On the Low-SNR Capacity of Phase-Shift Keying with Hard-Decision Detection
Abstract
The low-snr capacity of M-ary PSK transmission over both the additive white Gaussian noise (AWGN) and fading channels is analyzed when hard-decision detection is employed at the receiver. Closed-form expressions for the first and second derivatives of the capacity at zero snr are obtained. The spectral-efficiency/bit-energy tradeoff in the low-snr regime is analyzed by finding the wideband slope and the bit energy required at zero spectral efficiency. Practical design guidelines are drawn from the information-theoretic analysis. The fading channel analysis is conducted for both coherent and noncoherent cases, and the performance penalty in the low-power regime for not knowing the channel is identified.
Keywords
Cite
@article{arxiv.0705.0124,
title = {On the Low-SNR Capacity of Phase-Shift Keying with Hard-Decision Detection},
author = {Mustafa Cenk Gursoy},
journal= {arXiv preprint arXiv:0705.0124},
year = {2016}
}
Comments
To appear in the Proc. of the 2007 IEEE International Symposium on Information Theory