TY - JOUR

T1 - Source coding theorem for cyclostationary gaussian sources

AU - Hwang, Wen Jyi

PY - 1997

Y1 - 1997

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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U2 - 10.1080/02533839.1997.9741803

DO - 10.1080/02533839.1997.9741803

M3 - Article

AN - SCOPUS:0030649651

SN - 0253-3839

VL - 20

SP - 27

EP - 37

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

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

IS - 1

ER -