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

Author

Gerstacker, Wolfgang H. ; Schober, Robert

Author_Institution

Lehrstuhl fur Nachrichtentech., Erlangen-Nurnberg Univ., Germany

Volume

4

fYear

2001

fDate

2001

Firstpage

1062

Abstract

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

Keywords

Gaussian processes; cellular radio; correlation methods; delays; equalisers; intersymbol interference; poles and zeros; statistical analysis; telecommunication channels; transfer functions; EDGE; Enhanced Data Rates for GSM Evolution; GSM; Global System for Mobile Communications; ISI channels; channel models; correlated complex Gaussian random variables; cumulative distributions; discrete-time overall impulse response taps; equalizer design; exponential distribution; intersymbol interference; mobile channels; nonzero mean; power delay profile; practical equalizer design rules; random polynomials; receiver input filter; statistical distributions; suboptimum receiver design; transfer function; transmit filter; uncorrelated taps; zero mean; zeros density; zeros distribution; zeros statistics; Delay; GSM; Intersymbol interference; Polynomials; Power filters; Power system modeling; Random variables; Statistical distributions; Statistics; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, 2001. ICC 2001. IEEE International Conference on

Conference_Location

Helsinki

Print_ISBN

0-7803-7097-1

Type

conf

DOI

10.1109/ICC.2001.936806

Filename

936806