Channel capacity and average error rates in generalised-K fading channels

A Novel MGF Based Analysis of Channel Capacity of Generalized-K Fading With Maximal-Ratio Combining Diversity

“…The main contribution of this paper consists in the evaluation the MGF function and the derived MGF function is used to evaluate a closed-form expression for the channel capacity under optimal rate adaptation (C ora ) and channel inversion with fixed rate (C cif r ). The Closed form expression for C ora is in this paper is valid for integer and non integer value of the shaping parameter k and m. The MGF based method proposed in this paper, for calculation of the channel capacity is simpler than PDF based approach as reported in [21,22] as well as MGF based approach as discussed in [26]. The derived results are obtained in the terms of well known Meijer G function, which can be easily, implemented using Maple or Mathematica software.…”

“…These definitions depend on the different employed power and rate adaptation policies and the existence, or not, an outage probability [1][2][3][4][5]. Earlier, the channel capacity has been studied by various researchers for several fading environment [14][15][16][17][18][19][20][21][22][23][24][25][26]. Goldsmith and Varaiya [14], have examined the channel capacity of the Rayleigh fading channels under different adaptive transmission techniques.…”

“…Ref. [21,22] is main source in which author's emphasis on the channel capacity over Generalized-K fading. In [21], the channel capacity under different diversity schemes and different rate adaptation and transmit power schemes for k-fading channel has been derived but it has limitation that the channel capacity has been analyzed only for the special value of shaping parameter (i.e., m = 2).…”

“…First method involves the Lommel function and second method shows that, when the shadowing parameter, k, is an integer-plus-one and half, the channel capacity can be expressed in term of the more familiar sine and cosine integrals and these two methods having complex expressions for it. In [22], the channel capacity under different diversity schemes and different rate adaptation and transmit power schemes for k-fading channel has been derived. For calculation of the C ora in [22], Efthymoglou et al have obtained the approximate value by calculating the limit at (a → 1) and formula for C ora is valid for non-integer value of the shaping parameters (k) and (m).…”

“…In [22], the channel capacity under different diversity schemes and different rate adaptation and transmit power schemes for k-fading channel has been derived. For calculation of the C ora in [22], Efthymoglou et al have obtained the approximate value by calculating the limit at (a → 1) and formula for C ora is valid for non-integer value of the shaping parameters (k) and (m). If k and m are integers then formula for C ora fails.…”