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  • CCS

    Three different detectors for recovering the transmitted data symbols and
    evaluate their performance for Rayleigh fading and additive white Gaussian noise.

     

    Matlab coding

    Implement the three types of detectors.

    Nt = 2;                                                                             % No. of transmit antennas
    Nr = 2;                                                                             % No. of receive antennas
    S = [1 1 -1 -1; 1 -1 1 -1];                                                  % Reference codebook
    H = (randn(Nr,Nt) + 1i*randn(Nr,Nt))/sqrt(2); % Channel coefficients
    s = 2*randi([0 1],Nt,1) - 1;                                               % Binary transmitted symbols
    No = 0.1;                                                                         % Noise Noiance
    noise = sqrt(No/2)*(randn(Nr,1) + 1i*randn(Nr,1));         % AWGN noise
    y = H*s + noise;                                                              % Inputs to the detectors
    disp(['The transmitted symbols are: ',num2str(s')])

    % Maximum Likelihood Detector:
    mu = zeros(1,4);
    for i = 1:4
      mu(i) = sum(abs(y - H*S(:,i)).^2);                           % Euclidean distance metric
    end
    [Min idx] = min(mu);
    s_h = S(:,idx);
    disp(['The detected symbols using the ML method are: ',num2str(s_h')])

    % MMSE Detector:
    w1 = (H*H' + No*eye(2))^(-1) * H(:,1); % Optimum weight vector 1
    w2 = (H*H' + No*eye(2))^(-1) * H(:,2); % Optimum weight vector 2
    W = [w1 w2];
    s_h = W'*y;
    for i = 1:Nt
      if s_h(i) >= 0
        s_h(i) = 1;
      else
        s_h(i) = -1;
      end
    end
    disp(['The detected symbols using the MMSE method are: ',num2str(s_h')])

    % Inverse Channel Detector:
    s_h = Hy;
    for i = 1:Nt
      if s_h(i) >= 0
        s_h(i) = 1;
      else
        s_h(i) = -1;
      end
    end
    disp(['The detected symbols using the ICD method are: ',num2str(s_h')])

    Output,

    >> Round 1
    The transmitted symbols are: 1 1
    The detected symbols using the ML method are: 1 1
    The detected symbols using the MMSE method are: 1 1
    The detected symbols using the ICD method are: 1 1
    >> Round 2
    The transmitted symbols are: 1 -1
    The detected symbols using the ML method are: 1 -1
    The detected symbols using the MMSE method are: 1 -1
    The detected symbols using the ICD method are: 1 -1
    >> Round 3
    The transmitted symbols are: -1 1
    The detected symbols using the ML method are: -1 1
    The detected symbols using the MMSE method are: -1 1
    The detected symbols using the ICD method are: -1 1

    Reference,

      1. <<Contemporary Communication System using MATLAB>> - John G. Proakis

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  • 原文地址:https://www.cnblogs.com/zzyzz/p/13580204.html
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