A Novel 2-D FIR Filter Design Methodology Based on a Gaussian-Based Approximation

Abstract

This letter presents a novel design method for multidimensional finite-impulse response (FlR) filters based on the representation of the desired frequency response by using a Gabor system generated by a Gaussian function. A direct synthesis of the desired filter frequency response is obtained from standard design specifications. Further, we report some comparative tests with the well known Parks–McClellan's methodology in order to illustrate the concrete advantages of the novel design approach that we have proposed. With such an approach, the design procedure turns out to be especially simple to implement, as it employs closed design formulas which directly link filter coefficients to design specifications, and moreover, affords a better pass-band flatness than any known design approach. It also yields stop-band attenuations and grants control over critical frequencies, which turn out being very close to those obtainable with Parks–McClellan method. The enhanced performance of the 2-D filters thus obtained are well suited for space applications.