The relationship between input signal x (t) and output signal y (t) is for a linear time-invariant (LTI) system in a continuous time given by the following differential equation d?y(t) dy(t) :- 2y(t) = x(t) dt2 dt a-) Determine the Laplace transform H (s) of the impulse response and plot the pole-zero. b-) Plot the regions of convergence (ROC) for the following situations. i. The system is stable. ii. The system is causal. iii. The system is not stable or causal. c-) Determine h (t) for the case where the system is causal.

The relationship between input signal x (t) and output signal y (t) is for a linear time-invariant (LTI) system in a continuous time given by the following differential equation d?y(t) dy(t) :- 2y(t) = x(t) dt2 dt a-) Determine the Laplace transform H (s) of the impulse response and plot the pole-zero. b-) Plot the regions of convergence (ROC) for the following situations. i. The system is stable. ii. The system is causal. iii. The system is not stable or causal. c-) Determine h (t) for the case where the system is causal.

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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