Source coding theorem for cyclostationary gaussian sources

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.