Symbolic sensitivity analysis of the new second-order IIR structure

Abstract

AN HIGH-ORDER IIR (IN FINITE IMPULSE RESPONSE) FILTER IS USUALLY REALIZED IN THE FORM OF A CASCADE OR IN THE FORM OF A PARALLEL CONNECTION OF SECOND-ORDER SECTIONS. CONSEQUENTLY, IT IS OF INTEREST TO STUDY PROPERTIES OF A SECOND-ORDER DIGITAL FILTER STRUCTURES. TO THIS END, IN THIS PAPER WE PROPOSE A NEW SECOND-ORDER IIR FILTER STRUCTURE. THE EFFECT OF MULTIPLIER COEFFICIENT QUANTIZATION OF THE PROPOSED STRUCTURE IS ANALYZED USING THE MATLAB-BASED SYMBOLIC ANALYSIS. THE SENSITIVITY MATRIX OF THE STRUCTURE IS COMPUTED IN A SYMBOLIC FORM AND ITS POLE SENSITIVITIES ARE COM PARED WITH THAT OF OTHER KNOWN STRUCTURES.