(25 points) The frequency response of an LTI filter is given by the formula H(ej@) = (1 - e-j6)(1 – ejn/4e-ja)(1 – e-it/

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25 Points The Frequency Response Of An Lti Filter Is Given By The Formula H Ej 1 E J6 1 Ejn 4e Ja 1 E It 1 (114.06 KiB) Viewed 34 times

(25 points) The frequency response of an LTI filter is given by the formula H(ej@) = (1 - e-j6)(1 – ejn/4e-ja)(1 – e-it/4e-j@) = a (a) (10 points) Write a difference equation that gives the relation between the input x[n] and the output y[n]. (b) (10 points) Determine and plot the unit step response of this filter (i.e., the output when x[n] = u[n]). (c) (5 points) If the input is of the form x[n] = Aejº e-jûn, for what values of -1 < Ô ste is y[n] = 0 for = = = all n.