Title :
Stability Conditions for DPCM Coders
Author_Institution :
Universität Hannover, West Germany
fDate :
5/1/1982 12:00:00 AM
Abstract :
Differential pulse code modulation (DPCM) systems, used for encoding signals, are recursive and 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, necessary conditions for their suppression are derived. The stability conditions are evaluated for one-, two-, and three-dimensional predictors.
Keywords :
filtering and prediction theory; pulse code modulation; asymptotic stability; differential pulse code modulation; multidimensional DPCM systems; signal domain; transform domain; Decoding; Digital filters; Frequency; Limit-cycles; Low pass filters; Modulation coding; Pulse modulation; Quantization; Stability; Testing;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOM.1982.1095562
