Stability of a DPCM transmission system with an order t predictor

摘要

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.