A Novel Approach of Digital Filter Unit Noise Gain Minimization Based on Variable Function Optimization

Abstract

In this work, a new and improved optimization approach that minimize the unit noise gain in state-space of digital filters is presented. The main idea is the formulation of the unit noise gain in the form of several variables function then can get the equivalent state-space by optimization method. From this new generalized matrix, a new state space is derived and guaranty the minimization of unit noise gain. From various simulations operated on different order digital filters, we show the superiority of the proposed Several Variables Function Optimization (SVFO) algorithm over existing method.