MGF‐based analysis of κ‐μ/gamma composite fading model for indoor off body communication

Abstract

This paper presents the moment generating function (MGF)–based analysis of κ‐μ/gamma composite fading model, which is suitable for the indoor off‐body communication channel. In this paper, first of all, we derive an analytical expression for MGF of instantaneous signal‐to‐noise ratio. By using the derived MGF, the expressions of average symbol error rate (ASER)/average bit error rate (ABER) for binary and M‐ary modulation scheme are derived. Using the MGF approach, we also derive the expression of channel capacity for optimum rate adaption and channel inversion with fixed rate policy. The derived expressions for ABER/ASER and channel capacity are presented in the infinite series form. We further present the numerical results of error rate and channel capacity for different values of κ, μ, α, and β parameters. The result of ABER and channel capacity shows good agreement with the previously reported results as special cases that verify the derived expressions.

Generic MGF‐based tight approximation for the error rate analysis

“…It is observed that either increase in k and/or L lead to a decrease in SER. Further, it shows perfect agreement with Shankar and Kansal 21 irrespective of the fading parameters and /or the number of diversity branches. Thus, it proves the accuracy and validity of the proposed generic approach.…”

“… Generic MGF‐based tight approximation for the error rate of BPSK, BFSK, M‐PAM, M‐QAM, and MAM modulation schemes are presented without evaluating any integration. Expression of the error rate of different modulation schemes over k μ ‐gamma is presented following generic MGF‐based tight approximation. The result with the proposed approximation matches with those available in Shankar and Kansal 21 accurately. Generic MGF‐based tight approximation for the error rate of BPSK and M‐QAM modulation schemes over GK fading channel are presented, and the results are compared with Dwivedi and Singh 6 . Also, the error rate of MPAM, M‐PSK, and MAM are presented that are not presented in Dwivedi and Singh 6 due to the computational complexity of integration involved. …”

“…It is observed that an increase in M leads to an increase in SER whereas an increase in either of the fading parameters, thereby decrease in the severity of fading, causes a decrease in SER. It has a perfect agreement with Shankar and Kansal 21 . The most important conclusion drawn from Figure 1 is that the proposed generic MGF‐based tight approximation has a perfect agreement with Shankar and Kansal, 21 irrespective of the fading parameters and/or modulation schemes.…”

“…In this section, BER/SER of different modulation schemes over kμ ‐gamma and GK fading channels are analyzed numerically using the proposed generic MGF‐based tight approximation. These analytical results are compared with previous studies 6,21 showing perfect agreement irrespective of the fading parameters and/or modulation schemes. Further, in this section, SER of MAM, MPAM, and MPSK over GK fading channel are analyzed numerically using the proposed generic MGF‐based tight approximation which is not reported in the literature.…”

“…The SER of MQAM scheme showing a comparison of the proposed approach with Yang et al 26 Table 2 represents the number of terms in Equations ( 28), (29), and (30), respectively, required for error less than 10 À6 for the given fading parameters. 21 The most important conclusion drawn from Figure 1 is that the proposed generic MGF-based tight approximation has a perfect agreement with Shankar and Kansal, 21 irrespective of the fading parameters and/or modulation schemes. This proves the accuracy of the proposed generic approach in addition to validation.…”