An M-QAM Signal Modulation Recognition Algorithm in AWGN Channel

Algorithm 1

Logarithmic classifier of higher order QAM modulation signals.

	Input: generate digital M-QAM modulation signals;
	, and ,
	M = {2^n}, n = 2, 3, 4, 5, 6, 7, 8, 9, 10
	; si row of data after modulated by M-QAM signal
	Output: ; output boundary with indexi
	Step 1: ; corrupted by Gaussian random noise
	Calculate cumulants C11, C22, C33, and C44
	Step 2: ; ;
	; ;
	Step 3: If ; 4-QAM
	indexi = 1;
	Step 4: Else If ;
	where ; , ,
	indexi = ;
	Step 5: Return ;