Statistical model for the transitional error probability of shadowing mobile channel

In this paper, we present an analytical model aimed to evaluate effects of very slow Nakagami/Ricean fading, shadowing and additive Gaussian noise on the mutual interdependence between successive errors in NCMFSK, MCPSK and MCQAM systems. We present the closed form solutions for transition probabilities and show that strong amplitude correlation within several successive signaling intervals, due to fast signal fluctuations, causes mutually dependent error occurrences in these intervals. We demonstrate how the transition probabilities are sensitive to both fading and shadowing severity. Apparently, this problem is even more significant in presence of deep fluctuation of shadowing. This finally points to importance of analyzing such error dependency in presence of a very slow fading, which actually represents the scenarios where correlation coefficient of amplitude fluctuations on successive signaling intervals is equal to 1. The results obtained in this paper can be useful in the design of burst error control in fading/shadowing channel.