example_mimo.m

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clear all;
close all;

% Parameters %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% The ones need to be changed in TLT-6206 project work %
% Antenna configuration at Node B (for the capacity analysis to work, keep nTx and nRx equal)
NumberOfAntennas_NodeB = 2;
Spacing_NodeB          = 0.5; % antenna spacing in wavelengths
% Antenna configuration at UE (for the capacity analysis to work, keep nTx and nRx equal)
NumberOfAntennas_UE = 2;
Spacing_UE          = 0.5; % antenna spacing in wavelengths
% 3GPP case to be simulated
Three_GPP_Case = 1; % Channel model, see Three_GPP_Cases.m
% Number of runs of the main loop (256, 512, 1024, ...) increases statistical % reliability but also the simulation time. Use at least 256.
NumberOfIterations = 256 ;

% The parameters from here you don't have to touch %
% Direction of connection
Connection = 'downlink'; % let's stay in DL Direction
% Chip rate
ChipRate_Hz = 3.84e6;
% Carrier frequency
CarrierFrequency_Hz = 2.15e9;
% Speed
Speed_kmh = 120;
CorrelationCoefficientType = 'complex'; % Complex field or Real power correlation coefficients
% NumberOfIterations of the vector of fading coefficients
FadingNumberOfIterations = 1024;
% Oversampling factor of the Doppler spectrum
FadingOversamplingFactor = 4;
% Number of chips dealt with during one iteration
NumberOfChipsPerIteration = 512; 
% Chip oversampling factor
ChipOversamplingFactor = 1;


% STANDARD DISCLAIMER
%
% CSys is furnishing this item "as is". CSys does not provide any
% warranty of the item whatsoever, whether express, implied, or
% statutory, including, but not limited to, any warranty of
% merchantability or fitness for a particular purpose or any
% warranty that the contents of the item will be error-free.
%
% In no respect shall CSys incur any liability for any damages,
% including, but limited to, direct, indirect, special, or
% consequential damages arising out of, resulting from, or any wayconnected to the use of the item, whether or not based upon
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% sustained by persons or property or otherwise; and whether or not
% loss was sustained from, or arose out of, the results of, the
% item, or any services that may be provided by CSys.
%
% (c) Laurent Schumacher, AAU-TKN/IES/KOM/CPK/CSys - February 2002

% Initialisation %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Parameters' conversion

Speed_ms          = Speed_kmh*3.6;
Wavelength_m      = 3e8/CarrierFrequency_Hz;
Max_Doppler_shift = Speed_ms/Wavelength_m;

% Parameters assessment

FadingSamplingTime = Wavelength_m / (2 * FadingOversamplingFactor * Speed_ms);
FadingLength       = FadingNumberOfIterations * FadingSamplingTime * Speed_ms;
if (FadingLength < (40*Wavelength_m))
    disp('Warning! Length of fading vector smaller than 40 wavelengths. Risk of correlation');
end;

% Derivation of the PDP and the correlation matrices
[PDP_linear, RTx, RRx, FadingType, Rice_matrix, DirectionOfMovement_UE_rad, AoA_UE_rad, sigma_UE_rad] = ...
    Three_GPP_Cases(Connection, Three_GPP_Case, CarrierFrequency_Hz,...
                    NumberOfAntennas_NodeB, Spacing_NodeB, ...
                    NumberOfAntennas_UE, Spacing_UE);
% Initialisation of size variables
NumberOfTxAntennas     = size(RTx, 2);
NumberOfRxAntennas     = size(RRx, 2);
NumberOfPaths          = size(PDP_linear,2);
% Computation of the matrix of fading coefficients
FadingMatrix = init_fading(FadingNumberOfIterations, FadingOversamplingFactor, ...
                           NumberOfTxAntennas, NumberOfRxAntennas, ...
			               NumberOfPaths, FadingType, sigma_UE_rad, ...
                           DirectionOfMovement_UE_rad-AoA_UE_rad);
% Computation of the correlation matrices, one for each tap
[C, R] = init_MIMO_channel(RTx, RRx, CorrelationCoefficientType);
% Spatial correlation of the fading matrix
FadingMatrix = C * FadingMatrix;
% Initalisation of normalisation diagonal matrix
pdp_coef = [];
for ii = 1:size(PDP_linear,2)
    pdp_coef = [pdp_coef, sqrt(PDP_linear(1,ii)).*ones(1,size(FadingMatrix,1)/size(PDP_linear,2))];
end;
% Normalisation of the correlated fading processes
FadingMatrix = diag(pdp_coef)*FadingMatrix;
% Addition of the Rice component on the first path (3GPP case 2)
if (Three_GPP_Case == 2)
    time_vector = exp((j*pi*cos(DirectionOfMovement_UE_rad(1)-AoA_UE_rad(1))/FadingOversamplingFactor) ...
        .*(0:FadingNumberOfIterations-1));
    Rice_vector  = reshape(Rice_matrix(1,:,:), NumberOfTxAntennas*NumberOfRxAntennas, 1);
    FadingMatrix = FadingMatrix + ...
        [Rice_vector; zeros((NumberOfPaths-1)*NumberOfTxAntennas*NumberOfRxAntennas,1)]*time_vector;
    % Sum over all paths equal to 1
    FadingMatrix = FadingMatrix./sqrt((sum(sum(abs(FadingMatrix).^2))...
        /NumberOfTxAntennas/NumberOfRxAntennas/size(FadingMatrix,2)));
    R(1:NumberOfTxAntennas*NumberOfRxAntennas,1:NumberOfTxAntennas*NumberOfRxAntennas) = ...
        ((Rice_vector*Rice_vector') + R(1:NumberOfTxAntennas*NumberOfRxAntennas,1:NumberOfTxAntennas*NumberOfRxAntennas))...
        ./(10^.3+1);
end;
% Set-up of the iteration process
NumberOfTransmittedSamples = NumberOfChipsPerIteration;
NumberOfReceivedSamples    = NumberOfTransmittedSamples + ...
                             floor(PDP_linear(2,NumberOfPaths)*ChipRate_Hz*ChipOversamplingFactor) ...
                             +1;
                         
% Main Loop %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

RunningTimeInstant = 0;
% Random choice of the sample to be tracked for the valdiation process
TrackedSample = 1 + floor((NumberOfChipsPerIteration-1)*rand(1));
for ii = 1:NumberOfIterations;
    time = clock;
    disp([num2str(time(4)),':',num2str(time(5)),'.',num2str(floor(time(6))),...
            ' - Iteration ',num2str(ii),'/',num2str(NumberOfIterations)]);
    [Channel, CorrelatedFading] = MIMO_channel(FadingMatrix, FadingOversamplingFactor, ...
        Speed_ms, CarrierFrequency_Hz, RunningTimeInstant, ChipOversamplingFactor, ...
        ChipRate_Hz, NumberOfChipsPerIteration, PDP_linear, NumberOfTxAntennas, ...
        NumberOfTransmittedSamples, NumberOfRxAntennas, NumberOfReceivedSamples);
    H(:,ii)            = CorrelatedFading(:,TrackedSample);
    RunningTimeInstant = RunningTimeInstant + (NumberOfChipsPerIteration/ChipRate_Hz);
end;
temp_H = H;
clear H;
for ii = 1:NumberOfIterations
    for jj = 1:NumberOfPaths
        for kk = 1:NumberOfRxAntennas
            for ll = 1:NumberOfTxAntennas
                 H(ll,kk,jj,ii) = temp_H(((jj-1)*NumberOfTxAntennas+(ll-1))*NumberOfRxAntennas+kk, ii);
            end;
        end;
    end;
end;
save H;

% Validation of MIMO channel %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

plot_MIMO;