Title :
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
fDate :
1/1/1993 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
