Obtain and compare the magnitude spectrums of Hanning, Hamming and triangular wi

Question

Obtain and compare the magnitude spectrums of Hanning, Hamming and triangular windowed 100 and 110 Hz signals using a 20-ms window for each using MATLAB as given in Fig 3.35 on Magnitude spectrum for 100-Hz signal (left) and 110-Hz signal (right). First row corresponds to the magnitude spectra from a 20-ms windowed signal. Second row corresponds to the magnitude spectra from a 60-ms windowed signal. The dashed lines in the figure correspond to the DTFT spectra, while the stars correspond to the DFT spectra.

Explanation / Answer

%function [out] = window(win_size,type) %Input |%Output %win_size= no:of points in window |%out = window of length [win_size] %type = window type %Example Usage %win = window(2^4,'rectangular') %hanning %hamming %rectangular function [out] = window(win_size,type) res = ones(win_size,1); switch lower(type) case 'blackman' for i=0:1:win_size-1 res(i+1) = 0.42 - 0.5*cos(2*pi*i/(win_size-1)) + 0.08*cos(4*pi*i/(win_size -1)); end case 'flattop' a0=1; a1=1.93; a2=1.29; a3=0.338; a4=0.032; for i=0:1:win_size-1 res(i+1) = a0 - a1*cos(2*pi*i/(win_size-1)) + a2*cos(4*pi*i/(win_size -1))- a3*cos(6*pi*i/(win_size -1)) + a4*cos(8*pi*i/(win_size -1)); end case 'hanning' for i=0:1:win_size-1 res(i+1) = 0.5*(1 - cos(2*pi*i/(win_size-1))); end case 'hamming' for i=0:1:win_size-1 res(i+1) = 0.54 - 0.46*cos(2*pi*i/(win_size-1)); end case 'nuttall' a0=0.3635819; a1=0.4891775; a2=0.1365995; a3=0.0105411; a4=0.032; for i=0:1:win_size-1 res(i+1) = a0 - a1*cos(2*pi*i/(win_size-1)) + a2*cos(4*pi*i/(win_size -1))- a3*cos(6*pi*i/(win_size -1)); end otherwise end out = res; end

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