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Let the signal x[n] shown in Figure P3.3.1. This signal is the input to three di

ID: 1814768 • Letter: L

Question

Let the signal x[n] shown in Figure P3.3.1. This signal is the input to three different LTI systems with the frequency responses H1(e^j?) through H3(e^j?) shown in Figure P3.3.2.

(a) Specify which kind of filter each system is, i.e., highpass, lowpass or bandpass.

(b) Find an expression for the output y[n] from each system and sketch that signal. Look at each H(e^j?) carefully as the vertical scale is not the same on all three plots.

(c) Do the outputs y[n] match what you would have predicted from part (a)?


Let the signal x[n] shown in Figure P3.3.1. This signal is the input to three different LTI systems with the frequency responses H1(e^j?) through H3(e^j?) shown in Specify which kind of filter each system is, i.e., highpass, lowpass or bandpass. Find an expression for the output y[n] from each system and sketch that signal. Look at each H(e^j?) carefully as the vertical scale is not the same on all three plots. Do the outputs y[n] match what you would have predicted from part (a)?

Explanation / Answer

a) H1(e^jw) , Band Pass


    H2(e^jw) , LOW Pass

H3(e^jw) , High Pass