Conference Proceeding

Cut-off rate and signal design for the Rayleigh fading space-timechannel

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI;
02/2000; DOI:10.1109/SAM.2000.877991 ISBN: 0-7803-6339-6 pp.168-172 In proceeding of: Sensor Array and Multichannel Signal Processing Workshop. 2000. Proceedings of the 2000 IEEE
Source: IEEE Xplore

ABSTRACT We consider the single-user computational cut-off-rate for the complex Rayleigh flat fading spatio-temporal channel under a peak power constraint. Determination of the cut-off rate requires maximization of an average error exponent over all possible space-time codeword probability distributions. This error exponent is monotone decreasing in a measure of dissimilarity between pairs of codeword matrices. For low SNR the dissimilarity function reduces to a trace norm of differences between outer products of pairs of codewords. We characterize the cut-off rate and the rate achieving constellation under different operating regimes depending on the number of transmit and receive antennas, the number of codewords in the constellation, and the received SNR

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Keywords

average error exponent
 
codeword matrices
 
codewords
 
complex Rayleigh flat
 
constellation
 
different
 
error exponent
 
low SNR
 
outer products
 
peak power constraint
 
possible space-time codeword probability distributions
 
regimes
 
single-user computational cut-off-rate
 
spatio-temporal channel
 
trace norm
 

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