Stability Conditions for DPCM Coders

authored by

Peter Pirsch

Abstract

Differential pulse code modulation (DPCM) systems, used for encoding signals, are recursive and can exhibit instability under certain conditions. In this paper, sufficient conditions for asymptotic stability of multidimensional DPCM systems are obtained both in the signal domain and the transform domain. In the case of instability, certain kinds of limit cycles can be produced. For an important set of two-level limit cycles, necessary conditions for their suppression are derived. The stability conditions are evaluated for one-, two-, and three-dimensional predictors.

Organisation(s)

Architectures and Systems Section

Type

Article

Journal

IEEE Transactions on Communications

Volume

30

Pages

1174-1184

No. of pages

11

ISSN

0090-6778

Publication date

05.1982

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Electrical and Electronic Engineering

Electronic version(s)

https://doi.org/10.1109/TCOM.1982.1095562 (Access: Closed)