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Qestion about ofdm

Discussion in 'Microcontrollers, Programming and IoT' started by engineer61, Oct 5, 2012.

  1. engineer61

    engineer61

    1
    0
    Oct 5, 2012
    this is program coded ofdm pam raleigh fading for M=4 i try change the M from M=4 to M=2 or M=8 the program don't work i need any person help me in change the M and help me in run the program

    clear all;
    clc;
    nFFT=64;
    nCPLen = nFFT/4;
    nSamples = nFFT+nCPLen;
    nDSC = 52; % number of data subcarriers
    nBitPerSym = 52; % number of bits per OFDM symbol (same as the number of subcarriers for BPSK)
    nSym = 10^4; % number of symbols
    EbN0dB = 0:40; % bit to noise ratio
    EsN0dB = EbN0dB + 10*log10(nDSC/nFFT) + 10*log10(nFFT/nSamples); % converting to symbol to noise ratio
    N = 10^6; % number of bits or symbols
    M=4; % Constellation order
    % multipath channel
    nTap = 10;
    ht = 1/sqrt(2)*1/sqrt(nTap)*(randn(nSym,nTap) + 1i*randn(nSym,nTap));
    % computing and storing the frequency response of the channel, for use at recevier
    hF = fftshift(fft(ht,nFFT,2));
    % Transmitter
    % conv coder
    ipBit_bin = randi([0 1],1,nBitPerSym*nSym);
    trellis = poly2trellis(7,[171 133]);
    coded = convenc(ipBit_bin,trellis);
    ipBit = bi2de(reshape(coded,2,[])');
    % Modulator
    ipMod = pammod(ipBit,M);
    ipMod = reshape(ipMod,nBitPerSym,nSym).'; % grouping into multiple symbolsa
    % Assigning modulated symbols to subcarriers from [-26 to -1, +1 to +26]
    xF = [zeros(nSym,(nFFT-nDSC)/2) ipMod:),1:nBitPerSym/2) zeros(nSym,1) ipMod:),nBitPerSym/2+1:nBitPerSym) zeros(nSym,(nFFT-nDSC)/2-1)] ;
    % Taking FFT, the term (nFFT/sqrt(nDSC)) is for normalizing the power of transmit symbol to 1
    xt = (nFFT/sqrt(nDSC))*ifft(fftshift(xF.')).';
    % Appending cylic prefix
    xtcp = [xt:),(end-nCPLen+1):end) xt];
    % convolution of each symbol with the random channel
    xht = zeros(nSym,nTap+nSamples-1);
    for jj = 1:nSym
    xht(jj,:) = conv(ht(jj,:),xtcp(jj,:));
    end
    % Concatenating multiple symbols to form a long vector
    xt = reshape(xht.',1,nSym*(nTap+nSamples-1));
    % Gaussian noise of unit variance, 0 mean
    nt = 1/sqrt(2)*randn(1,nSym*(nTap+nSamples-1)) + 1i*randn(1,nSym*(nTap+nSamples-1));
    nErr = zeros(size(EbN0dB));
    %%
    for ii = 1:length(EbN0dB)
    % Adding noise, the term sqrt(80/64) is to account for the wasted energy due to cyclic prefix
    yt = sqrt(nSamples/nFFT)*xt + 10^(-EsN0dB(ii)/20)*nt;
    % Receiver
    yt = reshape(yt.',nSamples+nTap-1,nSym).'; % formatting the received vector into symbols
    yt = yt:),(nCPLen+1):nSamples); % removing cyclic prefix
    % converting to frequency domain
    yF = (sqrt(nDSC)/nFFT)*fftshift(fft(yt.')).';
    % equalization by the known channel frequency response
    yF = yF./hF;
    % extracting the required data subcarriers
    yMod = yF:),[((nFFT-nDSC)/2+1):nFFT/2 (nFFT/2+2):nFFT/2+1+nBitPerSym/2]);
    % PAM demodulation
    ipBitHat=pamdemod(yMod,M);
    % converting modulated values into bits
    ipBitHat = reshape(ipBitHat.',nBitPerSym*nSym,1);
    ipBitHat_bin = reshape(de2bi(ipBitHat)',[],1);
    tblen = 12;
    ipBitHat_dec = vitdec(ipBitHat_bin,trellis,tblen,'cont','hard',[],[],[])';
    % couting the number of errors
    nErr(ii) = size(find(ipBitHat_dec(13:end) - ipBit_bin(1:end-12)),2);
    end
    %%
    simBer = nErr/(nSym*nBitPerSym);
    EbN0Lin = 10.^(EbN0dB/10);
    theoryBer = 0.5.*(1-sqrt(EbN0Lin./(EbN0Lin+1)));
    close all; figure;
    semilogy(EbN0dB,theoryBer,'bs-','LineWidth',2);
    hold on;
    semilogy(EbN0dB,simBer,'mx-','LineWidth',2);
    axis([0 35 10^-5 1]);
    grid on;
    legend('Rayleigh-Theory', 'Rayleigh-Simulation');
    xlabel('Eb/No, dB');
    ylabel('Bit Error Rate');
    title('BER for PAM using OFDM in a 10-tap Rayleigh channel');
     
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