A new window function for FIR filter design

Abstract

Digital signal processing is widely used and important for digital filter design. In this paper, a new window function is presented. Window function is applied to the coefficients of the FIR Filters obtained by using Fourier Series. In literature, there have proposed some window functions until now, such as cosh window, Kaiser window, Exponential window and etc; a new and efficient wondow function is proposed with combination of Blackman Window and three adjustable parameter Cosh Window. Lots of mathematical models are applied using proposed window function. Especially, filter length and adjustable parameters of proposed window function are analyzed to find the best optimized values of them. These obtained data try to prove on known filter types, such as low pass filter, high pass filter and band pass filter. Proposed window function is succesfull for side lobe region and ripple ratio compared to other proposed window functions in literature.