Title :
Analytical results on the statistical distribution of the zeros of mobile channels
Author :
Gerstacker, Wolfgang H. ; Schober, Robert
Author_Institution :
Lehrstuhl fur Nachrichtentech., Erlangen-Nurnberg Univ., Germany
Abstract :
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
Keywords :
FIR filters; Gaussian processes; cellular radio; correlation methods; delays; equalisers; filtering theory; radio receivers; random processes; statistical analysis; transfer functions; transient response; EDGE; Enhanced Data Rates for GSM Evolution; FIR filter; GSM; Global System for Mobile Communications; correlated Gaussian coefficients; correlated complex Gaussian random variables; correlations; cumulative distributions; discrete-time impulse response; equalizer design rules; mobile channels; polynomials; power delay profile; receiver input filter; statistical distribution; suboptimum receiver design; transfer function; transmit filter; uncorrelated taps; zeros density; Decision feedback equalizers; Delay estimation; Finite impulse response filter; GSM; Maximum likelihood estimation; Power filters; Random variables; Sampling methods; Statistical distributions; Transfer functions;
Conference_Titel :
Personal, Indoor and Mobile Radio Communications, 2000. PIMRC 2000. The 11th IEEE International Symposium on
Conference_Location :
London
Print_ISBN :
0-7803-6463-5
DOI :
10.1109/PIMRC.2000.881438
