The paper presents a novel iterative methodology for the design of FIR filters based on an approssimation of the desired filter frequency response using a Gabor system generated by the Gaussian function. The proposed method exhibits simplicity of implementation, comparable to that of window-based design methods and ensures accuracy in the fulfillment of design requirements, comparable to the one achieved by the Parks- McClellans method. Furthermore, two other advantages of this method are: closed-form formula for the tap coefficients of the filter and the smooth, monotonically decreasing behaviour of the frequency response from DC to infinite frequency.

A New Iterative FIR Filter Design Approach using a Gaussian Approximation

Capizzi, Giacomo
;
Coco, Salvatore;Lo Sciuto, Grazia;Napoli, Christian
2018-01-01

Abstract

The paper presents a novel iterative methodology for the design of FIR filters based on an approssimation of the desired filter frequency response using a Gabor system generated by the Gaussian function. The proposed method exhibits simplicity of implementation, comparable to that of window-based design methods and ensures accuracy in the fulfillment of design requirements, comparable to the one achieved by the Parks- McClellans method. Furthermore, two other advantages of this method are: closed-form formula for the tap coefficients of the filter and the smooth, monotonically decreasing behaviour of the frequency response from DC to infinite frequency.
2018
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: https://hdl.handle.net/20.500.11769/333599
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