Ergodic Capacity and Symbol Error Rate Analysis of a Wireless System with α-μ Composite Fading Channel

Abstract A composite α-µ/Lognormal fading channel is proposed with several channel performance criteria. This model considers the most effective occurrences in a fading channel, mainly non-linearity, multi-cluster nature of propagation medium, and shadowing effects. The new generation of communication systems is moving towards the use of millimetre waves (mmW). In this type of propagation, large-scale effects of fading channel on the received signal are significant, so in the proposed composite model, the lognormal distribution is considered to model large-scale effects of fading, which is the most accurate distribution to model shadowing. The Gaussian-Hermite quadrature sum is used to approximate the probability distribution function (PDF) of the proposed model. After calculating the statistics, the symbol error rate (SER) and ergodic capacity are computed. The Mellin transform technique is used to calculate the SER expression of different modulation schemes; then, ergodic capacity is computed for a diverse frequency spectrum. Finally, the Monte Carlo method is used to evaluate the analyses.

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MGF-based Analysis of Maximum Ratio Combining Receiver over Fisher-Snedecor Composite Fading Channel

International Journal of Innovative Technology and Exploring Engineering - Special Issue ◽

10.35940/ijitee.i1001.0789s19 ◽

2019 ◽

Vol 8 (9S) ◽

pp. 1-9

Keyword(s):

Closed Form ◽

Error Rate ◽

Fading Channel ◽

Symbol Error Rate ◽

Closed Form Expression ◽

Small Scale ◽

Fixed Rate ◽

Maximum Ratio Combining ◽

Composite Fading ◽

Composite Fading Channel

Fisher Snedecor composite fading model is the combination of Nakagami-m and inverse Nakagami-m distribution. The Nakagami-m is used to characterize the small scale fading, whereas shadowing is modeled by inverse Nakagami-m distribution. In this paper, the closed-form expression for moment generating function (MGF) of instantaneous signal to noise ratio (SNR) over independent identically distributed (i.i.d) Fisher-Snedecor composite fading channel using maximum ratio combining (MRC) diversity technique is derived. By using newly derived MGF expression, we derive the closed-form expressions of average bit error rate (ABER) or average symbol error rate (ASER) for different binary and multilevel modulation schemes. The expressions for average channel capacity (ACC) under two adaptive transmission protocols like optimum rate adaption (ORA) and channel inversion with fixed rate (CIFR) are also derived using proposed MGF. Further, the numerical results of newly derived expression are presented and compared with the results of Rayleigh and Nakagami-m distribution which is the special case of Fisher Snedecor composite fading model.

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Error-rate analysis of the OFDM for correlated Nakagami-m fading channel by using maximal-ratio combining diversity

International Journal of Microwave and Wireless Technologies ◽

10.1017/s1759078711000742 ◽

2011 ◽

Vol 3 (6) ◽

pp. 717-726 ◽

Cited By ~ 2

Author(s):

Vivek K. Dwivedi ◽

Ghanshyam Singh

Keyword(s):

Error Rate ◽

Fading Channel ◽

Communication Systems ◽

Orthogonal Frequency Division Multiplexing ◽

Mathematical Expression ◽

Moment Generating Function ◽

Symbol Error Rate ◽

Maximal Ratio Combining ◽

Rate Analysis ◽

Shift Keying

In this paper, we have analyzed the performance of correlated Nakagami-m fading channel by using the maximal-ratio-combing diversity at the receiver. A closed-form mathematical expression is derived for the average bit error rate (BER) for binary phase-shift keying (BPSK) and average symbol-error-rate (SER) for M-Quardrature amplitude modulation (M-QAM) scheme in terms of the higher transcendental function such as Appell hypergeometric function by using the well-known moment generating function (MGF)-based approach with arbitrary fading index for the orthogonal frequency division multiplexing (OFDM) communication systems. Moreover, we also derived an expression for the outage probability and the proposed numerical results are compared with the reported literature.

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