Stability of a DPCM transmission system with an order t predictor

Author

Uhl, Christine ; Macchi, Odile

Author_Institution

Lab. des Signaux et Syst., CNRS-ESE, Gif-sur-Yvette, France

Volume

40

Issue

1

fYear

1993

fDate

1/1/1993 12:00:00 AM

Firstpage

50

Lastpage

55

Abstract

Bounded-input-bounded-output (BIBO) stability is investigated for a DPCM transmission system. For the input signal, the output is calculated by a nonlinear feedback loop. The quantizer characteristics can be taken as continuous in the feedforward path. The quantizer exhibits a saturation level and has a linear part with a variable slope greater than 1. In the feedback path, the linear filter R is recursive. The stability of R is sufficient to ensure the stability of the DPCM system. The case of an order-1 predictor has been investigated previously. In this work, the stability of an order-t predictor is considered. The main result is that the stability of R is not necessary. In the second-order case, the shape of the stability domain in terms of the prediction coefficients is investigated

Keywords

feedback; filtering and prediction theory; pulse-code modulation; stability; BIBO stability; DPCM transmission system; feedback path; feedforward path; linear filter; linear recursive filter; nonlinear feedback loop; order-t predictor; prediction coefficients; quantizer characteristics; second-order case; Bit rate; Decoding; Delta modulation; Feedback loop; Nonlinear filters; Phase change materials; Quantization; Shape; Stability analysis; Transversal filters;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.215342

Filename

215342