Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Determine and sketch the output.

Determine and sketch the output.

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...
See similar textbooks
icon
Related questions
Question
Consider a causal LTI system. When the input is \( x_0(t) = u(t-4) \), the Laplace transform of the output is \[ Y_0(s) = \frac{e^{-5s} - e^{-8s}}{s^2}. \] **Determine and sketch** the output of the system \( y(t) \) when the input is changed to \[ x(t) = u(t) - u(t-6). \] Try both of the following two methods: - **Method 1:** Find the system transfer function \( H(s) = Y_0(s)/X_0(s) \) from the input-output pair \((x_0(t), y_0(t))\), and then determine the Laplace transform \( Y(s) = H(s)X(s) \) of the output \( y(t) \). - **Method 2:** Express \( x(t) \) as a linear combination of some time-shifted copies of \( x_0(t) \), and then use the LTI properties to find \( Y(s) \) or \( y(t) \). Which one of the above two methods do you prefer in solving this problem?
Transcribed Image Text:Consider a causal LTI system. When the input is \( x_0(t) = u(t-4) \), the Laplace transform of the output is \[ Y_0(s) = \frac{e^{-5s} - e^{-8s}}{s^2}. \] **Determine and sketch** the output of the system \( y(t) \) when the input is changed to \[ x(t) = u(t) - u(t-6). \] Try both of the following two methods: - **Method 1:** Find the system transfer function \( H(s) = Y_0(s)/X_0(s) \) from the input-output pair \((x_0(t), y_0(t))\), and then determine the Laplace transform \( Y(s) = H(s)X(s) \) of the output \( y(t) \). - **Method 2:** Express \( x(t) \) as a linear combination of some time-shifted copies of \( x_0(t) \), and then use the LTI properties to find \( Y(s) \) or \( y(t) \). Which one of the above two methods do you prefer in solving this problem?
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Frequency Modulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS