Shaping gain of the partially coherent additive white Gaussian noise channel

Author

Hou, Ping ; Belzer, Benjamin J. ; Fischer, Thomas R.

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA

Volume

6

Issue

5

fYear

2002

fDate

5/1/2002 12:00:00 AM

Firstpage

175

Lastpage

177

Abstract

We derive necessary conditions on the channel input and output probability density functions (PDFs) to achieve channel capacity for the additive white Gaussian noise (AWGN) channel with Tikhonov distributed phase error. We show that the Gaussian input does not achieve capacity, and we obtain a lower bound on the shaping gain. The shaping gain can be as large as 2.4 dB at rates as low as 0.5 b/symbol/Hz. This contrasts with the well-known shaping gain for the AWGN channel, which is small at low transmission rates and 1.53 dB at higher rates.

Keywords

AWGN channels; channel capacity; phase estimation; probability; 2.4 dB; AWGN channel; Tikhonov distributed phase error; additive white gaussian noise channel; channel capacity; channel input probability density functions; channel output probability density functions; partially coherent channel; shaping gain; AWGN channels; Additive white noise; Baseband; Channel capacity; Gaussian channels; Gaussian noise; Noise shaping; Phase estimation; Phase locked loops; Probability density function;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/4234.1001655

Filename

1001655