Source Conding Theorem for Discrete-Time Stationary Gaussian Sources with Absolutely Summable Autocorrelation Sequence

具有絕對可加性自相關數列的離散時間穩定高斯訊號的編碼定理

黃文吉(Wen-Jyi Hwang)

《中原學報》 24卷1期 (1996/01) Pp. 67-73

https://doi.org/10.6358/JCYU.199601.0067

摘要

本論文提出具有絕對可加性自相關數列的離散時間穩定高斯訊號的編碼定理。本定理之證明主要是採用轉換編碼的方法。在此方法中，每一個碼都是在轉換域中架構。另外，絕對可加性自相關數列之假設只是意指在頻譜中必須連續。因此，在以往研究離散時問穩定高斯訊號的編碼定理中，通常具有的頻譜必須有限的假設在本定理中可被去除。

關鍵字

編碼定理 ； 穩定高斯訊號 ； 自相關數列

並列摘要

This paper presents the source coding theorem for discrete-time stationary Gaussian sources with absolutely summable autocorrelation sequence. The theorem is proved using transform coding scheme in that all the codes are operative in transform domain. The absolute summability of autocorrelation sequence imposes only the continuity constraint on the power spectrum. Therefore, boundedness condition on the spectrum, which is a common assumption in the earlier studies for stationary Gaussian sources, is lifted by the theorem.

並列關鍵字

Source Coding Theorem ； Stationary Gaussian Sources ； Autocorrelation sequence