This section presents the analytical and simulated results of the considered AF based HSTRN scheme using M-PSK modulation over generalized fading channels.
1 shows the average SER versus SNR of the considered HSTRN, for infrequent light shadowing (satellite-relay LMS channel), with multiple values of CCI (-5 dB, 0 dB and 5dB) using different M-PSK modulation schemes: BPSK, QPSK and 8-PSK.
Table 4 shows comparative Performance of Average Data rate in Bits per cycle over given SNR range of 0 to 30 dB using Sample Mean Estimator (SME) , ,  and Population Mean Estimator (PME) using M-PSK Modulation for the phase error variation of 30[degrees],60[degrees] and 90[degrees] from mean.
of Array Sensors 10 2 Iterations 1000 3 Data Bits Sequence 1200 Bits Randomly selected 4 Modulation Schemes M-PSK -2,4,8 and 16 5 Channel Type Rayleigh Flat Fading 6 Channel Noise AWGN, N(0,1) 7 SNR 0-30dB 8 Phase Error Distribution Gaussian with Mean = [pi] radians Sigma 0.
By using (3), BER for M-PSK can be calculated after [P.
By substituting (5) in (3) we get unified approximation for BER of coherent M-PSK modulation for random values of M which is represented as follows:
This formula could be regarded as approximation for M-PSK signals.
Nevertheless, the presented program allows for drawing up of analysis of systems' performances based on M-PSK and M-QAM manipulations.
Since amplitude and phase are constant in M-PSK
, this expression can be expanded as