ELEC 310 Midterm: ELEC 310 UVic Elec 310 Midterm 2 Soln Mar 4 2005

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Notes: this is a closed book examination, a single sided 8. 5x11 inch crib note sheet is allowed. Hand in this sheet with your midterm: non-programmable calculators are allowed. 1: the response of an fir lter to an input x[n] is given by y[n] = Xk=0 bk x[n k] (a) when the input of this lter is x[n] = [n], the response is shown below: Write the coe cients {bk} of this lter. (5pts) k. 0 (b) what is the response of this lter to an input of the form: (15pts) x[n] = n u[n] where u[n] = (cid:26) 1 n 0. Make sure you specify y[n] for all n. For n 4: y[n] = 1. 5 x[n] + 2. 5 x[n 1] + 2. 0 x[n 2] + 1. 0 x[n 3] + 0. 5 x[n 4] = 1. 5(n) + 2. 5(n 1) + 2. 0(n 2) + 1. 0(n 3) + 0. 5(n 4)

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