Analytical results on the statistical distribution of the zeros of mobile channels

TitleAnalytical results on the statistical distribution of the zeros of mobile channels
Publication TypeConference Paper
Year of Publication2000
AuthorsGerstacker, W. H., and R. Schober
Conference NamePersonal, Indoor and Mobile Radio Communications, 2000. PIMRC 2000. The 11th IEEE International Symposium on
Pagination304 -309 vol.1
Keywordscellular radio, correlated complex Gaussian random variables, correlated Gaussian coefficients, correlation methods, correlations, cumulative distributions, delays, discrete-time impulse response, EDGE, Enhanced Data Rates for GSM Evolution, equalisers, equalizer design rules, filtering theory, FIR filter, FIR filters, Gaussian processes, Global System for Mobile Communications, GSM, mobile channels, polynomials, power delay profile, radio receivers, random processes, receiver input filter, statistical analysis, statistical distribution, suboptimum receiver design, transfer function, transfer functions, transient response, transmit filter, uncorrelated taps, zeros density

The distribution of zeros of mobile channels is investigated and the results obtained are applied to the GSM (Global System for Mobile Communications)/EDGE (Enhanced Data Rates for GSM Evolution) system. The taps of the discrete-time overall impulse response can be modeled as correlated complex Gaussian random variables, where the correlations depend on the transmit filter, the power delay profile of the channel, and the receiver input filter. For calculation of the density of zeros of the overall transfer function a result from the mathematical literature on the zeros of polynomials with correlated Gaussian coefficients is used. From this density two cumulative distributions which are relevant for the design of suboptimum receivers are derived and specialized to the case of uncorrelated taps. Finally, practical equalizer design rules for the GSM/EDGE system are deduced from the calculated statistical distributions


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