This paper presents a novel design method for multidimensional 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 proposed. With such 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 perfomance of the 2D filters, thus obtained, are well- suited for space applications.

A Novel 2D Fir Filter Design Methodology based on a Gaussian Based Approximation

Giacomo Capizzi
;
Grazia Lo Sciuto
2019

Abstract

This paper presents a novel design method for multidimensional 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 proposed. With such 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 perfomance of the 2D filters, thus obtained, are well- suited for space applications.
Multidimensional FIR filter design, Closed-form FIR tap coefficients, Gabor system, Equispaced Gaussian functions.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/359108
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