Nakagami Fading Parameter Research Articles

A unified capacity analysis for wireless systems with joint multiuser scheduling and antenna diversity in Nakagami fading channels

In this paper, we present a cross-layer analytical framework to jointly investigate antenna diversity and multiuser scheduling under the generalized Nakagami fading channels. We derive a unified capacity formula for the multiuser scheduling system with different multiple-input multiple-output antenna schemes, including: 1) selective transmission/selective combining (ST/SC); 2) maximum ratio transmission/maximum ratio combining (MRT/MRC); 3) ST/MRC; and 4) space-time block codes (STBC). Our analytical results lead to the following four observations regarding the interplay of multiuser scheduling and antenna diversity. First, the higher the Nakagami fading parameter, the lower the multiuser diversity gain for all the considered antenna schemes. Second, from the standpoint of multiuser scheduling, the multiple antennas with the ST/SC method can be viewed as virtual users to amplify multiuser diversity order. Third, the boosted array gain of the MRT/MRC scheme can compensate the detrimental impact of the reduced amount of fading gain on multiuser scheduling, thereby resulting in greater capacity than the ST/SC method. Last, employing the STBC scheme together with multiuser diversity may cause capacity loss due to the reduced amount of fading gain, but without the supplement of array gain.

Another Look at the Performance of MRC Schemes in Nakagami-<tex>$m$</tex>Fading Channels With Arbitrary Parameters

In this letter, we take a close look at the performance of maximal ratio combining (MRC) schemes operating in a flat-Nakagami-m fading environment with arbitrary fading parameters. We derive an expression for the probability density function (pdf) of the output signal-to-noise ratio (SNR) by expressing the moment generating function of the output SNR in the form of multiple Barnes-type contour integrals. By evaluating the inverse transform and converting the multiple contour integrals into infinite series, we are able to derive an expression for the pdf of the output SNR when the Nakagami fading parameters along the diversity branches take on real and arbitrary values. Consequently, the average bit-error rate can now be expressed in terms of Lauricella's multivariate hypergeometric function, which can be easily evaluated numerically. Special cases of the main results reduce to known results in the literature. The results, which apply to independent as well as correlated diversity branches, will be useful for predicting the system performances when the Nakagami fading parameters are real and arbitrary.

Cochannel interference computation for arbitrary Nakagami fading

A characteristic function method is used to calculate the probability that the signal-to-interference ratio (SIR) drops below some predefined threshold (probability of outage). The mobile unit receives a desired signal which has undergone Nakagami (1960) fading and multiple, cochannel, and independent Nakagami interferers. The development is based on a technique due to Bealieu (1990). The advantages of the method are twofold. First, it places no integral restriction upon the Nakagami fading parameter. Second, it avoids the evaluation of higher order derivatives (residues).

Average error rate for coherent MPSK signals inNakagami fading channels

The error rate performance of coherent M-ary phase shift keyed signals in slow nonselective Nakagami fading and additive white Gaussian noise channel is analysed. For real values of the Nakagami fading parameter m, a simple formula is presented for the symbol error rate that can be easily evaluated via numerical integration. A closed-form expression is derived for integer values of m. The effect of N-order MRC diversity reception is also considered.