Exam2 2015 with Soln - Name: _ Problem #1: _ 2: _ 3: _...

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Name:________________________________-1-ECE 565 DIGITAL SIGNAL PROCESSINGExam 1Thursday, March 12, 20151:00 P.M. - 2:10 P.M.The exam is open book and open notes. You must show your work to receive partial credit. Theproblem values are:Problem #140 PointsProblem #220 PointsProblem #340 PointsTotal100 PointsConsistent with the ECE Honor Code, you are asked to read the following voluntary statementcarefully and sign it before beginning your work in each exam booklet:I have not given or received unauthorized aid on this exam.___________________________________________________SignatureDateProblem #1:_______2:_______3:_______Total: _______
Name:________________________________Problem 1:(40 points) The objective is to approximate an ideal CT LPF with a whose passbandis from 0 to 5 kHz using a DT system with a sample rate of 20 kHz. The ripple erroris to be no greater than 0.01, and the transition frequency width no greater than 100Hz. The DT filter is to be an FIR filter designed using windowing (see Table 1 at theend of the test).a)Which of the following filters can be used to meet the specification: Rectangular,Bartlett, Hanning, Hamming, and Blackman?
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b) What is the discrete cutoff frequency (in samples–1) of the ideal DT filter?
c)Estimate the filter order that would be needed to achieve the specification using aBlackman window.
Name:________________________________-3-

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