A New Iterative FIR Filter Design Approach using a Gaussian Approximation

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.