On the capacity of the discrete-time Gaussian channel with delayed feedback

Author

Yanag, Kenjiro

Author_Institution

Fac. of Eng., Yamaguchi Univ., Ube, Japan

Volume

41

Issue

4

fYear

1995

fDate

7/1/1995 12:00:00 AM

Firstpage

1051

Lastpage

1059

Abstract

Gives an upper bound on the finite block length capacity of the discrete-time nonstationary Gaussian channel with delayed feedback. With the aid of minimization of a quadratic form, it is proved that the L time-delayed feedback capacity C_nFB^L(P) and the nonfeedback capacity C_n(P) satisfy C_n(P)⩽C_nFB^L(P)⩽C_n(P*) where P* is concretely given. The authors give a sufficient condition for C_nFB^L(P) to be increased by L time-delayed feedback. Finally the authors also give a necessary and sufficient condition for C_nFB²(P) of a class of Gaussian channel to be increased by 2 time-delayed feedback

Keywords

Gaussian channels; channel capacity; delays; discrete time systems; feedback; minimisation; time-varying channels; L time-delayed feedback; capacity; delayed feedback; discrete-time Gaussian channel; finite block length capacity; minimization; nonfeedback capacity; nonstationary Gaussian channel; quadratic form; time-delayed feedback capacity; Channel capacity; Delay; Gaussian channels; Gaussian processes; Helium; Output feedback; Signal processing; Sufficient conditions; Upper bound; Zinc;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.391236

Filename

391236