Recursive digital filters with delta modulation

Abstract

Delta modulation (DM) with a uniform quantization step and a constant discretization frequency is used in digital filtration by virtue of its simplicity of realization and noise immunity [1]. Procedures for the calculation and design of recursive digital filters (RDFs) using DM are known for the case in which the readings are represented in linear DM format, while the coefficients are presented in a pulse-code-modulation (PCM) format [2,3]. Procedures have not been developed for calculation, computer modeling, and design of RDFs in which all quantities are presented in DM format (RDFDMs). This limits the applications of DM in physical RDP designs. In this paper we present methods derived with interacting PCM and linear DM formats [4,5] for the calculation and modeling of RDFDMs and one practical realization