A 32-point rectangular window wind is used in a DSP acquisition unit. (i) Compute a functional expression W,[9] where W,
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A 32-point rectangular window wind is used in a DSP acquisition unit. (i) Compute a functional expression W,[9] where W,
A 32-point rectangular window wind is used in a DSP acquisition unit. (i) Compute a functional expression W,[9] where W,[9] is the DTFT of w.[n] (ii) Make a plot of the magnitude of W,[2] for -1 <<T. 1 (iii) By analysing the plot in part (ii) above estimate the Scallop Loss in dBs of the rectangular window. 1 (iv) Use the functional expression from part (i) to compute the Scallop Loss in dBs. 1. The bilinear transformation s → digital filter. 2 (2-1) T (2+1) is to be used to design a (i) The system function of a first order low pass analog filter is 1 H(s) = which has a frequency spectrum of - +1 S a 1 HO) with a 3dB cut-off frequency at o=a. jo +1 a Design the difference equation of a low pass digital filter using the bilinear transformation method such that its 3dB cut-off frequency is 1/4 i.e 123db=1/4 and the sampling interval is T=2s. Your design should take frequency warping into consideration. (ii) Using the difference equation for the digital filter designed in part (1) above draw a canonical (minimum number of delays) realisation. 2
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