Title :
Comments on "Canonical coordinates and the geometry of inference, rate, and capacity"
Author_Institution :
Dept. of Electron. Eng., Sogang Univ., Seoul, South Korea
fDate :
5/1/2002 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
