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New exponential bounds and approximations for the computation of error probability in fading channels (2003)
| Venue: | IEEE Transactions on Wireless Communications |
| Citations: | 62 - 2 self |
BibTeX
@ARTICLE{Chiani03newexponential,
author = {Marco Chiani and Senior Member and Davide Dardari and Marvin K. Simon},
title = {New exponential bounds and approximations for the computation of error probability in fading channels},
journal = {IEEE Transactions on Wireless Communications},
year = {2003},
pages = {840--845}
}
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Abstract
Abstract—We present new exponential bounds for the Gaussian function (one- and two-dimensional) and its inverse, and for-ary phase-shift-keying (MPSK),-ary differential phase-shift-keying (MDPSK) error probabilities over additive white Gaussian noise channels. More precisely, the new bounds are in the form of the sum of exponential functions that, in the limit, approach the exact value. Then, a quite accurate and simple approximate expression given by the sum of two exponential functions is reported. The results are applied to the general problem of evaluating the average error probability in fading channels. Some examples of applications are also presented for the computation of the pairwise error probability of space–time codes and the average error probability of MPSK and MDPSK in fading channels. Index Terms—Bounds, fading,-ary differential phase-shift keying (MDPSK),-ary phase-shift keying (MPSK), function,
Keyphrases
error probability new exponential bound fading channel average error probability exponential function pairwise error probability ary phase-shift keying for-ary phase-shift-keying general problem new bound ary differential phase-shift keying simple approximate expression exact value additive white gaussian noise channel ary differential phase-shift-keying quite accurate gaussian function index term bound space time code
