Structure Generation of Recursive Digital Formers of Harmonic Signal Samples

Abstract

In communications, radar technology, music synthesis, control systems, electronic equipment testing systems, digital generation of harmonic oscillations is widely used. Among the various approaches to solving this problem, the implementation of recursive algorithms for generating samples of sinusoidal signals with a given frequency, amplitude, and initial phase is used. Such oscillators can be represented as IIR digital filters whose transfer function poles are located in the z-plane on a circumference with a radius equal to one. This paper is devoted to the application of the method proposed by the authors used in development of IIR digital filters with a finite bit capacity of coefficients. With this method, poles and zeros are already calculated considering the finite length of the word. These values remain unchanged after the subsequent steps. At these stages, digital filter structures are generated, considering the given accuracy and complexity. In this paper, the generation of structures suitable for the implementation of harmonic oscillators is performed.