The Performance Analysis And Error Reaserch For Channel Fading Model Based On Spherically Invariant Random Process

With the development of wireless channel fading models,it is challenging to conduct systematic mathematical analysis on a unified classification.Spherically Invariant Random Process(SIRP)provides a good method to solve this problem.SIRP is the generalized Gaussian process and it inherits most of the properties of Gaussian process.The existed theories have shown that most of the fading models can be classified into SIRP.This paper focuses on the wireless channel fading models based on the SIRP.The main work includes the following aspects:1)We show how to obtain the parameters of SIRP by using Mellin transform and Fox H-function.In addition,we pay much attention on the small scale fading.By considering the generalized gamma distribution,we choose Nakagami-m and Weibull fading channels as research objects,and we analyze the correlation property of characteristic variable V in two different NLOS channels;2)According to the unified mathematical expression of wireless system performance,we choose binary bit error rate and outage probability as the main indicators for reliability and obtain the generalized formula for these two indicators in NLOS and LOS scenarios based on spherically invariant fading.Furthermore,we analyze the reliability under the situations of Nakagami-m and Weibull fading channels.Finally,we discuss one kind of Generalized Moment Problem(GMP)under the condition of SIRP and give the boundary of the system performance in three cases;3)According to practical measurement data in spherically invariant fading channel,we analyze the selection of channel model X within designated error range.By using Kullback-Leibler(K-L)divergence and its approximate estimation algorithm,we assess two small scale channel models that contain errors.4)We propose two concepts in spherically invariant random fading model:probability density function ratio η and relative error assessment criteria of Gmax(d),denoting by r.Through simulation technique,we make quantative analysis within designated accuracy of system error range generating by inapproporiate model selection.Meanwhile,we compare the difference in system performance between approximate and theory model under different signal-to-noise ratio(snr)and K-L divergence order.And we analyze the reason for this phenomenon.5)On the basis of small scale fading,we simply give the influences on SIRP channel caused by large scale fading.Besides,we propose the unified expressions of large scale fading based on SIRP channel and several hybrid fading models caused by shadow lognormal fading.