The Probability of Stability Estimation of an Arbitrary Order DPCM Prediction Filter: Comparison between the Classical Approach and the Monte Carlo Method

Abstract

This paper presents the stability analysis of the linear recursive (prediction) filters with higher-order predictors in a DPCM (differential pulse-code modulation) system, where traditional methods become too difficult and complex. Stability conditions for the third-and fourth-order predictor are given by using the Schur-Cohn stability criterion. The probability of stability estimation is performed by using the Monte Carlo method. Verification of the proposed method is performed for lower-order predictors (the first-and second-order). We calculated numerical values of the probability of stability for higher-order predictors and previously experimentally obtained parameters. With large enough number of trials (samples) in Monte Carlo simulation, we reach the desired accuracy.

Um Mecanismo de Compressão de Dados Local em Tempo Real Energeticamente Eficiente para Redes WBANs

“…Deste modo, Dankovic et. al em (Danković et al, 2017) reforçaram que o método de modulação por codificação diferencial de pulso DPCM tem sido uma das técnicas mais efetivas para o processamento e transmissão de sinais com base no filtro de predição. Esta técnica é amplamente utilizada em telecomunicações, fala, codificação de imagens, entre outras.…”

New Class of Digital Malmquist-Type Orthogonal Filters Based on the Generalized Inner Product; Application to the Modeling DPCM System

“…An estimate, i.e. a prediction of the present value of the input signal is based on the knowledge of its earlier values [24]. That is why one of the most important parts of every DPCM and ADPCM (Adaptive Differential Pulse Code Modulation) is a predictor (a linear part of the system).…”

“…The proposed digital orthogonal filter is practically realized in the Laboratory for Modeling, Simulation and Control Systems [21] and it will be applied to modeling of the well-known digital system for signal transmission, Differential Pulse Code Modulation (DPCM) system [22][23][24]. Performances of the new filter are verified by comparing them with some other classes of digital orthogonal filters.…”