How Good Is PSK for Peak-Limited Fading Channels in the Low-SNR Regime?

Author

Zhang, Wenyi ; Laneman, J. Nicholas

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN

Volume

53

Issue

1

fYear

2007

Firstpage

236

Lastpage

251

Abstract

This paper investigates the achievable information rate of phase-shift keying (PSK) over frequency nonselective Rayleigh and Rician fading channels without channel state information (CSI). The fading process exhibits general temporal correlation characterized by its spectral density function. We consider both discrete-time and continuous-time channels, and find their asymptotics at low signal-to-noise ratio (SNR). Compared to known capacity upper bounds under peak constraints, these asymptotics lead to negligible rate loss in the low-SNR regime for slowly time-varying fading channels. We further specialize to case studies of Gauss-Markov and Clarke´s fading models

Keywords

Rayleigh channels; Rician channels; correlation methods; phase shift keying; spectral analysis; time-varying channels; PSK; Rician fading channels; continuous-time channels; discrete-time channels; frequency nonselective Rayleigh channels; phase-shift keying; spectral density function; temporal correlation; time-varying fading channels; Channel state information; Density functional theory; Fading; Frequency; Information rates; Phase shift keying; Rayleigh channels; Rician channels; Signal to noise ratio; Upper bound; Low signal-to-noise ratio (SNR); Rayleigh fading; Rician fading; noncoherent; phase-shift keying (PSK); recursive training; spectral density function; temporal correlation;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2006.887073

Filename

4039684