Assignment4_w2010

# Assignment4_w2010 - Carleton University Department of...

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1 of 3 Carleton University Department of Systems and Computer Engineering SYSC-4405: Digital Signal processing Winter Semester 2010 Assignment # 4 New Date : March 26, 2010, before 1:00 p.m. ______________________________________________________________________________ Problem 1 use matlab to answer this question Consider a system that is described by the difference equation where b =[0.0076 0.0455 0.1138 0.1517 0.1138 0.0455 0.0076] and a = [ 1.0000 -1.4851 1.6036 -0.9241 0.3592 -0.0756 0.0073] The transfer function of such a system is given by The frequency response of this system is given by . a) From the system coefficients given above, determine the poles and zeros of the system, and show that it is stable. [ You may use the “roots” command of matlab to determine the poles and zeroes of the system]. Now use the “zplane” command to generate the pole-zero diagram for this system. b) Determine and plot the frequency response of this system, for frequencies in the range . Provide separate plots for the magnitude and phase responses of this system. From your observation of this result what kind of symmetry seems to have?

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Assignment4_w2010 - Carleton University Department of...

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