An adjustable novel window function with its application to FIR filter design

A new class of adjustable window function, based on combination of tangent hyperbolic function and a weighted cosine series, is proposed. The proposed window is adjustable in the sense that by changing its controlling parameter, one can change not only its shape but also its spectral characteristics. The spectral characteristic of the proposed window is studied and its performance is compared with Dolph-Chebyshev, Gaussian and Kaiser Windows. Simulation results show that the proposed window yields better ripple ratio and side-lobe roll-off ratio than the above named windows. Moreover, the paper represents the application of the proposed window in finite impulse response (FIR) filter design. The results confirm that the filter designed by the proposed window provides better spectral characteristics than Kaiser window. This paper also highlights an application of the proposed Filtering method in the area of eliminating noise from corrupted ECG signal.