Consider a DT LTI system A with impulse response h1(t) = u(t). For input x(t), the systemoutput is y1(t).(a) If an LTI system B has impulse response h2(t) = 2u(t−2). For the same input x(t), whatis the system B output y2(t), express in terms of y1(t) ?(b) If for the LTI system B above, the input signal change to x(t) − x(t + 2), what is thesystem B output y3(t), in terms of y1(t)?(c) If an LTI system C has the impulse response h3(t) = u(t) − 2u(t − 2), for the same inputx(t), what is the system C output y4(t)?(i) y1(t) ∗ u(t − 2)(ii) y1(t) − 2y1(t − 2)(iii) y1(t) + y1(t − 2)(iv) y1(t − 2) ∗ u(t) Consider a DT LTI system A with impulse response h₁(t) = u(t). For input x(t), the systemoutput is y₁(t).(a) If an LTI system B has impulse response h2(t) = 2u(t − 2). For the same input x(t), whatis the system B output 12(t), express in terms of y₁(t) ?(b) If for the LTI system B above, the input signal change to x(t) - x(t + 2), what is thesystem B output y3(t), in terms of y₁(t)?-(c) If an LTI system C has the impulse response h3(t) = u(t) − 2u(t − 2), for the same inputx(t), what is the system C output y₁(t)?(a) y1(t)u(t − 2)(b) y1(t) - 2y1(t − 2)(c) y1(t) + y₁(t − 2)-(d) y₁(t − 2) * u(t)

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Answered: Consider a DT LTI system A with impulse…

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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Related questions

Question

Consider a DT LTI system A with impulse response h1(t) = u(t). For input x(t), the system
output is y1(t).

(a) If an LTI system B has impulse response h2(t) = 2u(t−2). For the same input x(t), what
is the system B output y2(t), express in terms of y1(t) ?

(b) If for the LTI system B above, the input signal change to x(t) − x(t + 2), what is the
system B output y3(t), in terms of y1(t)?

(c) If an LTI system C has the impulse response h3(t) = u(t) − 2u(t − 2), for the same input
x(t), what is the system C output y4(t)?
(i) y1(t) ∗ u(t − 2)
(ii) y1(t) − 2y1(t − 2)
(iii) y1(t) + y1(t − 2)
(iv) y1(t − 2) ∗ u(t)