;
PowerDelayProfile = 'VehicularB';
M_SubcarrierSpacing = 1e3*[5:1:70];
PrototypeFilter = 'Hermite';
CarrierFrequency = 2.5e9;
case 11 % Vehicular B
Method = 'OFDM';
SamplingRate = 15e3*14*7;
PowerDelayProfile = 'VehicularB';
M_SubcarrierSpacing = 1e3*[5:1:70];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
case 12 % Vehicular B
Method = 'CP-OFDM-LTE';
SamplingRate = 15e3*14*7;
PowerDelayProfile = 'VehicularB';
M_SubcarrierSpacing = 1e3*[5:1:30];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
case 13
Method = 'CP-OFDM-007LTE';
SamplingRate = 15e3*14*12*4*5;
PowerDelayProfile = 'PedestrianA';
M_SubcarrierSpacing = 1e3*[170:1:180];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
case 14
Method = 'CP-OFDM-007LTE';
SamplingRate = 15e3*14*14*4;
PowerDelayProfile = 'VehicularA';
M_SubcarrierSpacing = 1e3*[26:1:50];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
case 15
Method = 'CP-OFDM-010LTE'; % CP OFDM with TF=1.10!
SamplingRate = 15e3*14*7*1;
PowerDelayProfile = 'VehicularB';
M_SubcarrierSpacing = 1e3*[5:1:20];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
%% New 38.900 Channel Model!
case 16
Method = 'FBMC-OQAM';
SamplingRate = 1/25e-9;
PowerDelayProfile = 'TDL-A_30ns';
M_SubcarrierSpacing = 1e3*[100:5:1000];
PrototypeFilter = 'Hermite';
CarrierFrequency = 60e9;
case 17
Method = 'FBMC-OQAM';
SamplingRate = 1/25e-9;
PowerDelayProfile = 'TDL-A_30ns';
M_SubcarrierSpacing = 1e3*[100:5:1000];
PrototypeFilter = 'PHYDYAS';
CarrierFrequency = 60e9;
case 18
Method = 'OFDM';
SamplingRate = 1/25e-9;
PowerDelayProfile = 'TDL-A_30ns';
M_SubcarrierSpacing = 1e3*[100:5:1000];
PrototypeFilter = '';
CarrierFrequency = 60e9;
case 19
Method = 'CP-OFDM-007LTE';
SamplingRate = 1/25e-9;
PowerDelayProfile = 'TDL-A_30ns';
M_SubcarrierSpacing = 1e3*[100:5:1000];
PrototypeFilter = '';
CarrierFrequency = 60e9;
case 20
Method = 'FBMC-QAM';
SamplingRate = 1/100e-9;
PowerDelayProfile = 'TDL-B_900ns';
M_SubcarrierSpacing = 1e3*[100:2.5:500];
PrototypeFilter = 'Hermite';
CarrierFrequency = 60e9;
case 21
Method = 'FBMC-QAM';
SamplingRate = 1/100e-9;
PowerDelayProfile = 'TDL-B_900ns';
M_SubcarrierSpacing = 1e3*[100:2.5:500];
PrototypeFilter = 'PHYDYAS';
CarrierFrequency = 60e9;
case 22
Method = 'CP-OFDM';
SamplingRate = 1/100e-9;
PowerDelayProfile = 'TDL-B_900ns';
M_SubcarrierSpacing = 1e3*[100:2.5:500];
PrototypeFilter = '';
CarrierFrequency = 60e9;
case 23
Method = 'FBMC-OQAM';
SamplingRate = 1/100e-9;
PowerDelayProfile = 'TDL-B_900ns';
M_SubcarrierSpacing = 1e3*[100:2.5:500];
PrototypeFilter = 'Hermite';
CarrierFrequency = 60e9;
% Windowed and Filtered OFDM. Note that in Filtered OFDM, the SIR depends on the subcarrier index (and not just the 3dB at the edges)
case 24
Method = 'WOLA';
SamplingRate = 15e3*14*14;
PowerDelayProfile = 'VehicularA';
M_SubcarrierSpacing = 1e3*[5:1:60];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
case 25
Method = 'FOFDM';
SamplingRate = 15e3*14*14;
PowerDelayProfile = 'VehicularA';
M_SubcarrierSpacing = 1e3*[5:1:60];
PrototypeFilter = '';
CarrierFrequency = 2.5e9;
end
% M_RealSubcarrierSpacing = nan(length(M_SubcarrierSpacing));
% SIR_Theory = nan(length(M_SubcarrierSpacing));
% parfor i_subcarrier = 1:length(M_SubcarrierSpacing)
for i_subcarrier = 1:length(M_SubcarrierSpacing)
SubcarrierSpacing = M_SubcarrierSpacing(i_subcarrier);
switch Method
case 'OFDM'
Multicarrier = Modulation.OFDM(...
floor(SamplingRate/SubcarrierSpacing),... % Number Subcarriers, critically sampled => represents infinitly many subcarriers
3,... % Number OFDM Symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmitreal valued signal
0, ... % Cyclic prefix length (s)
0 ... % Zero guard length (s)
);
case 'CP-OFDM'
Multicarrier = Modulation.OFDM(...
floor(SamplingRate/SubcarrierSpacing),... % Number Subcarriers, critically sampled => represents infinitly many subcarriers
3,... % Number OFDM Symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmitreal valued signal
1/SubcarrierSpacing, ... % Cyclic prefix length (s)
0 ... % Zero guard length (s)
);
case 'CP-OFDM-LTE'
Multicarrier = Modulation.OFDM(...
floor(SamplingRate/SubcarrierSpacing),... % Number Subcarriers, critically sampled => represents infinitly many subcarriers
3,... % Number OFDM Symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmitreal valued signal
0.25/SubcarrierSpacing, ... % Cyclic prefix length (s). 0.25=Extended CP
0 ... % Zero guard length (s)
);
case 'CP-OFDM-007LTE'
Multicarrier = Modulation.OFDM(...
floor(SamplingRate/SubcarrierSpacing),... % Number Subcarriers, critically sampled => represents infinitly many subcarriers
3,... % Number OFDM Symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmitreal valued signal
1/14/SubcarrierSpacing, ... % Cyclic prefix length (s) LTE: 1/15e3/14;
0 ... % Zero guard length (s)
);
case 'CP-OFDM-010LTE'
Multicarrier = Modulation.OFDM(...
floor(SamplingRate/SubcarrierSpacing),... % Number Subcarriers, critically sampled => represents infinitly many subcarriers
3,... % Number OFDM Symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmitreal valued signal
1/10/SubcarrierSpacing, ... % Cyclic prefix length (s) LTE: 1/15e3/14;
0 ... % Zero guard length (s)
);
case 'FBMC-OQAM'
Multicarrier = Modulation.FBMC(...
7,... % Number subcarriers. Localization => 7 is enough
7,... % Number FBMC symbols. Localization => 7 is enough
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmit real valued signal
[PrototypeFilter '-OQAM'],... % Prototype filter (Hermite, PHYDYAS, RRC) and OQAM or QAM,
6, ... % Overlapping factor (also determines oversampling in the frequency domain)
0, ... % Initial phase shift
true ... % Polyphase implementation
);
case 'FBMC-QAM'
Multicarrier = Modulation.FBMC(...
3,... % Number subcarriers.
3,... % Number FBMC symbols.
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmit real valued signal
[PrototypeFilter '-QAM'],... % Prototype filter (Hermite, PHYDYAS, RRC) and OQAM or QAM,
3, ... % Overlapping factor (also determines oversampling in the frequency domain)
0, ... % Initial phase shift
true ... % Polyphase implementation
);
case 'WOLA'
Multicarrier = Modulation.WOLA(...
floor(SamplingRate/SubcarrierSpacing/2),... % Number subcarriers
3,... % Number WOLA Symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmit real valued signal
0, ... % Cyclic prefix length (s)
0, ... % Zero guard length (s)
1/14/SubcarrierSpacing/2, ... % Length of the window overlapping (s) at the transmitter
1/14/SubcarrierSpacing/2 ... % Length of the window overlapping (s) at the receiver
);
case 'FOFDM'
Multicarrier = Modulation.FOFDM(...
floor(SamplingRate/SubcarrierSpacing/2),... % Number subcarriers
3,... % Number FOFDM Symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmit real valued signal
0, ... % Cyclic prefix length (s)
0, ... % Zero guard length (s)
1/14/SubcarrierSpacing/2, ... % Length of the transmit filter (s)
1/14/SubcarrierSpacing/2, ... % Length of the receive filter (s)
1/14/SubcarrierSpacing ... % Length of the additional cyclic prefix (s).
);
otherwise
error('Not supportet');
end
M_RealSubcarrierSpacing(i_subcarrier) = Multicarrier.PHY.SubcarrierSpacing;
%% Channel Object
ChannelModel = Channel.FastFading(...
SamplingRate,... % Sampling rate (Samples/s)
PowerDelayProfile,... % Power delay profile, either string or vector: 'Flat', 'AWGN', 'PedestrianA', 'PedestrianB', 'VehicularA', 'VehicularB', 'ExtendedPedestrianA', 'ExtendedPedestrianB', or 'TDL-A_xxns','TDL-B_xxns','TDL-C_xxns' (with xx the RMS delay spread in ns, e.g. 'TDL-A_30ns'), or [1 0 0.2] (Self-defined power delay profile which depends on the sampling rate)
Multicarrier.Nr.SamplesTotal,... % Number of total samples
Velocity_kmh/3.6*CarrierFrequency/2.998e8,... % Maximum Doppler shift: Velocity_kmh/3.6*CarrierFrequency/2.998e8
'Jakes',... % Which Doppler model: 'Jakes', 'Uniform', 'Discrete-Jakes', 'Discrete-Uniform'. For "Discrete-", we assume a discrete Doppler spectrum to improve the simulation time. This only works accuratly if the number of samples and the velocity is sufficiently large
200, ... % Number multipath delays for WSS process
1,... % Number of transmit antennas
1,... % Number of receive antennas
1 ... % Gives a warning if the predefined delay taps of the channel do not fit the sampling rate. This is usually not much of a problem if they are approximatly the same.
);
R_vecH = ChannelModel.GetCorrelationMatrix;
TimeOffset = round(ChannelModel.GetMeanDelay/ChannelModel.PHY.dt);
% TimeOffset = round(ChannelModel.GetRmsDelaySpread/ChannelModel.PHY.dt);
% TimeOffset = 0;
if max(strcmp(Method,{'CP-OFDM','CP-OFDM-LTE','CP-OFDM-007LTE','CP-OFDM-010LTE'}))
TimeOffset = 0;
end
switch Method
case {'OFDM','CP-OFDM','FBMC-QAM','CP-OFDM-LTE','CP-OFDM-007LTE','CP-OFDM-010LTE','WOLA','FOFDM'}
[PSignal_Theory,PInterference_Theory] = Multicarrier.GetSignalAndInterferencePowerQAM(...
R_vecH,...
eye(Multicarrier.Nr.Subcarriers*Multicarrier.Nr.MCSymbols),...
TimeOffset,...
ceil(Multicarrier.Nr.Subcarriers/2),...
ceil(Multicarrier.Nr.MCSymbols/2));
% Analytical solution for flat fading
P_Signal_OFDM_Theory_Flat = hypergeom([1/2],[3/2 2],-(ChannelModel.PHY.MaximumDopplerShift/SubcarrierSpacing*pi).^2);
P_Interference_OFDM_Theory_Flat = 1-P_Signal_OFDM_Theory_Flat;
SIR_Theory_OFDM_Flat = 10*log10(P_Signal_OFDM_Theory_Flat/P_Interference_OFDM_Theory_Flat);
case 'FBMC-OQAM'
[PSignal_Theory,PInterference_Theory] = Multicarrier.GetSignalAndInterferencePowerOQAM(...
R_vecH,...
eye(Multicarrier.Nr.Subcarriers*Multicarrier.Nr.MCSymbols),...
TimeOffset,...
ceil(Multicarrier.Nr.Subcarriers/2),...
ceil(Multicarrier.Nr.MCSymbols/2));
end
SIR_Theory(i_subcarrier) = 10*log10(PSignal_Theory./PInterference_Theory);
disp(i_subcarrier/length(M_SubcarrierSpacing));
end
plot(M_RealSubcarrierSpacing/1e3,SIR_Theory); hold on;
xlabel('Subcarrier spacing (kHz)');
ylabel('Signal-to-Interference Ratio');
pause(0.1);
if SaveStuff
FileName = ['./OptimalSubcarrierSpacing/Results/' Method '_' PrototypeFilter '_' PowerDelayProfile int2str(Velocity_kmh) '.mat'];
save(FileName,...
'SIR_Theory', ...
'M_RealSubcarrierSpacing',...
'Velocity_kmh', ...
'CarrierFrequency', ...
'M_SubcarrierSpacing',...
'SamplingRate',...
'Method',...
'PrototypeFilter');
end
end