📄 cdmasim.m
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% File : c18_cemasim.m
function [BER,ErrorRun] = c18_cdmasim(N,SF,EbNo,NumInterferers,MPathDelay,KfactordB)
rand('state',sum(100*clock)); randn('state',sum(100*clock));
NIterate = 1e3; % default block size
NumberOfIterations = ceil(N/NIterate);
ErrorState = 0; ErrorRun = []; RunCount = 1; % itialize
Kfactor = 10.^(KfactordB/10); % linear units
EbNolinear = 10.^(EbNo/10); % linear units
MPathComponents = length(MPathDelay);
% Determine amplitude in multipath components and store as vector.
% Determine the total power in all the scattered components.
% Determine LOS component.
MPathAmp(2:MPathComponents) = rand(MPathComponents-1,1);
ScatPower = MPathAmp*MPathAmp.';
MPathAmp(1) = sqrt(ScatPower*Kfactor); % LOS component.
% Determine which component has the largest energy (amplitude).
% Normalize vector so that strongest component has unit amplitude.
[fee MaxComponent] = max(MPathAmp); MPathAmp = MPathAmp/fee;
% Design IIR filter for fading signal.
FilterOrder = 4; Ripple = 0.5; BW = 0.01; % filter parameters
[b,a] = cheby1(FilterOrder,Ripple,BW); % 4th order filter
% Error checking.
if (NumInterferers>(SF-1))
error(['NumInterferers must not exceed ',int2str(SF-1),'.'])
end
if (length(MPathDelay)~=length(MPathAmp))
error('MPathDelay and MPathAmp must have the same length.')
end
if (min(MPathDelay)<0)
error('MPathDelay must not have negative components.')
end
fee = diff(MPathDelay);
if (min(fee)<=0)
error('MPathDelay must be monotonically increasing.')
end
clear fee
% End Error Checking.
% Generate spreading sequences. Teh spreading sequences for the interferers
% are shifted versions of the desired sequence with a shift offset.
DesiredSequence = MSequence(SF+1); % desired signal
offset = fix(length(DesiredSequence)/(NumInterferers+1));
M = length(DesiredSequence);
for k = 1:NumInterferers
InterfererSequence(k,:) = [DesiredSequence(M-(k-1)*offset:M) DesiredSequence(1:M-1-(k-1)*offset)];
end
% The simulation loop begins here.
zf = zeros(FilterOrder,MPathComponents);
for cnt = 1:NumberOfIterations
% Generate and spread symbols for desired and interfering users.
DesiredSymbols = sign(rand(1,NIterate)-0.5);
InterferingSymbols = sign(rand(NumInterferers,NIterate)-0.5);
DesiredChips = reshape(DesiredSequence.'*DesiredSymbols,1,M*NIterate);
for k = 1:NumInterferers
InterferingChips(k,:) = reshape(InterfererSequence(k,:).'*InterferingSymbols(k,:),1,M*NIterate);
end
% Generate noise
NoiseAmplitude = sqrt(SF/(2*EbNolinear));
MaxDelay = max(MPathDelay);
DesiredNoise = NoiseAmplitude*randn(1,M*NIterate+MaxDelay);
% Apply multipath.
MPathLinAmp = MPathAmp;
MPathComponents = length(MPathDelay);
DesiredMPathSignal = zeros(1,M*NIterate+MaxDelay);
if NumInterferers>0
InterferingMPathSignal = zeros(NumInterferers,M*NIterate+MaxDelay);
for k = 1:MPathComponents
index = 1+MPathDelay(k):M*NIterate+MPathDelay(k);
InterferingMPathSignal(:,index) = InterferingMPathSignal(:,index)+MPathLinAmp(k)*InterferingChips;
end
end
for k = 1:MPathComponents
if k==1
fading = ones(1,M*NIterate);
else
fading = randn(size(DesiredSymbols))+j*randn(size(DesiredSymbols));
[fading zf(:,k)] = filter(b,a,fading,zf(:,k));
fading = interp(fading,SF);
fading = abs(fading/sqrt(mean(fading.*conj(fading))));
end
if k==MaxComponent
fadesign = sign(fading);
end
faa(k,:) = MPathLinAmp(k)*fading;
index = 1+MPathDelay(k):M*NIterate+MPathDelay(k);
DesiredMPathSignal(index) = DesiredMPathSignal(index)+(MPathLinAmp(k)*fading).*DesiredChips;
end
% Add intererence and noise.
if NumInterferers>0
IncomingSignal = DesiredMPathSignal+sum(InterferingMPathSignal,1)+DesiredNoise;
else
IncomingSignal = DesiredMPathSignal+DesiredNoise;
end
% Receive and detect incoming signal.
index = 1+MPathDelay(MaxComponent):M*NIterate+MPathDelay(MaxComponent);
IncomingChips = reshape(fadesign.*IncomingSignal(index),M,NIterate);
DespreadSymbols = DesiredSequence*IncomingChips;
DetectedSymbols = sign(DespreadSymbols);
% Compute Bit Error Rate
ErrorVector = 0.5*abs(DetectedSymbols-DesiredSymbols);
ErrorsIterate(cnt) = sum(ErrorVector);
BERIterate(cnt) = ErrorsIterate(cnt)/NIterate;
for k = 1:NIterate
if (ErrorVector(k)==0) & (ErrorState==0)
RunCount = RunCount+1;
elseif (ErrorVector(k)==0) & (ErrorState==1)
ErrorRun = [ErrorRun RunCount];
RunCount = 1; ErrorState = 0;
elseif (ErrorVector(k)==1) & (ErrorState==0)
ErrorRun = [ErrorRun RunCount];
RunCount = 1; ErrorState = 1;
elseif (ErrorVector(k)==1) & (ErrorState==1)
RunCount = RunCount+1;
else
s1 = sprintf('ErrorVector(%d)=%d,ErrorState=%d! Unexpected Condition!');
error(s1);
end
end
end
Errors = sum(ErrorsIterate); BER = mean(BERIterate);
ErrorRun = [ErrorRun RunCount];
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