ON THE PHASE CROSSING STATISTICS AND RANDOM FM NOISE IN GENERALIZED RICE FADING CHANNELS

Marko D. Petković – Mihajlo Č. Štefanović

   In this paper we consider phase process second order statistics of generalized Rice (Beckmann) multipath fading channel. Closed-form expression for JPDF of phase and random FM noise is derived. Furthermore expressions for the PDF and CDF of random FM noise are obtained. The level-crossing rate of the phase process is then obtained for any phase crossing level. Obtained expressions reduces to known ones for Hoyt, Rice and Rayleigh fading channels, since these are the special cases of generalized Rice fading channel. Moreover, derived analytical expressions are compared with results obtained by computer simulation where excellent agreement is achieved. Presented results can be applied for analyzing the statistics of FM spikes in the case of data transmission over generalized Rice fading channels.

Keywords: level crossing theory, Hoyt fading channels, generalized Rice fading channels, random frequency modulation (FM) noise, phase proces

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