### Question 14Let \( h[n] \) be the impulse response of the following system:![Block Diagram](system.jpg)The block diagram provided consists of:- An input \( x[n] \) and an output \( y[n] \).- Two branches dividing the input signal, each with branches containing the gain \( \frac{1}{2} \).- Two delay elements represented by \( D \).- A negative feedback loop with a gain of \( -2 \).The task is to find for what values of \( A \) and \( B \) the impulse response \( h[n] \) satisfies the equation:\[ h[n] = A \, u[n] + B \left( -\frac{1}{2} \right)^n u[n] \]Here, \( u[n] \) is the unit step function.### Options:- \( A = -2 \) and \( B = -2 \)- \( A = -2 \) and \( B = -\frac{7}{2} \)- \( A = -\frac{2}{3} \) and \( B = -\frac{7}{6} \)- \( A = -\frac{2}{3} \) and \( B = \frac{2}{3} \)Choose the correct option.

Answered: Let h[n] be the impulse response of the…

Let h[n] be the impulse response of the following system. -2 you] 2 2 D For what values of A and B do we have h[n]=Au[n]+B u[n]?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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