Basic QPSK Modulation
M = 4 (k=2)
Language C/C++
Performance calculation of SER (BER is little different), in AWGN channel.
The gaussian noise is created from the Box-Muller algotithm, easy to implement:
this algorithm start from 2 Uniform variable and obtain a gaussian distibution
(with the personalization of mean and standard deviation).
No channel coding is applied, so the code rate in my system is 1. I have supposed Es normalized to 1 to simplify calc.
(the channel rate is calculate from shannon theory)
The program generates a stream of 4096x4096 bit, converts them into 4-constellation symbol and then add awgn noise.
the baseband decoder is a maximum likelihood decoder, in a very simple form.
bit rate/symbol rate is not important, no CR and no SSR (we are in baseband)