Title

Convergence of the Projection Method for an Autoregressive Process and a Matched DPCM Code

Document Type

Article

Publication Date

1-1-1990

Abstract

The key step in the analysis of differential pulse code modulation (DPCM) is to find the steady state probability distribution of a random process in terms of which the code distortion can be evaluated. For the case of an autoregressive source and a matched DPCM code a well-known approximation technique has been previously used for the evaluation of the steady state distribution of the prediction error process. However, the validity of this approximation method has not been justified before. A framework is established in which this approximation technique can be viewed as the projection method for the solution of integral equations. Sufficient conditions under which the approximation method can be rigorously justified are also obtained. © 1990 IEEE

Publication Source (Journal or Book title)

IEEE Transactions on Information Theory

First Page

1255

Last Page

1264

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