A method of joint demodulating and demapping of a digital signal includes receiving a first sequence of the digital signal. The digital signal has a pattern in which a norm of an ideal transmitted sequence of symbols for zero is equal to a norm of an ideal transmitted sequence of symbols for one. The method also includes defining a portion of the first sequence as a third sequence, determining, for each element of a set of the third sequence, one of a real part of a value or an imaginary part of the value of the element, calculating a value for a combination of the determined one of the real part of the value or the imaginary part of the value for the each element of the set, and setting a bit equal to one in response to the value for the combination being less than zero.