3) An LTI system is described by difference equation: v(n) = (tm)+ x[n – 17+ x[n - 2) a) Determine the system function H

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3 An Lti System Is Described By Difference Equation V N Tm X N 17 X N 2 A Determine The System Function H 1 (45.73 KiB) Viewed 22 times

3) An LTI system is described by difference equation: v(n) = (tm)+ x[n – 17+ x[n - 2) a) Determine the system function H(2) for this system b) Plot the poles and zeros H(z) in the z-plane c) Form Hz), obtain and expression for He"), the frequency response of this system d) Sketch the frequency response (magnitude and phase) as a function of frequency for - Sosa c) What is the output if the input is: x{n} = 4 + cos[0.25(n-1)) – 3 cos((2x/3)n] 1/3 KET4843 Digital Signal Processing 4) The diagram in the following figure depicts a cascade connection of two LTI systems. The output of the first system is the input to the second system, and the overall output is the output of the second system. Both systems are 4 point moving averagers. a. Determine the system function H(z) = HI(2).H2(z) for the overall system b. Plot the poles and zeros of H(z) in the z-plane. Hint: The poles and zeros of H(z) are the combined poles and zeros of H (2) and Hz(z) c. From H(z), obtain an expression for the frequency response of the overall cascade system d. Determine the impulse response h[n] of the overall cascade system