Question

did i do ‘a’ correctly? and how do you do ‘b’, ‘c’, and ‘d’?

Prob. 2 A DT system with real-valued impulse response hin), has the following magnitude and phase responses. Note that since hin] R, IH(e) H(eo) and H(e)H(e-) (a) From the graphs, fill in the table below. Express the frequency response in polar form, Hea ZH(e) Cu -2 633 -1032 π/8 ~ 0.4 1.2 60 03 1.5 r/2x 1.6 6.4I66 6s Prob. 2 (cont.) (b) Suppose the input signal to the system is given by Use your values in (a) and(eigenfunction theory to determine the output signal, y n . (c) Suppose the input signal to the system is given by zinl-358 cos (TI/4) + 13.21 sin (m/2) Use your values in (a) and eigenfunction theory to determine the output signal, yln) (d) Suppose the input signal to the system is given by Use your values in (a) and eigenfunction theory to determine the output signal, v/n.

Answer 1

Using Eigen Function property of LTI system we get the solution for part b, c, d. Part a is almost correct.

Ct 1 2 2 2 0.2一 1 * 3-12 e

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