JDP_V2_N3_RP2 Muralidhar P.V. S.K. Nayak Journal on Digital Signal Processing 2322–0368 2 3 9 13 Fractional Fourier Transform, Dirichlet Window, Blackman-Harris Window The Fractional Fourier transform (FRFT) is the generalization of the classical Fourier transform (FT). The FRFT was introduced about seven decades ago as literature reveals. It appears that is was remained largely unknown to the signal image processing community to which it may be potentially useful. Here, introduces a novel derivation for FRFT to extract the spectral parameters like Maximum Side Lobe level Attenuation(MSLA), Half Band Width(HBW),Side Lobe Fall Of Ratio(SLFOR) of Dirichlet and Blackman window functions. And also an attempt is made to get the spectral characteristics of all existing windows like Dirichlet, Bartlett, Hanning, Bohman etc., with generalized equation which consists of FRFT of Dirichlet, Blackman window functions using Alaloui operator. July - September 2014 Copyright © 2014 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=3010