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4. Compute the following convolutions. Give your answer in equation form and as a plot. Note that it is not necessary to compute any integrals! a. fo(t) = u(t) * [8(t) – 48(t – 1) + 38(t – 3)] b. f1(t) = [u(t + 1) – u(t – 1)] * 8(t + 2) * 8(t – 5) %3D

4. Compute the following convolutions. Give your answer in equation form and as a plot. Note that it is not necessary to compute any integrals! a. fo(t) = u(t) * [8(t) – 48(t – 1) + 38(t – 3)] b. f1(t) = [u(t + 1) – u(t – 1)] * 8(t + 2) * 8(t – 5) %3D

Introductory Circuit Analysis (13th Edition)
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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### Problem 4: **Compute the following convolutions. Give your answer in equation form and as a plot. Note that it is not necessary to compute any integrals!** #### a. \[ f_0(t) = u(t) * [\delta(t) - 4\delta(t-1) + 3\delta(t-3)] \] #### b. \[ f_1(t) = [u(t+1) - u(t-1)] * \delta(t+2) * \delta(t-5) \] --- **Key to Symbols:** - \( u(t) \): Unit step function - \(\delta(t)\): Dirac delta function - \( * \): Convolution operator **Instructions:** 1. Compute the convolution for each given equation. 2. Provide the resulting expression. 3. Sketch the plot for each computed convolution. Note: Detailed descriptions for calculations and plots are necessary for full understanding.
Transcribed Image Text:### Problem 4: **Compute the following convolutions. Give your answer in equation form and as a plot. Note that it is not necessary to compute any integrals!** #### a. \[ f_0(t) = u(t) * [\delta(t) - 4\delta(t-1) + 3\delta(t-3)] \] #### b. \[ f_1(t) = [u(t+1) - u(t-1)] * \delta(t+2) * \delta(t-5) \] --- **Key to Symbols:** - \( u(t) \): Unit step function - \(\delta(t)\): Dirac delta function - \( * \): Convolution operator **Instructions:** 1. Compute the convolution for each given equation. 2. Provide the resulting expression. 3. Sketch the plot for each computed convolution. Note: Detailed descriptions for calculations and plots are necessary for full understanding.
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