Analysis of novel window based on the polynomial functions

Abstract

A simple form of a window function with application to FIR filter design is implemented two parts, that is using polynomial functions with grade two and three and computational complexity becomes unavoidable. The spectral characteristic of proposed window is studied in details, and its performance is compared with traditional windows such as Kaiser Window. This is performed in ripple ratio and sidelobe roll-off ratio for the same window length and normalized mainlobe width. Simulation results show that proposed window presents better ripple ratio for the both narrower and wider mainlobe width and larger sidelobe roll-off ratio, The new window is almost quasi equi-ripple. The other advantages for our window are ability to use in various applications by changing two parameters this window can change it's time frame and spectrum and want smaller window length compared with other windows. © 2011 Springer-Verlag.