window coefficients

Sidelobes of the window transform contribute to the spectral leakage due to the frequencydomain convolution. One measure of this leakage is the maximum sidelobe height, which generally occurs at the first sidelobe for all windows except the Dolph-Chebyshev window.
(a) For simple windows such as the rectangular, Hanning, or Hamming window, the maximum sidelobe height is independent of window length N. Choose N = 11, 31, and 51, and determine the maximum sidelobe height in decibels for the above windows.
(b) For the Kaiser window, the maximum sidelobe height is controlled by the shape parameter ß and is proportional to ß/ sinh ß. Using several values of ß and N, verify the relationship between ß and the maximum sidelobe height.
(c) Determine the value of ß that gives the maximum sidelobe height nearly the same as that of the Hamming window of the same length. Compare the mainlobe widths and the window coefficients of these two windows.
(d) For the Dolph-Chebyshev window, all sidelobes have the same height A in decibels. For A = 40, 50, and 60 dB, determine the 3-dB mainlobe widths for N = 31 length window.