On the distribution of zeros of mobile channels with application to GSM/EDGE

TitleOn the distribution of zeros of mobile channels with application to GSM/EDGE
Publication TypeJournal Article
Year of Publication2001
AuthorsSchober, R., and W. H. Gerstacker
JournalSelected Areas in Communications, IEEE Journal on
Pagination1289 -1299
Date Publishedjul.
Keywordsall-pass filters, allpass prefilter, cellular radio, channel power delay profile, correlated complex Gaussian random variables, correlation methods, cumulative distributions, decision feedback equalisers, decision-feedback equalization, delays, DFE, digital radio, digital receiver design, discrete-time impulse response, FIR filter, GSM/EDGE, impulse response truncation, mobile channels, poles and zeros, radio receivers, radio transmitters, receiver input filter, reduced-state sequence estimation, RSSE, sequential estimation, statistical analysis, suboptimum receiver design, telecommunication channels, transfer function, transient response, transmit filter, zeros density, zeros distribution

The distribution of zeros of mobile channels is investigated and the results obtained are applied to the GSM/EDGE 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 is used. From this density, two cumulative distributions which are relevant for the design of suboptimum receivers are derived. Our investigations show that for the power delay profiles specified for GSM/EDGE, an allpass prefilter which transforms the impulse response in its minimum phase equivalent should be employed if decision-feedback equalization (DFE) or reduced-state sequence estimation (RSSE) are used at the receiver. On the other hand, if impulse response truncation using a linear prefilter is applied, the truncated impulse response should have a length of three as shown


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