This paper reviews the mathematical functions called the window functions which are employed in the Finite Impulse Response (FIR) filter design applications as well as spectral analysis for the detection of weak signals. The characteristic properties of the window functions are analyzed and parameters are compared among the known conventional cosine window (CW) functions (Rectangular, Hamming, Hanning, and Blackman) and the variable Kaiser window function. The window function expressed in the time domain can be transformed into the frequency domain by taking the Discrete Fourier Transform (DFT) of the time domain window function. The frequency response of the window function so obtained has main lobe, side lobes, and roll-off rate of side lobes. The main lobe width (MLW) expressed in 3dB bandwidth (BW), highest side lobe level (HSLL), and side lobe roll-off rate (SLROR) of the conventional window function and variable Kaiser window is then evaluated from the frequency response and compared to find out the appropriate window for employed applications.
Misra, Vikas; Singh, Narendra; and Shukla, M.
(SI10-068) Performance Analysis of Cosine Window Function,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
3, Article 9.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss3/9