from question 2 c-d please. 1)An input signal x(1)=e -2«-1) u(t-1) is applied to an LTI system with impulse responseh(t) = 48(1) + e -' u(t). Calculate the output y(t), using the Laplace transform properties. Isthis system, causal, stable, IIR/FIR? Is the output, causal, stable ?x(t)LTI Systemy(t)H(s)Figure 1.2)Transfer function of a linear, time invariant and stable system is given as :1H(s) =-g² – 8s + Ra) Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12.b) Calculate the impulse response h(t) of the system for R=-9 and R=12 .c) Investigate whether this system is causal, FIR/IIR for each R value given above?d) x(t) = 38(t) – e'u(-t) signal is applied to the input of this system when R=-9. Calculate theoutput of the system, y(t) using Laplace transform properties.

For R=-9 poles will be; =s2-8s-9=s-9s+1 poles are=9, -1 For R=12 =s2-8s+12=s+2s-6 poles are=-2,6

2) Transfer function of a linear, time invariant and stable system is given as : 1 H(s) = - 8s + R a) Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12. b) Calculate the impulse response h(t) of the system for R=-9 and R=12 . c) Investigate whether this system is causal, FIR/IIR for each R value given above? d) x(1) = 36(t) – e'u(-t) signal is applied to the input of this system when R=-9. Calculate the output of the system, y(t) using Laplace transform properties.

2) Transfer function of a linear, time invariant and stable system is given as : 1 H(s) = - 8s + R a) Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12. b) Calculate the impulse response h(t) of the system for R=-9 and R=12 . c) Investigate whether this system is causal, FIR/IIR for each R value given above? d) x(1) = 36(t) – e'u(-t) signal is applied to the input of this system when R=-9. Calculate the output of the system, y(t) using Laplace transform properties.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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