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A FREQUENCY HOPPING RAYLEIGH FADING CHANNEL SIMULATOR WITH GIVEN CORRELATION PROPERTIES.pdf

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A FREQUENCY HOPPING RAYLEIGH FADING CHANNEL SIMULATOR WITH GIVEN CORRELATION PROPERTIES

A FREQUENCY HOPPING RAYLEIGH FADING CHANNEL SIMULATOR WITH GIVEN CORRELATION PROPERTIES Matthias P?tzold, Frank Laue, and Ulrich Killat Technical University of Hamburg-Harburg Department of Digital Communication Systems Denickestr. 17 D-21071 Hamburg, Germany phone/fax: (+49)40-7718-3149/2941 e-mail: paetzold@tu-harburg.d400.de Abstract — A Rayleigh fading channel simulator with excellent frequency hopping capabilities is described. The pro- posed channel simulator can easily be designed, and its statistical properties are in good conformity with the underlying physical (mathematical) radio channel model. Our simulator is based on a finite sum of weighted harmonic functions with determined frequencies and phases (Rice’s sum of sinusoids). It is shown, that the occurrence of a frequency hop in the physical channel model corresponds to an exchange of determinated phases in the simulation model, whereas the other simulation model parameters remain unchanged. For all parameters of the simulation model simple equati- ons in closed-form are given. Moreover, the performance of the proposed channel simulator is investigated for typical frequency hopping mobile radio data transmission scenarios. Keywords — Mobile Radio Channel Modelling, Fading Channel Simulator, Frequency Hopping. I. INTRODUCTION Frequency hopping combined with error protection techniques and interleaving is known to be very efficient in combating chan- nel fading. It results in near-Gaussian performance even over ho- stile Rayleigh fading channels [1]. For the GSM System (slow) frequency hopping is an optional feature for each individual cell. The principle of (slow) frequency hopping GSM is that the carri- er frequency is changed with every TDMA frame. By this means, frequency hopping adds frequency diversity to the mobile radio channel [2]. A channel simulator that models accurately the physical channel statistics determined by cyclic or pseudo-random hopping pat- terns of the carrier frequency is called