Comments on "Canonical coordinates and the geometry of inference, rate, and capacity"

Author

Park, Rae-Hong

Author_Institution

Dept. of Electron. Eng., Sogang Univ., Seoul, South Korea

Volume

50

Issue

5

fYear

2002

fDate

5/1/2002 12:00:00 AM

Firstpage

1248

Lastpage

1249

Abstract

In a paper by Scharf and Mullis (see ibid., vol.48, p.824-31, Mar. 2000), the circulant Gaussian channel was presented as an example to compute canonical correlations and to derive Shannon´s capacity theorem. The objective of this article is to present a simpler real-valued discrete Hartley transform (DHT) representation for a real, symmetric, circulant covariance matrix in place of the complex-valued discrete Fourier transform (DFT) representation.

Keywords

Gaussian channels; channel capacity; correlation methods; covariance matrices; discrete Hartley transforms; interference (signal); DFT; DHT; Shannon´s capacity theorem; canonical coordinates; canonical correlations; circulant Gaussian channel; circulant covariance matrix; complex-valued discrete Fourier transform; inference geometry; rate; real covariance matrix; real-valued discrete Hartley transform; symmetric covariance matrix; Adaptive filters; Channel capacity; Computational geometry; Covariance matrix; Discrete Fourier transforms; Discrete transforms; Eigenvalues and eigenfunctions; Fourier transforms; Gaussian channels; Symmetric matrices;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.995091

Filename

995091