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    function bhat = detect(Ich, Qch, chGain)
% 16-QAM detector
%
% Input:
%   I-channel & Q-channel data
%
% Output:
%   bhat  = bits {0,1} corresponding to the QPSK symbols
% Gray mapping
% 0010 0110 1110 1010
% 0011 0111 1111 1011
% 0001 0101 1101 1001
% 0000 0100 1100 1000
M = 4; %  4 bits per symbol

len = M*length(Ich); 
bhat  = zeros(1, len); 

k = 1;
for i = 1:M:len
% I-channel
    if Ich(k) > 0
        bhat(i) = 1;        
        if Ich(k) <=2*chGain
            %bhat(i) = 1;
            bhat(i+1) = 1;
        end
    else
        if Ich(k)>-2*chGain
            %bhat(i) = 0 
            bhat(i+1) = 1;
        end
    end
% Q-channel
    if Qch(k) > 0
        bhat(i+2) = 1;        
        if Qch(k) <=2*chGain
        %    bhat(i+2) = 1;
            bhat(i+3) = 1;
        end
    else
        if Qch(k)>-2*chGain
            %bhat(i+2) = 0 
            bhat(i+3) = 1;
        end
    end
    k = k + 1; % ouuput counter
end % for i