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Figure_14_FlatMIMOthroughput.m
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Figure_14_FlatMIMOthroughput.m
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% =========================================================================
% (c) 2018 Ronald Nissel, https://www.linkedin.com/in/ronaldnissel/
% =========================================================================
% This script simulates the MIMO throughput of pruned DFT spread FBMC,
% OFDM and FBMC-OQAM. We consider the special case of a low delay spread in
% combination with a low bandwidth, allowing to despread before
% equalization in pruned DFT spread FBMC. This allows to straightforwardly
% use all known MIMO OFDM methods in FBMC, including ML symbol detection.
% Allows to reproduce Figure 14 of "Pruned DFT Spread FBMC: Low PAPR, Low
% Latency, High Spectral Efficiency", R. Nissel and M. Rupp, IEEE
% Transactions on Communications
clear; close all;
%% Parameters
% Simulation
M_SNR_dB = [0:4:20]; % Signal-to-Noise Ratio in dB
NrRepetitions = 4; % Number of Monte Carlo repetitions, in the paper: 1000
% FBMC and OFDM Parameters
NrSubcarriers = 64; % Number of subcarriers
SubcarrierSpacing = 15e3; % Subcarrier spacing (15kHz, same as LTE)
CarrierFrequency = 2.5e9; % Carrier Frequency
K_FBMC = 30; % Number of FBMC symbols in time
K_OFDMnoCP = 15; % Number of OFDM symbols in time (no CP)
K_OFDM = 14; % Number of OFDM symbols in time (same as in LTE)
CP_Length = 1/SubcarrierSpacing/14; % LTE CP Length in seconds
CP_Length_FBMC_DFT = 2; % CP in the frequency domain for the DFT spreading aproach. Multiple of two: 0, 2, 4... Can usually be set to zero
ICIpowerAware = false; % MEMORY problems => false. If set to true, calculate the channel induced interference power which is later used as addional "noise" power for the LLR calculation => Interference aware receiver.
UseSphereDecoder = true; % Sphere decoder is faster than ML detection
SamplingRate = 15e3*14*96*4; % Sampling rate, should approximatly match the power-delay profile of the channel. "*14" due to the CP
% Channel
PowerDelayProfile = 'TDL-A_9ns'; % 9ns => 10ns after sampling. 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)
Velocity_kmh = 3; % Velocity in km/h
% #########################################################################
% % In the paper:
% M_SNR_dB = [0:1.25:20];
% NrRepetitions = 1000;
% UseSphereDecoder = false;
% #########################################################################
%% LTE CQI
% CQI Table: The first column represents the modulation order: 4, 16, 64, 256. The second column represents the code rate (must be between zero and one). Currently, values are chosen according to the (old) LTE standard:
M_CQI = [4 , 78/1024;...
4 , 120/1024;...
4 , 193/1024;...
4 , 308/1024;...
4 , 449/1024;...
4 , 602/1024;...
16, 378/1024;...
16, 490/1024;...
16, 616/1024;...
64, 466/1024;...
64, 567/1024;...
64, 666/1024;...
64, 772/1024;...
64, 873/1024;...
64, 948/1024]; % page 48 of http:https://www.etsi.org/deliver/etsi_ts/136200_136299/136213/08.08.00_60/ts_136213v080800p.pdf
% Considered CQI combinations for two layers. We assume that both layers use the same CQI to keep the evaluation time low
if not(strcmp(mexext,'mexw64'))
% We use a win64 mexfile for code rates smaller than 1/3 => only works
% in 64-bit Windows
IndexCodeRateSmallerOneThird = find(M_CQI(:,2)<1/3);
if numel(IndexCodeRateSmallerOneThird)>0
M_CQI(IndexCodeRateSmallerOneThird,:) = [];
warning('A code rate smaller than 1/3 is only supported in Windows 64-bit => CQI values which contain a code rate smaller than 1/3 are discarded!');
end
end
M_Index_CQI_MIMO = [(1:size(M_CQI,1))' (1:size(M_CQI,1))'];
%% FBMC Object
FBMC = Modulation.FBMC(...
NrSubcarriers,... % Number of subcarriers
K_FBMC,... % Number of FBMC symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmit real valued signal
'Hermite-OQAM',... % Prototype filter (Hermite, PHYDYAS, RRC) and OQAM or QAM,
4, ... % Overlapping factor (also determines oversampling in the frequency domain)
0, ... % Initial phase shift
true ... % Polyphase implementation
);
% The only difference between DFT_FBMC and FBMC is the prototype filter, which is slightly reduced in DFT_FBMC (improves the SIR a litte bit and reduces the complexity)
FBMC_DFT = Modulation.FBMC(...
NrSubcarriers,... % Number of subcarriers
K_FBMC,... % Number of FBMC symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmit real valued signal
'HermiteCut-OQAM',... % Prototype filter Hermite, PHYDYAS, InversePHYDYAS, HermiteCut, PHYDYASCut, Hann, Blackman
4, ... % Overlapping factor (also determines oversampling in the frequency domain)
0, ... % Initial phase shift
true ... % Polyphase implementation
);
%% OFDM Object
ZeroGuardTimeLength = ((FBMC.Nr.SamplesTotal-(round(SamplingRate/SubcarrierSpacing)+0*SamplingRate)*K_OFDMnoCP)/2)/SamplingRate;
OFDMnoCP = Modulation.OFDM(...
NrSubcarriers,... % Number of active subcarriers
K_OFDMnoCP,... % Number of OFDM 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) 1/SubcarrierSpacing/(K/2-1)
ZeroGuardTimeLength ... % Zero guard length (s)
);
%% Check Number of Samples
if OFDMnoCP.Nr.SamplesTotal~=FBMC.Nr.SamplesTotal
error('Total number of samples must be the same for OFDM and FBMC.');
end
N = OFDMnoCP.Nr.SamplesTotal;
%% 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)
N,... % 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
50, ... % Number of paths for the WSSUS process. Only relevant for a 'Jakes' and 'Uniform' Doppler spectrum
2,... % Number of transmit antennas
2,... % Number of receive antennas
true ... % 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.
);
%% Coding and QAM Objects
for i_cqi = 1:size(M_Index_CQI_MIMO,1)
QAMModulationOrder_Antenna1 = M_CQI(M_Index_CQI_MIMO(i_cqi,1),1); % Stream 1
QAMModulationOrder_Antenna2 = M_CQI(M_Index_CQI_MIMO(i_cqi,2),1); % Stream 2
PAMModulationOrder_Antenna1 = sqrt(QAMModulationOrder_Antenna1); % Stream 1
PAMModulationOrder_Antenna2 = sqrt(QAMModulationOrder_Antenna2); % Stream 2
CodeRate_Antenna1 = M_CQI(M_Index_CQI_MIMO(i_cqi,1),2);
CodeRate_Anteanna2 = M_CQI(M_Index_CQI_MIMO(i_cqi,2),2);
QAM_Antenna1{i_cqi} = Modulation.SignalConstellation(QAMModulationOrder_Antenna1,'QAM');
QAM_Antenna2{i_cqi} = Modulation.SignalConstellation(QAMModulationOrder_Antenna2,'QAM');
PAM_Antenna1{i_cqi} = Modulation.SignalConstellation(PAMModulationOrder_Antenna1,'PAM');
PAM_Antenna2{i_cqi} = Modulation.SignalConstellation(PAMModulationOrder_Antenna2,'PAM');
TurboCoding_Antenna1{i_cqi} = Coding.TurboCoding(...
log2(QAMModulationOrder_Antenna1)*NrSubcarriers*K_OFDMnoCP,... % Number transmitted bits
round(CodeRate_Antenna1*log2(QAMModulationOrder_Antenna1)*NrSubcarriers*K_OFDMnoCP)... % Number data bits
);
TurboCoding_Antenna2{i_cqi} = Coding.TurboCoding(...
log2(QAMModulationOrder_Antenna2)*NrSubcarriers*K_OFDMnoCP,... % Number transmitted bits
round(CodeRate_Anteanna2*log2(QAMModulationOrder_Antenna2)*NrSubcarriers*K_OFDMnoCP)... % Number data bits
);
FBMC_DFT_TurboCoding_Antenna1{i_cqi} = Coding.TurboCoding(...
log2(QAMModulationOrder_Antenna1)*(NrSubcarriers-CP_Length_FBMC_DFT)/2*K_FBMC,... % Number transmitted bits
round(CodeRate_Antenna1*log2(QAMModulationOrder_Antenna1)*(NrSubcarriers-CP_Length_FBMC_DFT)/2*K_FBMC)... % Number data bits
);
FBMC_DFT_TurboCoding_Antenna2{i_cqi} = Coding.TurboCoding(...
log2(QAMModulationOrder_Antenna2)*(NrSubcarriers-CP_Length_FBMC_DFT)/2*K_FBMC,... % Number transmitted bits
round(CodeRate_Anteanna2*log2(QAMModulationOrder_Antenna2)*(NrSubcarriers-CP_Length_FBMC_DFT)/2*K_FBMC)... % Number data bits
);
end
%% DFT Matrix
DFTMatrix = fft(eye(NrSubcarriers))/sqrt(NrSubcarriers);
%% Generate coding matrix for the novel DFT spreading concept
TrueNrMCSymbols = FBMC_DFT.Nr.MCSymbols;
FBMC_DFT.SetNrMCSymbols(1);
D_temp = FBMC_DFT.GetFBMCMatrix;
FBMC_DFT.SetNrMCSymbols(TrueNrMCSymbols);
% Note that, if CP_Length==0, then T_CP and R_CP are identity matrices
T_CP = zeros(NrSubcarriers,NrSubcarriers-CP_Length_FBMC_DFT);
T_CP(1:CP_Length_FBMC_DFT/2,end-CP_Length_FBMC_DFT/2+1:end) = eye(CP_Length_FBMC_DFT/2);
T_CP(CP_Length_FBMC_DFT/2+1:end-CP_Length_FBMC_DFT/2,:) = eye(NrSubcarriers-CP_Length_FBMC_DFT);
T_CP(end-CP_Length_FBMC_DFT/2+1:end,1:CP_Length_FBMC_DFT/2) = eye(CP_Length_FBMC_DFT/2);
R_CP = zeros(NrSubcarriers,NrSubcarriers-CP_Length_FBMC_DFT);
R_CP(CP_Length_FBMC_DFT/2+1:end-CP_Length_FBMC_DFT/2,:) = eye(NrSubcarriers-CP_Length_FBMC_DFT);
% DFT matrix for the coding process
W = fft( eye(NrSubcarriers-CP_Length_FBMC_DFT) ) / sqrt( NrSubcarriers-CP_Length_FBMC_DFT );
% Diagonal elements of the FBMC transmission matrix after DFT spreading despreading
a = abs(diag(W'*R_CP'*D_temp*T_CP*W));
a = a+randn(size(a))*10^-12; % randn so that sorting is unique
% Sort a
a_Tilde = sort(a,'descend');
% Get index representing the largest values of a
alpha = a_Tilde((NrSubcarriers-CP_Length_FBMC_DFT)/2);
Index_Tilde = (a>=alpha);
% Reduced DFT matrix
W_Tilde = W(:,Index_Tilde) ;
% One-tap scaling of the data symbols
b_Tilde = sqrt(2./(a(Index_Tilde)));
% Final coding matrix for one FBMC symbol
C_DFTspread_TX = T_CP*W_Tilde*diag(b_Tilde);
C_DFTspread_RX = R_CP*W_Tilde*diag(b_Tilde);
%% DFT Spread no CP
% DFT matrix for the coding process
W = fft( eye(NrSubcarriers) ) / sqrt( NrSubcarriers );
% Diagonal elements of the FBMC transmission matrix after DFT spreading despreading
a = abs(diag(W'*D_temp*W));
a = a+randn(size(a))*10^-12; % randn so that sorting is unique
% Sort a
a_Tilde = sort(a,'descend');
% Get index representing the largest values of a
alpha = a_Tilde((NrSubcarriers)/2);
Index_Tilde = (a>=alpha);
% Reduced DFT matrix
W_Tilde = W(:,Index_Tilde) ;
% One-tap scaling of the data symbols
b_Tilde = sqrt(2./(a(Index_Tilde)));
% Final coding matrix for one FBMC symbol
C_DFTspread_TX_noCP = W_Tilde*diag(b_Tilde);
C_DFTspread_RX_noCP = W_Tilde*diag(b_Tilde);
%% ICI Power Aware
if not(ICIpowerAware)
PI_OFDMnoCP = 0;
PI_OFDM = 0;
PI_FBMC = 0;
else
% we reduce the sampling rate and number of subcarriers so that the vectorized channel correlation matrix can be calculated
SamplingRate_Smaller = SamplingRate/4;
NrSubcarriersTemp = floor(SamplingRate_Smaller/SubcarrierSpacing);
OFDMnoCP_Temp = Modulation.OFDM(...
NrSubcarriersTemp,... % Number of active subcarriers
3,... % Number of OFDM Symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate_Smaller,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmit real valued signal
0, ... % Cyclic prefix length (s) 1/SubcarrierSpacing/(K/2-1)
0 ... % Zero guard length (s)
);
ChannelModel_Temp = Channel.FastFading(...
SamplingRate_Smaller,... % 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)
OFDMnoCP_Temp.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
50, ... % Number of paths for the WSSUS process. Only relevant for a 'Jakes' and 'Uniform' Doppler spectrum
1,... % Number of transmit antennas
1,... % Number of receive antennas
false ... % 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.
);
[PS_OFDMnoCP,PI_OFDMnoCP] = OFDMnoCP_Temp.GetSignalAndInterferencePowerQAM(...
ChannelModel_Temp.GetCorrelationMatrix,eye(NrSubcarriersTemp*3),0, round(NrSubcarriersTemp/2),2);
disp(['OFDM(noCP) SIR: ' int2str(10*log10(PS_OFDMnoCP/PI_OFDMnoCP)) 'dB']);
FBMC_Temp = Modulation.FBMC(...
7,... % Number of subcarriers
7,... % Number of FBMC symbols
SubcarrierSpacing,... % Subcarrier spacing (Hz)
SamplingRate_Smaller,... % Sampling rate (Samples/s)
0,... % Intermediate frequency first subcarrier (Hz)
false,... % Transmit real valued signal
'Hermite-OQAM',... % Prototype filter (Hermite, PHYDYAS, RRC) and OQAM or QAM,
4, ... % Overlapping factor (also determines oversampling in the frequency domain)
0, ... % Initial phase shift
true ... % Polyphase implementation
);
ChannelModel_Temp = Channel.FastFading(...
SamplingRate_Smaller,... % 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)
FBMC_Temp.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
50, ... % Number of paths for the WSSUS process. Only relevant for a 'Jakes' and 'Uniform' Doppler spectrum
1,... % Number of transmit antennas
1,... % Number of receive antennas
false ... % 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.
);
[PS_FBMC,PI_FBMC] = FBMC_Temp.GetSignalAndInterferencePowerOQAM(...
ChannelModel_Temp.GetCorrelationMatrix,eye(7*7),0, 4,4);
disp(['FBMC-OQAM SIR: ' int2str(10*log10(PS_FBMC/PI_FBMC)) 'dB']);
end
InterferenceMatrix = kron(eye(FBMC.Nr.MCSymbols),C_DFTspread_RX)'*FBMC_DFT.GetFBMCMatrix*kron(eye(FBMC.Nr.MCSymbols),C_DFTspread_TX)/2;
PI_DFT_Intrinsic = mean(sum(abs(InterferenceMatrix-eye(size(InterferenceMatrix,1))).^2,2));
disp(['Intrinsic interference FBMC DFT Spread: ' int2str(10*log10(1/PI_DFT_Intrinsic)) 'dB']);
%% Preallocate
Throughput_OFDMnoCP = nan(length(M_SNR_dB),NrRepetitions,size(M_Index_CQI_MIMO,1));
Throughput_OFDMnoCP_DFT = nan(length(M_SNR_dB),NrRepetitions,size(M_Index_CQI_MIMO,1));
Throughput_FBMC = nan(length(M_SNR_dB),NrRepetitions,size(M_Index_CQI_MIMO,1));
Throughput_FBMC_DFT = nan(length(M_SNR_dB),NrRepetitions,size(M_Index_CQI_MIMO,1));
Throughput_OFDMnoCP_ML = nan(length(M_SNR_dB),NrRepetitions,size(M_Index_CQI_MIMO,1));
Throughput_FBMC_DFT_ML = nan(length(M_SNR_dB),NrRepetitions,size(M_Index_CQI_MIMO,1));
Throughput_FBMC_DFTnoCP_ML = nan(length(M_SNR_dB),NrRepetitions,size(M_Index_CQI_MIMO,1));
disp('The simulation may take a while ... ');
% parfor i_rep = 1:NrRepetitions % PARFOR
for i_rep = 1:NrRepetitions % Conventional FOR loop
tic;
%% New Channel Realization
ChannelModel.NewRealization;
%% Perfect Channel Knowledge
h_OFDMnoCP = 1/sqrt(2) * ChannelModel.GetTransferFunction( OFDMnoCP.GetTimeIndexMidPos , OFDMnoCP.Implementation.FFTSize , OFDMnoCP.Implementation.IntermediateFrequency+(1:OFDMnoCP.Nr.Subcarriers) );
H_OFDMnoCP = permute(h_OFDMnoCP,[3 4 1 2]);
h_FBMC = 1/sqrt(2) * ChannelModel.GetTransferFunction( FBMC.GetTimeIndexMidPos , FBMC.Implementation.FFTSize , FBMC.Implementation.IntermediateFrequency+(1:FBMC.Nr.Subcarriers) );
H_FBMC = permute(h_FBMC,[3 4 1 2]);
H_FBMC_FrequencyMean = repmat(mean(H_FBMC,3),[1 1 (NrSubcarriers-CP_Length_FBMC_DFT)/2 1]);
H_FBMCnoCP_FrequencyMean = repmat(mean(H_FBMC,3),[1 1 NrSubcarriers/2 1]);
%% Preallocate2
Throughput_OFDMnoCP_OneRealization = nan(length(M_SNR_dB),size(M_Index_CQI_MIMO,1));
Throughput_OFDMnoCP_DFT_OneRealization = nan(length(M_SNR_dB),size(M_Index_CQI_MIMO,1));
Throughput_FBMC_OneRealization = nan(length(M_SNR_dB),size(M_Index_CQI_MIMO,1));
Throughput_FBMC_DFT_OneRealization = nan(length(M_SNR_dB),size(M_Index_CQI_MIMO,1));
Throughput_OFDMnoCP_ML_OneRealization = nan(length(M_SNR_dB),size(M_Index_CQI_MIMO,1));
Throughput_FBMC_DFT_ML_OneRealization = nan(length(M_SNR_dB),size(M_Index_CQI_MIMO,1));
Throughput_FBMC_DFTnoCP_ML_OneRealization = nan(length(M_SNR_dB),size(M_Index_CQI_MIMO,1));
% Simulate over different modulation orders and code rates
for i_cqi = 1:size(M_Index_CQI_MIMO,1);
% Generate Bit Stream
BinaryDataStream_Antenna1 = randi([0 1],TurboCoding_Antenna1{i_cqi}.NrDataBits,1);
BinaryDataStream_Antenna2 = randi([0 1],TurboCoding_Antenna2{i_cqi}.NrDataBits,1);
BinaryDataStream_FBMC_DFT_Antenna1 = randi([0 1],FBMC_DFT_TurboCoding_Antenna1{i_cqi}.NrDataBits,1); % Maybe a reduced bit rate due to the CP (but not necesarry most of the time!)
BinaryDataStream_FBMC_DFT_Antenna2 = randi([0 1],FBMC_DFT_TurboCoding_Antenna2{i_cqi}.NrDataBits,1); % Maybe a reduced bit rate due to the CP (but not necesarry most of the time!)
% Channel Coding
TurboCoding_Antenna1{i_cqi}.UpdateInterleaving;
TurboCoding_Antenna2{i_cqi}.UpdateInterleaving;
FBMC_DFT_TurboCoding_Antenna1{i_cqi}.UpdateInterleaving;
FBMC_DFT_TurboCoding_Antenna2{i_cqi}.UpdateInterleaving;
CodedBits_Antenna1 = TurboCoding_Antenna1{i_cqi}.TurboEncoder(BinaryDataStream_Antenna1);
CodedBits_Antenna2 = TurboCoding_Antenna2{i_cqi}.TurboEncoder(BinaryDataStream_Antenna2);
CodedBits_FBMC_DFT_Antenna1 = FBMC_DFT_TurboCoding_Antenna1{i_cqi}.TurboEncoder(BinaryDataStream_FBMC_DFT_Antenna1);
CodedBits_FBMC_DFT_Antenna2 = FBMC_DFT_TurboCoding_Antenna2{i_cqi}.TurboEncoder(BinaryDataStream_FBMC_DFT_Antenna2);
% Bit Interleaving
BitInterleaving_Antenna1 = randperm(TurboCoding_Antenna1{i_cqi}.NrCodedBits);
BitInterleaving_Antenna2 = randperm(TurboCoding_Antenna2{i_cqi}.NrCodedBits);
BitInterleaving_FBMC_DFT_Antenna1 = randperm(FBMC_DFT_TurboCoding_Antenna1{i_cqi}.NrCodedBits);
BitInterleaving_FBMC_DFT_Antenna2 = randperm(FBMC_DFT_TurboCoding_Antenna2{i_cqi}.NrCodedBits);
CodedBits_Antenna1 = CodedBits_Antenna1(BitInterleaving_Antenna1);
CodedBits_Antenna2 = CodedBits_Antenna2(BitInterleaving_Antenna2);
CodedBits_FBMC_DFT_Antenna1 = CodedBits_FBMC_DFT_Antenna1(BitInterleaving_FBMC_DFT_Antenna1);
CodedBits_FBMC_DFT_Antenna2 = CodedBits_FBMC_DFT_Antenna2(BitInterleaving_FBMC_DFT_Antenna2);
% Map Bit Stream to Symbols
x_OFDMnoCP_Antenna1 = reshape(QAM_Antenna1{i_cqi}.Bit2Symbol(CodedBits_Antenna1),NrSubcarriers,K_OFDMnoCP);
x_OFDMnoCP_Antenna2 = reshape(QAM_Antenna2{i_cqi}.Bit2Symbol(CodedBits_Antenna2),NrSubcarriers,K_OFDMnoCP);
x_FBMC_DFT_Antenna1 = reshape(QAM_Antenna1{i_cqi}.Bit2Symbol(CodedBits_FBMC_DFT_Antenna1),(NrSubcarriers-CP_Length_FBMC_DFT)/2,K_FBMC);
x_FBMC_DFT_Antenna2 = reshape(QAM_Antenna2{i_cqi}.Bit2Symbol(CodedBits_FBMC_DFT_Antenna2),(NrSubcarriers-CP_Length_FBMC_DFT)/2,K_FBMC);
x_FBMC_Antenna1 = reshape(PAM_Antenna1{i_cqi}.Bit2Symbol(CodedBits_Antenna1),NrSubcarriers,K_FBMC);
x_FBMC_Antenna2 = reshape(PAM_Antenna2{i_cqi}.Bit2Symbol(CodedBits_Antenna2),NrSubcarriers,K_FBMC);
% Generate Transmit Signal in the Time Domain
s_OFDMnoCP_Antenna1 = OFDMnoCP.Modulation(x_OFDMnoCP_Antenna1)/sqrt(2);
s_OFDMnoCP_Antenna2 = OFDMnoCP.Modulation(x_OFDMnoCP_Antenna2)/sqrt(2);
s_FBMC_Antenna1 = FBMC.Modulation(x_FBMC_Antenna1)/sqrt(2);
s_FBMC_Antenna2 = FBMC.Modulation(x_FBMC_Antenna2)/sqrt(2);
s_DFT_OFDMnoCP_Antenna1 = OFDMnoCP.Modulation(DFTMatrix*x_OFDMnoCP_Antenna1)/sqrt(2);
s_DFT_OFDMnoCP_Antenna2 = OFDMnoCP.Modulation(DFTMatrix*x_OFDMnoCP_Antenna2)/sqrt(2);
s_FBMC_DFT_Antenna1 = FBMC_DFT.Modulation(C_DFTspread_TX*x_FBMC_DFT_Antenna1)/sqrt(2);
s_FBMC_DFT_Antenna2 = FBMC_DFT.Modulation(C_DFTspread_TX*x_FBMC_DFT_Antenna2)/sqrt(2);
s_FBMC_DFTnoCP_Antenna1 = FBMC_DFT.Modulation(C_DFTspread_TX_noCP*reshape(x_OFDMnoCP_Antenna1,NrSubcarriers/2,[]))/sqrt(2);
s_FBMC_DFTnoCP_Antenna2 = FBMC_DFT.Modulation(C_DFTspread_TX_noCP*reshape(x_OFDMnoCP_Antenna2,NrSubcarriers/2,[]))/sqrt(2);
% Channel
r_OFDMnoCP_noNoise = ChannelModel.Convolution([s_OFDMnoCP_Antenna1 s_OFDMnoCP_Antenna2]);
r_FBMC_noNoise = ChannelModel.Convolution([s_FBMC_Antenna1 s_FBMC_Antenna2]);
r_DFT_OFDMnoCP_noNoise = ChannelModel.Convolution([s_DFT_OFDMnoCP_Antenna1 s_DFT_OFDMnoCP_Antenna2]);
r_FBMC_DFT_noNoise = ChannelModel.Convolution([s_FBMC_DFT_Antenna1 s_FBMC_DFT_Antenna2]);
r_FBMC_DFTnoCP_noNoise = ChannelModel.Convolution([s_FBMC_DFTnoCP_Antenna1 s_FBMC_DFTnoCP_Antenna2]);
% Simulate over different noise values
for i_SNR = 1:length(M_SNR_dB)
SNR_dB = M_SNR_dB(i_SNR);
Pn = 10^(-SNR_dB/10);
Pn_time = SamplingRate/(SubcarrierSpacing*NrSubcarriers)*10^(-SNR_dB/10);
% Add Noise
noise_Antenna1 = sqrt(Pn_time/2)*(randn(N,1)+1j*randn(N,1));
noise_Antenna2 = sqrt(Pn_time/2)*(randn(N,1)+1j*randn(N,1));
r_OFDMnoCP_Antenna1 = r_OFDMnoCP_noNoise(:,1) + noise_Antenna1;
r_OFDMnoCP_Antenna2 = r_OFDMnoCP_noNoise(:,2) + noise_Antenna2;
r_FBMC_Antenna1 = r_FBMC_noNoise(:,1) + noise_Antenna1;
r_FBMC_Antenna2 = r_FBMC_noNoise(:,2) + noise_Antenna2;
r_DFT_OFDMnoCP_Antenna1 = r_DFT_OFDMnoCP_noNoise(:,1) + noise_Antenna1;
r_DFT_OFDMnoCP_Antenna2 = r_DFT_OFDMnoCP_noNoise(:,2) + noise_Antenna2;
r_FBMC_DFT_Antenna1 = r_FBMC_DFT_noNoise(:,1) + noise_Antenna1;
r_FBMC_DFT_Antenna2 = r_FBMC_DFT_noNoise(:,2) + noise_Antenna2;
r_FBMC_DFTnoCP_Antenna1 = r_FBMC_DFTnoCP_noNoise(:,1) + noise_Antenna1;
r_FBMC_DFTnoCP_Antenna2 = r_FBMC_DFTnoCP_noNoise(:,2) + noise_Antenna2;
% Received Symbols (Demodulation)
y_OFDMnoCP_Antenna1 = OFDMnoCP.Demodulation(r_OFDMnoCP_Antenna1);
y_OFDMnoCP_Antenna2 = OFDMnoCP.Demodulation(r_OFDMnoCP_Antenna2);
y_FBMC_Antenna1 = FBMC.Demodulation(r_FBMC_Antenna1);
y_FBMC_Antenna2 = FBMC.Demodulation(r_FBMC_Antenna2);
y_DFT_OFDMnoCP_Antenna1 = OFDMnoCP.Demodulation(r_DFT_OFDMnoCP_Antenna1);
y_DFT_OFDMnoCP_Antenna2 = OFDMnoCP.Demodulation(r_DFT_OFDMnoCP_Antenna2);
y_FBMC_DFT_Antenna1 = FBMC_DFT.Demodulation(r_FBMC_DFT_Antenna1);
y_FBMC_DFT_Antenna2 = FBMC_DFT.Demodulation(r_FBMC_DFT_Antenna2);
y_FBMC_DFTnoCP_Antenna1 = FBMC_DFT.Demodulation(r_FBMC_DFTnoCP_Antenna1);
y_FBMC_DFTnoCP_Antenna2 = FBMC_DFT.Demodulation(r_FBMC_DFTnoCP_Antenna2);
% MMSE Equalizer and LLR Calculation
% OFDM no CP
[~,x_est_OFDMnoCP,NoiseScaling,UnbiasedScaling] = QAM_Antenna1{i_cqi}.LLR_MIMO_MMSE([y_OFDMnoCP_Antenna1(:).';y_OFDMnoCP_Antenna2(:).'],H_OFDMnoCP(:,:,:), Pn );
LLR_OFDMnoCP_Antenna1 = QAM_Antenna1{i_cqi}.LLR_AWGN(x_est_OFDMnoCP(:,1)./UnbiasedScaling(:,1),NoiseScaling(:,1)./UnbiasedScaling(:,1).^2);
LLR_OFDMnoCP_Antenna2 = QAM_Antenna2{i_cqi}.LLR_AWGN(x_est_OFDMnoCP(:,2)./UnbiasedScaling(:,2),NoiseScaling(:,2)./UnbiasedScaling(:,2).^2);
[~,x_est_DFT_OFDMnoCP_BeforeDespreading,NoiseScaling_BeforeDFT,UnbiasedScaling_BeforeDFT]= QAM_Antenna1{i_cqi}.LLR_MIMO_MMSE([y_DFT_OFDMnoCP_Antenna1(:).';y_DFT_OFDMnoCP_Antenna2(:).'],H_OFDMnoCP(:,:,:), Pn );
x_est_DFT_OFDMnoCP = reshape(DFTMatrix'*reshape(x_est_DFT_OFDMnoCP_BeforeDespreading,OFDMnoCP.Nr.Subcarriers,OFDMnoCP.Nr.MCSymbols*2),[],2);
NoiseScaling = reshape(repmat(mean(reshape(NoiseScaling_BeforeDFT,OFDMnoCP.Nr.Subcarriers,OFDMnoCP.Nr.MCSymbols*2),1),OFDMnoCP.Nr.Subcarriers,1),[],2);
UnbiasedScaling = reshape(repmat(mean(reshape(UnbiasedScaling_BeforeDFT,OFDMnoCP.Nr.Subcarriers,OFDMnoCP.Nr.MCSymbols*2),1),OFDMnoCP.Nr.Subcarriers,1),[],2);
LLR_OFDMnoCP_DFT_Antenna1 = QAM_Antenna1{i_cqi}.LLR_AWGN(x_est_DFT_OFDMnoCP(:,1)./UnbiasedScaling(:,1),NoiseScaling(:,1)./UnbiasedScaling(:,1).^2);
LLR_OFDMnoCP_DFT_Antenna2 = QAM_Antenna2{i_cqi}.LLR_AWGN(x_est_DFT_OFDMnoCP(:,2)./UnbiasedScaling(:,2),NoiseScaling(:,2)./UnbiasedScaling(:,2).^2);
% FBMC
[~,x_est_FBMC,NoiseScaling,UnbiasedScaling] = PAM_Antenna1{i_cqi}.LLR_MIMO_MMSE([y_FBMC_Antenna1(:).';y_FBMC_Antenna2(:).'],H_FBMC(:,:,:),Pn );
LLR_FBMC_Antenna1 = PAM_Antenna1{i_cqi}.LLR_AWGN(real(x_est_FBMC(:,1))./UnbiasedScaling(:,1),NoiseScaling(:,1)./UnbiasedScaling(:,1).^2);
LLR_FBMC_Antenna2 = PAM_Antenna2{i_cqi}.LLR_AWGN(real(x_est_FBMC(:,2))./UnbiasedScaling(:,2),NoiseScaling(:,2)./UnbiasedScaling(:,2).^2);
[~,x_est_DFT_FBMC_BeforeDespreading,NoiseScaling_BeforeDFT,UnbiasedScaling_BeforeDFT] = QAM_Antenna1{i_cqi}.LLR_MIMO_MMSE([y_FBMC_DFT_Antenna1(:).';y_FBMC_DFT_Antenna2(:).'],H_FBMC(:,:,:), Pn );
x_est_DFT_FBMC = reshape(C_DFTspread_RX'*reshape(x_est_DFT_FBMC_BeforeDespreading,FBMC.Nr.Subcarriers,FBMC.Nr.MCSymbols*2),[],2)/2;
NoiseScaling = reshape(repmat(mean(reshape(NoiseScaling_BeforeDFT,FBMC.Nr.Subcarriers,FBMC.Nr.MCSymbols*2),1),(FBMC.Nr.Subcarriers-CP_Length_FBMC_DFT)/2,1),[],2);
UnbiasedScaling = reshape(repmat(mean(reshape(UnbiasedScaling_BeforeDFT,FBMC.Nr.Subcarriers,FBMC.Nr.MCSymbols*2),1),(FBMC.Nr.Subcarriers-CP_Length_FBMC_DFT)/2,1),[],2);
LLR_FBMC_DFT_Antenna1 = QAM_Antenna1{i_cqi}.LLR_AWGN(x_est_DFT_FBMC(:,1)./UnbiasedScaling(:,1),NoiseScaling(:,1)./UnbiasedScaling(:,1).^2);
LLR_FBMC_DFT_Antenna2 = QAM_Antenna2{i_cqi}.LLR_AWGN(x_est_DFT_FBMC(:,2)./UnbiasedScaling(:,2),NoiseScaling(:,2)./UnbiasedScaling(:,2).^2);
% ML Detection
% OFDM
if UseSphereDecoder
LLR_OFDMnoCP_ML = QAM_Antenna1{i_cqi}.LLR_MIMO_Sphere([y_OFDMnoCP_Antenna1(:).';y_OFDMnoCP_Antenna2(:).'],H_OFDMnoCP(:,:,:), (Pn + PI_OFDMnoCP));
else
LLR_OFDMnoCP_ML = QAM_Antenna1{i_cqi}.LLR_MIMO_ML([y_OFDMnoCP_Antenna1(:).';y_OFDMnoCP_Antenna2(:).'],H_OFDMnoCP(:,:,:), (Pn)*repmat(eye(2),[1 1 size(H_OFDMnoCP(:,:,:),3)]));
end
LLR_OFDMnoCP_ML_Antenna1 = LLR_OFDMnoCP_ML(:,1);
LLR_OFDMnoCP_ML_Antenna2 = LLR_OFDMnoCP_ML(:,2);
% FBMC
y_FBMC_DFT_Despread_Antenna1 = C_DFTspread_RX'*y_FBMC_DFT_Antenna1/2;
y_FBMC_DFT_Despread_Antenna2 = C_DFTspread_RX'*y_FBMC_DFT_Antenna2/2;
% Rn = nan(2,2,size(H_FBMC_FrequencyMean(:,:,:),3));
% for i_Rn = 1:size(H_FBMC_FrequencyMean(:,:,:),3)
% Rn(:,:,i_Rn) = diag(sum(abs(H_FBMC_FrequencyMean(:,:,i_Rn)).^2,2)*PI_DFT_Intrinsic + (Pn + PI_FBMC*2));
% end
Rn = (Pn + PI_DFT_Intrinsic)*repmat(eye(2),[1 1 size(H_FBMC_FrequencyMean(:,:,:),3)]);
if UseSphereDecoder
LLR_FBMC_DFT_ML = QAM_Antenna1{i_cqi}.LLR_MIMO_Sphere([y_FBMC_DFT_Despread_Antenna1(:).';y_FBMC_DFT_Despread_Antenna2(:).'],H_FBMC_FrequencyMean(:,:,:), (Pn + PI_FBMC*2) );
else
LLR_FBMC_DFT_ML = QAM_Antenna1{i_cqi}.LLR_MIMO_ML([y_FBMC_DFT_Despread_Antenna1(:).';y_FBMC_DFT_Despread_Antenna2(:).'],H_FBMC_FrequencyMean(:,:,:), Rn );
end
LLR_FBMC_DFT_ML_Antenna1 = LLR_FBMC_DFT_ML(:,1);
LLR_FBMC_DFT_ML_Antenna2 = LLR_FBMC_DFT_ML(:,2);
% FBMC no CP
y_FBMC_DFTnoCP_Despread_Antenna1 = C_DFTspread_RX_noCP'*y_FBMC_DFTnoCP_Antenna1/2;
y_FBMC_DFTnoCP_Despread_Antenna2 = C_DFTspread_RX_noCP'*y_FBMC_DFTnoCP_Antenna2/2;
% Rn = nan(2,2,size(H_FBMC_FrequencyMean(:,:,:),3));
% for i_Rn = 1:size(H_FBMC_FrequencyMean(:,:,:),3)
% Rn(:,:,i_Rn) = diag(sum(abs(H_FBMC_FrequencyMean(:,:,i_Rn)).^2,2)*PI_DFT_Intrinsic + (Pn + PI_FBMC*2));
% end
Rn = (Pn + PI_DFT_Intrinsic)*repmat(eye(2),[1 1 size(H_FBMCnoCP_FrequencyMean(:,:,:),3)]);
if UseSphereDecoder
LLR_FBMC_DFTnoCP_ML = QAM_Antenna1{i_cqi}.LLR_MIMO_Sphere([y_FBMC_DFTnoCP_Despread_Antenna1(:).';y_FBMC_DFTnoCP_Despread_Antenna2(:).'],H_FBMCnoCP_FrequencyMean(:,:,:), (Pn + PI_FBMC*2) );
else
LLR_FBMC_DFTnoCP_ML = QAM_Antenna1{i_cqi}.LLR_MIMO_ML([y_FBMC_DFTnoCP_Despread_Antenna1(:).';y_FBMC_DFTnoCP_Despread_Antenna2(:).'],H_FBMCnoCP_FrequencyMean(:,:,:), Rn );
end
LLR_FBMC_DFTnoCP_ML_Antenna1 = LLR_FBMC_DFTnoCP_ML(:,1);
LLR_FBMC_DFTnoCP_ML_Antenna2 = LLR_FBMC_DFTnoCP_ML(:,2);
% De-interleaving
LLR_OFDMnoCP_Antenna1(BitInterleaving_Antenna1) = LLR_OFDMnoCP_Antenna1;
LLR_OFDMnoCP_Antenna2(BitInterleaving_Antenna2) = LLR_OFDMnoCP_Antenna2;
LLR_OFDMnoCP_DFT_Antenna1(BitInterleaving_Antenna1) = LLR_OFDMnoCP_DFT_Antenna1;
LLR_OFDMnoCP_DFT_Antenna2(BitInterleaving_Antenna2) = LLR_OFDMnoCP_DFT_Antenna2;
LLR_FBMC_Antenna1(BitInterleaving_Antenna1) = LLR_FBMC_Antenna1;
LLR_FBMC_Antenna2(BitInterleaving_Antenna2) = LLR_FBMC_Antenna2;
LLR_FBMC_DFT_Antenna1(BitInterleaving_FBMC_DFT_Antenna1) = LLR_FBMC_DFT_Antenna1;
LLR_FBMC_DFT_Antenna2(BitInterleaving_FBMC_DFT_Antenna2) = LLR_FBMC_DFT_Antenna2;
LLR_OFDMnoCP_ML_Antenna1(BitInterleaving_Antenna1) = LLR_OFDMnoCP_ML_Antenna1;
LLR_OFDMnoCP_ML_Antenna2(BitInterleaving_Antenna2) = LLR_OFDMnoCP_ML_Antenna2;
LLR_FBMC_DFT_ML_Antenna1(BitInterleaving_FBMC_DFT_Antenna1) = LLR_FBMC_DFT_ML_Antenna1;
LLR_FBMC_DFT_ML_Antenna2(BitInterleaving_FBMC_DFT_Antenna2) = LLR_FBMC_DFT_ML_Antenna2;
LLR_FBMC_DFTnoCP_ML_Antenna1(BitInterleaving_Antenna1) = LLR_FBMC_DFTnoCP_ML_Antenna1;
LLR_FBMC_DFTnoCP_ML_Antenna2(BitInterleaving_Antenna2) = LLR_FBMC_DFTnoCP_ML_Antenna2;
% Turbo-Decoding
DecodedBits_OFDMnoCP_Antenna1 = TurboCoding_Antenna1{i_cqi}.TurboDecoder(LLR_OFDMnoCP_Antenna1);
DecodedBits_OFDMnoCP_Antenna2 = TurboCoding_Antenna2{i_cqi}.TurboDecoder(LLR_OFDMnoCP_Antenna2);
DecodedBits_OFDMnoCP_DFT_Antenna1 = TurboCoding_Antenna1{i_cqi}.TurboDecoder(LLR_OFDMnoCP_DFT_Antenna1);
DecodedBits_OFDMnoCP_DFT_Antenna2 = TurboCoding_Antenna2{i_cqi}.TurboDecoder(LLR_OFDMnoCP_DFT_Antenna2);
DecodedBits_FBMC_Antenna1 = TurboCoding_Antenna1{i_cqi}.TurboDecoder(LLR_FBMC_Antenna1);
DecodedBits_FBMC_Antenna2 = TurboCoding_Antenna2{i_cqi}.TurboDecoder(LLR_FBMC_Antenna2);
DecodedBits_FBMC_DFT_Antenna1 = FBMC_DFT_TurboCoding_Antenna1{i_cqi}.TurboDecoder(LLR_FBMC_DFT_Antenna1);
DecodedBits_FBMC_DFT_Antenna2 = FBMC_DFT_TurboCoding_Antenna2{i_cqi}.TurboDecoder(LLR_FBMC_DFT_Antenna2);
DecodedBits_OFDMnoCP_ML_Antenna1 = TurboCoding_Antenna1{i_cqi}.TurboDecoder(LLR_OFDMnoCP_ML_Antenna1);
DecodedBits_OFDMnoCP_ML_Antenna2 = TurboCoding_Antenna2{i_cqi}.TurboDecoder(LLR_OFDMnoCP_ML_Antenna2);
DecodedBits_FBMC_DFT_ML_Antenna1 = FBMC_DFT_TurboCoding_Antenna1{i_cqi}.TurboDecoder(LLR_FBMC_DFT_ML_Antenna1);
DecodedBits_FBMC_DFT_ML_Antenna2 = FBMC_DFT_TurboCoding_Antenna2{i_cqi}.TurboDecoder(LLR_FBMC_DFT_ML_Antenna2);
DecodedBits_FBMC_DFTnoCP_ML_Antenna1 = TurboCoding_Antenna1{i_cqi}.TurboDecoder(LLR_FBMC_DFTnoCP_ML_Antenna1);
DecodedBits_FBMC_DFTnoCP_ML_Antenna2 = TurboCoding_Antenna2{i_cqi}.TurboDecoder(LLR_FBMC_DFTnoCP_ML_Antenna2);
% Throughput
KT_OFDMnoCP = (OFDMnoCP.Nr.MCSymbols*OFDMnoCP.PHY.TimeSpacing);
Throughput_OFDMnoCP_OneRealization(i_SNR,i_cqi) = (all(DecodedBits_OFDMnoCP_Antenna1==BinaryDataStream_Antenna1)*length(DecodedBits_OFDMnoCP_Antenna1)+all(DecodedBits_OFDMnoCP_Antenna2==BinaryDataStream_Antenna2)*length(DecodedBits_OFDMnoCP_Antenna2))/KT_OFDMnoCP;
Throughput_OFDMnoCP_DFT_OneRealization(i_SNR,i_cqi) = (all(DecodedBits_OFDMnoCP_DFT_Antenna1==BinaryDataStream_Antenna1)*length(DecodedBits_OFDMnoCP_DFT_Antenna1)+all(DecodedBits_OFDMnoCP_DFT_Antenna2==BinaryDataStream_Antenna2)*length(DecodedBits_OFDMnoCP_DFT_Antenna2))/KT_OFDMnoCP;
Throughput_OFDMnoCP_ML_OneRealization(i_SNR,i_cqi) = (all(DecodedBits_OFDMnoCP_ML_Antenna1==BinaryDataStream_Antenna1)*length(DecodedBits_OFDMnoCP_ML_Antenna1)+all(DecodedBits_OFDMnoCP_ML_Antenna2==BinaryDataStream_Antenna2)*length(DecodedBits_OFDMnoCP_ML_Antenna2))/KT_OFDMnoCP;
KT_FBMC = (FBMC.Nr.MCSymbols*FBMC.PHY.TimeSpacing);
Throughput_FBMC_OneRealization(i_SNR,i_cqi) = (all(DecodedBits_FBMC_Antenna1==BinaryDataStream_Antenna1)*length(DecodedBits_FBMC_Antenna1)+all(DecodedBits_FBMC_Antenna2==BinaryDataStream_Antenna2)*length(DecodedBits_FBMC_Antenna2))/KT_FBMC;
Throughput_FBMC_DFT_OneRealization(i_SNR,i_cqi) = (all(DecodedBits_FBMC_DFT_Antenna1==BinaryDataStream_FBMC_DFT_Antenna1)*length(DecodedBits_FBMC_DFT_Antenna1)+all(DecodedBits_FBMC_DFT_Antenna2==BinaryDataStream_FBMC_DFT_Antenna2)*length(DecodedBits_FBMC_DFT_Antenna2))/KT_FBMC;
Throughput_FBMC_DFT_ML_OneRealization(i_SNR,i_cqi) = (all(DecodedBits_FBMC_DFT_ML_Antenna1==BinaryDataStream_FBMC_DFT_Antenna1)*length(DecodedBits_FBMC_DFT_ML_Antenna1)+all(DecodedBits_FBMC_DFT_ML_Antenna2==BinaryDataStream_FBMC_DFT_Antenna2)*length(DecodedBits_FBMC_DFT_ML_Antenna2))/KT_FBMC;
Throughput_FBMC_DFTnoCP_ML_OneRealization(i_SNR,i_cqi) = (all(DecodedBits_FBMC_DFTnoCP_ML_Antenna1==BinaryDataStream_Antenna1)*length(DecodedBits_FBMC_DFTnoCP_ML_Antenna1)+all(DecodedBits_FBMC_DFTnoCP_ML_Antenna2==BinaryDataStream_Antenna2)*length(DecodedBits_FBMC_DFTnoCP_ML_Antenna2))/KT_FBMC;
end
end
Throughput_OFDMnoCP(:,i_rep,:) = Throughput_OFDMnoCP_OneRealization;
Throughput_OFDMnoCP_DFT(:,i_rep,:) = Throughput_OFDMnoCP_DFT_OneRealization;
Throughput_FBMC(:,i_rep,:) = Throughput_FBMC_OneRealization;
Throughput_FBMC_DFT(:,i_rep,:) = Throughput_FBMC_DFT_OneRealization;
Throughput_OFDMnoCP_ML(:,i_rep,:) = Throughput_OFDMnoCP_ML_OneRealization;
Throughput_FBMC_DFT_ML(:,i_rep,:) = Throughput_FBMC_DFT_ML_OneRealization;
Throughput_FBMC_DFTnoCP_ML(:,i_rep,:) = Throughput_FBMC_DFTnoCP_ML_OneRealization;
disp(i_rep);
TimePassed = toc;
disp(['Realization ' int2str(i_rep) ' took ' int2str(TimePassed/60) 'minutes, total simulation time: ' int2str(TimePassed/60 * NrRepetitions) 'minutes' ]);
end
MaxCQI_Throughput_OFDMnoCP = max(Throughput_OFDMnoCP,[],3);
MaxCQI_Throughput_OFDMnoCP_DFT = max(Throughput_OFDMnoCP_DFT,[],3);
MaxCQI_Throughput_FBMC = max(Throughput_FBMC,[],3);
MaxCQI_Throughput_FBMC_DFT = max(Throughput_FBMC_DFT,[],3);
MaxCQI_Throughput_OFDMnoCP_ML = max(Throughput_OFDMnoCP_ML,[],3);
MaxCQI_Throughput_FBMC_DFT_ML = max(Throughput_FBMC_DFT_ML,[],3);
MaxCQI_Throughput_FBMC_DFTnoCP_ML = max(Throughput_FBMC_DFTnoCP_ML,[],3);
%% Plot all
figure(14);
plot(M_SNR_dB,mean(MaxCQI_Throughput_OFDMnoCP_ML,2)/1e6,'red'); hold on;
plot(M_SNR_dB,mean(MaxCQI_Throughput_FBMC_DFTnoCP_ML,2)/1e6,'blue'); hold on;
plot(M_SNR_dB,mean(MaxCQI_Throughput_FBMC_DFT_ML,2)/1e6,': blue'); hold on;
plot(M_SNR_dB,mean(MaxCQI_Throughput_FBMC,2)/1e6,'magenta'); hold on;
xlabel('Signal-to-Noise Ratio');
ylabel('Throughput [Mbit/s]');
legend({'OFDM (no CP)','Pruned DFT-s FBMC (L_C_P = 0)','Pruned DFT-s FBMC (L_C_P = 2)','FBMC-OQAM (MMSE)'},'Location','NorthWest');
SaveStuff = false;
if SaveStuff
Name = ['.\Results\MIMO_Throughput_ML_' PowerDelayProfile '_v' int2str(Velocity_kmh) '_' int2str(NrSubcarriers) '.mat'];
save(Name,...
'Throughput_OFDMnoCP',...
'Throughput_OFDMnoCP_DFT',...
'Throughput_FBMC',...
'Throughput_FBMC_DFT',...
'Throughput_OFDMnoCP_ML',...
'Throughput_FBMC_DFT_ML',...
'Throughput_FBMC_DFTnoCP_ML',...
'M_SNR_dB',...
'PowerDelayProfile',...
'Velocity_kmh',...
'NrSubcarriers');
end