Abstract
In this study, approximate symbol error rate (SER) expressions for M-ary phase shift keying (M-PSK) modulation scheme over independent and identically distributed (i.i.d) slow-flat Rician and Rayleigh fading channels are derived. Simulation results show the superior impact of using the maximum ratio combining (MRC) space diversity technique on the overall performance. In particular, the communication reliability (i.e., capacity and coverage) will increase by increasing the diversity order (i.e., the number of the combiner’s branches), where less power is needed to achieve the same probability of error. Then, a comparison between the approximate and exact probability of symbol error is performed and the results are shown to be comparable (1–2 dB). Next, approximate SER expression is derived over i.i.d slow-flat Nakagami-m fading channels. In particular, space time transmit diversity (STTD) technique is used to enhance the reliability of the proposed model using two transmit antennas and one receive antenna. The simulation results show the effect of the Nakagami-m parameter, m, on the SER where the performance will improve by increasing the value of m where fading is less severe in this case. Furthermore, the performance of the SER is lower for higher values of SNR and is worse for high order PSK modulation schemes.
Highlights
The overall performance of any wireless communication system is severely degraded by the timevarying multi-path fading which make the analysis relatively difficult
The authors in [2] have derived the exact bit error rate (BER) for a binary phase shift keying (BPSK) modulation scheme in a synchronous cochannel interference (CCI) under Nakagami-m flat fading channel using both of equal gain combining (EGC) technique with characteristic function (CF) method and selection combining (SC) technique with Fourier series method
One can notice the superior effect of using maximum ratio combining (MRC) diversity technique on the overall performance
Summary
The overall performance of any wireless communication system is severely degraded by the timevarying multi-path fading which make the analysis relatively difficult. The authors in [2] have derived the exact bit error rate (BER) for a binary phase shift keying (BPSK) modulation scheme in a synchronous cochannel interference (CCI) under Nakagami-m flat fading channel using both of equal gain combining (EGC) technique with characteristic function (CF) method and selection combining (SC) technique with Fourier series method. The authors considered an independent fading gain and asynchronous timing as well as co-channel interference in the derivation to obtain the exact closed-form outage probability expression with both of equal and unequal interferer’s power Both of the optimum and suboptimum diversity combining were derived in [5] for differential and coherent signals with M-PSK modulation scheme over Rician fading channels plus the impulsive classA noise.
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