Simulation of (7,4) Hamming Code

[Priya1987]

Hello

I need to compare the(7,4) hamming coded bit error probability with the uncoded bit error probabity and a Q function.

The Matlab code which i have compare the theoretial uncoded ber with hamming (7,4) code

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clear
N = 10^6 ;% number of bits

Eb_N0_dB = [0:1:10]; % multiple Eb/N0 values
Ec_N0_dB = Eb_N0_dB - 10*log10(7/4);

h = [ 1 0 1 ; 1 1 1; 1 1 0; 0 1 1];
ht = [h ;eye(3)];
g = [eye(4) h];
synRef = [ 5 7 6 3 ];
bitIdx = [ 7 7 4 7 1 3 2].';

for yy = 1:length(Eb_N0_dB)

% Transmitter
ip = rand(1,N)>0.5; % generating 0,1 with equal probability

% Hamming coding (7,4)
ipM = reshape(ip,4,N/4).';
ipC = mod(ipM*g,2);
cip = reshape(ipC.',1,N/4*7);

% Modulation
s = 2*cip-1; % BPSK modulation 0 -> -1; 1 -> 0

% Channel - AWGN
n = 1/sqrt(2)*[randn(size(cip)) + j*randn(size(cip))]; % white gaussian noise, 0dB variance

% Noise addition
y = s + 10^(-Ec_N0_dB(yy)/20)*n; % additive white gaussian noise

% Receiver
cipHard = real>0; % hard decision

% Hamming decoder
cipHardM = reshape(cipHard,7,N/4).';
syndrome = mod(cipHardM*ht,2); % find the syndrome
syndromeDec = sum(syndrome.*kron(ones(N/4,1),[4 2 1]),2); % converting the three bit syndrom to decimal
syndromeDec(find(syndromeDec==0)) = 1; % to prevent simulation crash, assigning no error bits to parity
bitCorrIdx = bitIdx(syndromeDec); % find the bits to correct
bitCorrIdx = bitCorrIdx + [0:N/4-1].'*7; % finding the index in the array
cipHard(bitCorrIdx) = ~cipHard(bitCorrIdx); % correcting bits
idx = kron(ones(1,N/4),[1:4]) + kron([0:N/4-1]*7,ones(1,4)); % index of data bits
ipHat = cipHard(idx); % selecting data bits

% counting the errors
nErr(yy) = size(find([ip- ipHat]),2);

end


theoryBer = 0.5*erfc(sqrt(10.^(Eb_N0_dB/10))); % theoretical ber uncoded AWGN
simBer = nErr/N;

close all
figure
semilogy(Eb_N0_dB,theoryBer,'bd-','LineWidth',2);
hold on
semilogy(Eb_N0_dB,simBer,'ms-','LineWidth',2);
axis([0 10 10^-5 0.5])
grid on
legend('theory - uncoded', 'simulation - Hamming 7,4 (hard)');
xlabel('Eb/No, dB');
ylabel('Bit Error Rate');
title('BER for BPSK in AWGN with Hamming (7,4) code');

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can anyone help me with the concept of plotting the coded, uncoded and Q together.

Please i need help