Capacity and cutoff rate for dense M-ary PSK constellations

Author

Geist, John

Author_Institution

Harris Corp., Melbourne, FL, USA

fYear

1990

fDate

30 Sep-3 Oct 1990

Firstpage

768

Abstract

Formulas and numerical results are obtained for the channel capacity and cutoff rate of a two-dimension Gaussian channel with signals uniformly distributed on a circle. This signal distribution is the limiting case of M-ary phase-shift keying (PSK) for large alphabet size. The capacity expression involves an integral that is evaluated numerically, but the cutoff rate is expressed in closed form. Simple high signal-to-noise ratio approximations for both formulas are presented. The results are compared with M-ary PSK for various alphabet sizes, as well as with other two-dimensional continuous signal distribution

Keywords

channel capacity; phase shift keying; signal processing; M-ary PSK constellations; M-ary phase-shift keying; SNR; alphabet sizes; channel capacity; closed form; cutoff rate; formulas; limiting case; numerical integration; signal distribution; signal-to-noise ratio approximations; two-dimension Gaussian channel; two-dimensional continuous signal distribution; Channel capacity; Constellation diagram; Density functional theory; Entropy; Gaussian channels; Gaussian noise; Integral equations; Noise shaping; Phase shift keying; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Military Communications Conference, 1990. MILCOM '90, Conference Record, A New Era. 1990 IEEE

Conference_Location

Monterey, CA

Type

conf

DOI

10.1109/MILCOM.1990.117518

Filename

117518