Mismatched DPCM encoding of autoregressive processes

Author

Naraghi-Pour, Morteza ; Neuhoff, David L.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

36

Issue

2

fYear

1990

fDate

3/1/1990 12:00:00 AM

Firstpage

296

Lastpage

304

Abstract

A method for computing the mean squared error distortion of differential pulse code modulation (DPCM) applied to Gaussian autoregressive sources is developed. This extends previous work wherein the code predictor was matched to the source. A two-dimensional version of the projection method for the computation of the stationary distribution of the joint source-state process is developed from which distortion can be readily evaluated. An iterative algorithm is used to optimize the quantizer for a given source and predictor. The results show that the matched predictor is very nearly optimal but not exactly so, and that DPCM is fairly robust to mismatch of the prediction coefficient to the correlation coefficient of a first-order autoregressive source

Keywords

encoding; filtering and prediction theory; pulse-code modulation; 2D method; Gaussian autoregressive sources; code predictor; correlation coefficient; differential pulse code modulation; first-order autoregressive source; iterative algorithm; joint source-state process; mean squared error distortion; mismatched DPCM encoding; prediction coefficient; projection method; quantizer; stationary distribution; Autoregressive processes; Distributed computing; Encoding; Equations; Gaussian processes; Iterative algorithms; Modulation coding; Pulse modulation; Robustness; Statistics;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.52476

Filename

52476