Answer Happy

A 32-point rectangular window w,[n] 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 --<<T. (iii) By analysing the plot in part (ii) above estimate the Scallop Loss in dBs of the rectangular window. (iv) Use the functional expression from part (i) to compute the Scallop Loss in dBs. (b) 2 (3-1) T (2+1) The bilinear transformation s → digital filter is to be used to design a (1) The system function of a first order low pass analog filter is H(S) which has a frequency spectrum of S+1 α 1 HO) with a 3dB cut-off frequency at o=a. jo a Design the difference equation of a low pass digital filter using the bilinear transformation method such that its 3dB cut-off frequency is 2/4 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 (i) above draw a canonical (minimum number of delays) realisation.