Electrical and Computer Engineering ETDs

Kyong-Hwa Lee

Publication Date

12-17-1975

Abstract

This paper is concerned with the problem of obtaining the optimal linear vector coding (transformation) method that matches an r-dimensional vector signal and a k-dimensional channel under a given channel power constraint. the encoder converts the r correlated random variables into r independent random variables and selects at most k independent random variables which correspond to the k largest eigenvalues of the signal covarience matrix Q. The encoder reinserts cross-correlation into the k random variables in such a way that the largest eigenvalue of Q is assigned to the smallest eigenvalue of the channel noise covarience matrix R and the second largest eigenvalue of Q to the second smallest eigenvalue of R, etc.

Document Type

Dissertation

Language

English

Degree Name

Electrical Engineering

Level of Degree

Doctoral

Department Name

Electrical and Computer Engineering

First Committee Member (Chair)

Daniel Paul Petersen

Second Committee Member

Arnold Herman Koschmann

Third Committee Member

Alfred Samuel Carasso

Fourth Committee Member

J. T. Cordaro

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