An LTI system has the transfer functionH(z) =(z - 1)(z - 6)(z-2)(z-3)Compute:(a) The zeros and poles. Is the system stable?(b) The difference equation.(c) The response to input a[n] = {1, -5, 6}.(d) The impulse response h[n].

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Answered: An LTI system has the transfer function…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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This homework deals with applications of concepts related to the Bilateral Laplace Transform, or otherwise known as the BLT 1. For the circuit shown, the voltage source x(t) is the input and the current y(t) y(t) is the output. Write the differential equation of the cireuit relating the input L and the output without assigning x(t) numerical values to the eireuit elements 2. Use the differential equation developed in Prob. 1 to obtain the transfer function H(s) of the system (circuit) 3. Assume now for simplicity that the circuit elements have the unrealistic values of 10 1H, and 1F. Draw the pole-zero plot of the transfer function of the system using these component values. 4. Use graphical methods to evaluate and plot the magnitude of the transfer function H(j@) as a function of o. Show five separate pole-zero plots and the associated vectors. One plot will be done with o=0 rps, the next one with o=0.5 rps , the next one with o-1rps, the next one with -5 rps , and the last one with…
1.) Please do A and B
Given responses in a first-order RC or RL circuit, (a) describe how you would find the circuit parameters or other responses. (b) How would you find the circuit’s natural frequencies and initial conditions (if not given)?
2. The signal y[n] is the output of an LTI system with impulse response h[n] for a given input x[n]. Throughout problem, assume that y[n] is sable and has a z- transform Y(z) with the pole-zero diagram shown in Figure-1, and the signal x[n] is stable and has the pole-zero diagram shown Figure-2. (2)urz Im(z) 1.5 1 0.5 0 -0.5 -1 -1.5 1 0.5 0 -0.5 -1 -1 -1 ديا أحد 3 0 6-17 *-12 1 1 1 Re(z) ↑ Figure-1 11 4 2 0 Re(z) ↑ Figure-2 2 2 z-plane z-plane
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Input-output relationship of an LTI system is given by the equation y[n] -0.3y[n 1] = x[n]. a. Draw the block diagram of the system. b. Derive the output signal equation y[n] fully in the discrete-time domain (without using any transform), if the input signal is x[n] = Ad[n]. c. Derive the impulse response equation. d. Is this FIR or IIR system, why? e. Find H(z).
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A control system is represented by the following differential equation; d2x/dt2 + 5dx/dt+7x =7y What will be the frequency of oscillation _________________ and the damping ratio ___________________ of the system respectively if the transfer function is X(s)/Y(s) fill the gap
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A unit step is applied att0 to a first order system without time delay. The response has a value of 1.264 units at t-10 min and 2 units at steady state. The transfer function of the system is 2. (A) 1+ 600s 2. (B) 600+s (C) (D) 600+s 1+ 600s
question's in photo please
Explain, with the use of appropriate diagrams, what is meant by the term “transfer function”. What is meant by the terms “dynamic and steady-state response” and “time constant” (again, use appropriate diagrams as necessary) Calculate the transfer function of the system shown in an image:

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An LTI system has the transfer function H(z) = (z - 1)(z - 6) (z-2)(z-3) Compute: (a) The zeros and poles. Is the system stable? (b) The difference equation. (c) The response to input a[n] = {1, -5, 6}. (d) The impulse response h[n].