Source coding theorem for cyclostationary gaussian sources

Wen Jyi Hwang

doi:10.1080/02533839.1997.9741803

Source coding theorem for cyclostationary gaussian sources

Wen Jyi Hwang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper presents the source coding theorem and its converse for discrete-time cyclostationary Gaussian sources with absolutely summable autocorrelation sequence. For the proofs of these theorems, a new definition for the rate distortion function R(D) for cyclostationary Gaussian sources is presented and the existence of R(D) is proved. The transform coding scheme is used to show the existence of the optimal code. With the proof of the source coding theorem and its converse, it is shown that the newly defined rate distortion function for cyclostationary sources is consistent with the usual concept of rate distortion function as defined for stationary sources.

Original language	English
Pages (from-to)	27-37
Number of pages	11
Journal	Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume	20
Issue number	1
DOIs	https://doi.org/10.1080/02533839.1997.9741803
Publication status	Published - 1997
Externally published	Yes

Keywords

Cyclostationary gaussian sources
Rate distortion function
Source coding theorem

ASJC Scopus subject areas

General Engineering

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10.1080/02533839.1997.9741803

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keywords = "Cyclostationary gaussian sources, Rate distortion function, Source coding theorem",

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year = "1997",

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N2 - This paper presents the source coding theorem and its converse for discrete-time cyclostationary Gaussian sources with absolutely summable autocorrelation sequence. For the proofs of these theorems, a new definition for the rate distortion function R(D) for cyclostationary Gaussian sources is presented and the existence of R(D) is proved. The transform coding scheme is used to show the existence of the optimal code. With the proof of the source coding theorem and its converse, it is shown that the newly defined rate distortion function for cyclostationary sources is consistent with the usual concept of rate distortion function as defined for stationary sources.

AB - This paper presents the source coding theorem and its converse for discrete-time cyclostationary Gaussian sources with absolutely summable autocorrelation sequence. For the proofs of these theorems, a new definition for the rate distortion function R(D) for cyclostationary Gaussian sources is presented and the existence of R(D) is proved. The transform coding scheme is used to show the existence of the optimal code. With the proof of the source coding theorem and its converse, it is shown that the newly defined rate distortion function for cyclostationary sources is consistent with the usual concept of rate distortion function as defined for stationary sources.

KW - Cyclostationary gaussian sources

KW - Rate distortion function

KW - Source coding theorem

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JO - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an

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ER -

Source coding theorem for cyclostationary gaussian sources

Abstract

Keywords

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