1.| Given the following two continuous-time signalsX,(t) %3D Л(t + 2) + Пх2(t) 3D и(t + 1) — и(t — 2) + Пt - 3)a) Sketch and label the signal x, (t)b) Sketch and label the signal x2(t)c) Sketch and label the sum of the two signals x3(t) = x,(t) + x2(t)d) Sketch and label the product of the two signals x4(t) = x1(t) · x2(t)

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1. | Given the following two continuous-time signals x1(t) = A(t + 2) + I| x2(t) = u(t + 1) – u(t – 2) + II(t – 3) a) Sketch and label the signal x1(t) b) Sketch and label the signal x2(t) c) Sketch and label the sum of the two signals x3(t) = x,(t) + x2(t) d) Sketch and label the product of the two signals x4(t) = x,(t) · x2(t)

1. | Given the following two continuous-time signals x1(t) = A(t + 2) + I| x2(t) = u(t + 1) – u(t – 2) + II(t – 3) a) Sketch and label the signal x1(t) b) Sketch and label the signal x2(t) c) Sketch and label the sum of the two signals x3(t) = x,(t) + x2(t) d) Sketch and label the product of the two signals x4(t) = x,(t) · x2(t)

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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2. Let f(t) = (u(t – 6) - u(t – 15))(t – 12)/6- (u(t – 15) – u(t – 24))(t – 24)/18, teR. %3D Plot f(t), f(-t), f(t+6), f(3t), f(t/2). 3. Find and sketch the derivative of f(t) = -(u(t + 4) – u(t))t + (u(t) – u(t – 2))t. 4. Find and sketch f(s)ds, t e R, where f(s) = u(s) – 2u(s – 1) + u(s – 3) + 8(s – 3) %3D and d is the Dirac impulse (delta) function. 5. Find and sketch the odd and even components of the following functions r(t) = sin(wot)u(t) y(t) = cos(wot) for t eR and real wo >0.
Q3)Given the signalx(t) as below. And the signal y(t) is derived as Y(t)=x(t+1)+x(0.5t-1.5)-x(2t-1) X(t) a) Find and draw y(t) 1 -1 b) find the total energy of y(t) -1 1
4. Sketch the following functions a. u(t) the unit step function b. 8(t) the delta dirac function c. cos(t) d. u(t)cos(t)
Rewrite the following function in a suitable way and sketch the function.
Now consider the following continuous-time system with input and output specified sepa- rately, where u(t) is the unit step function: r(t) = u(t) + 2u(t- 2) y(t) = u(t)(1 – e-) + u(t – 2)(2 – 2e-(t-2) %3D (d) Is this system linear, and why?