detect.m

function bhat = detect(r)
% bhat = detect(r)
%
% Computes the received bits given a received sequence of (phase-corrected)
% QPSK symbols. Gray coding of the individual bits is assumed. Hence, the
% two bits for each symbol can be detected from the real and imaginary
% parts, respectively. The first of the two bits below is output first in
% the bhat-sequence.
%
% Assumed mapping:
%
%  10 x   |   x 00
%         |
%  -------+-------
%         |
%  11 x   |   x 01
%
% Input:
%   r  = sequence of complex-valued QPSK symbols
%
% Output:
%   bhat  = bits {0,1} corresponding to the QPSK symbols
bhat = [real(r)<0; imag(r)<0];
bhat = bhat(:)';