Towards Investigating the Properties of some Finite Impulse Response Filter in Signal Processing

Abstract

In this study, the use of windowing technique has been used to design filters within a range of specify order 35-40 alongside with adjustable parameters for each function. Three functions have been considered and results were obtained under each. The functions considered are Taylor window, Hamming window and Kaiser window. The results obtained showed that Hamming window generated the least relative sidelobe attenuation  of  -42.1Db and Leakage Factor of 0.04% at order 40 followed by Taylor window with level of relative sidelobe attenuation of -30.3dB and Leakage Factor of 0.44%.  Kaiser window has relative sidelobe attenuation of -14.5dB and Leakage Factor of 8.54% while maintaining constant mainlobe width and same number of sidelobes. The conclusion is that when considering leakage factor and mainlobe width in terms of usefulness, Kaiser window can be preferred first followed by Taylor and Hamming windows but in terms of side lobe attenuation Hamming window is preferable followed by Taylor window and Kaiser respectively.