The statistics of the zeros of mobile channels: results and implications for equalizer design

TitleThe statistics of the zeros of mobile channels: results and implications for equalizer design
Publication TypeConference Paper
Year of Publication2001
AuthorsGerstacker, W., and R. Schober
Conference NameCommunications, 2001. ICC 2001. IEEE International Conference on
Pagination1062 -1067 vol.4
Keywordscellular radio, channel models, correlated complex Gaussian random variables, correlation methods, cumulative distributions, delays, discrete-time overall impulse response taps, EDGE, Enhanced Data Rates for GSM Evolution, equalisers, equalizer design, exponential distribution, Gaussian processes, Global System for Mobile Communications, GSM, intersymbol interference, ISI channels, mobile channels, nonzero mean, poles and zeros, power delay profile, practical equalizer design rules, random polynomials, receiver input filter, statistical analysis, statistical distributions, suboptimum receiver design, telecommunication channels, transfer function, transfer functions, transmit filter, uncorrelated taps, zero mean, zeros density, zeros distribution, zeros statistics

In this paper, the distribution of zeros of mobile channels is investigated and the results obtained are applied to the channel models standardized for 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 with zero or nonzero mean, 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 results from the mathematical literature on the zeros of random polynomials are used. From this density two cumulative distributions which are relevant for the design of suboptimum receivers for intersymbol interference (ISI) channels are derived for the case of uncorrelated taps with exponential distribution of the tap variances. Finally, practical equalizer design rules for the GSM/EDGE system are deduced from the calculated statistical distributions


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