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Stability of the DPCM transmission system

Content Provider	IEEE Xplore Digital Library
Author	Macchi, O. Uhl, C.
Copyright Year	1992
Abstract	Bounded input-bounded output stability of the differential pulse code modulation (DPCM) transmission system is investigated. The output is calculated by a nonlinear feedback loop. In the feedforward path the quantizer characteristic can be taken as continuous. It exhibits a threshold and has a linear part with a variable slope p greater than 1. In the feedback path the linear filter R is recursive. Stability of R is sufficient but not necessary to ensure stability of the DPCM system. Conditions for stability of an order 1 predictor are determined. Comparison with the classical concept of stability for linear systems displays three specific features of the DPCM case: 1) the conditions on the prediction coefficient are less stringent: 2) the kind of stability is weaker; and 3) the negative case has a better stability than the positive case. As a function of the quantizer slope, the maximum prediction coefficient exhibits a maximum. The corresponding value p/sub opt/ delimits two ranges. For smaller slopes the quantizer threshold effect degrades the stability. At the optimum, the range of stability is the same with and without the quantizer threshold.<>
Sponsorship	IEEE Circuits and Systems Society
Starting Page	705
Ending Page	722
Page Count	18
File Size	1263148
File Format	PDF
ISSN	10577130
Volume Number	39
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-10-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability Quantization Linear systems Decoding Feedback loop Nonlinear filters Displays Degradation Adaptive systems Phase change materials
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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