A resonant section filter design method for optimized coefficients in add-and-shift architectures

The purpose of this paper is to present a new filter design technique based on a frequency-domain transformation and observations on the nature of IIR coefficients. The basis of the design procedure is a generalized form of a resonant analog second-order section. The resonant analog section has many meaningful parameters which would be useful for digital filter design. Hence, a bilinear transform of the generalized analog resonant section is taken to develop a digital resonant, section. From the formulae derived for key resonant section parameters, the filter is designed entirely in the digital frequency domain. This algorithm is primarily intended for shift-and-add architectures because the designer can control key parameters even in wide dynamic range filters.