Convolution is a mathematical operation that expresses a relationship between an input signal, the output signal, and the impulse response of a linear-time invariant system. Three systems that represented by the impulse response, h[n], h2[n] and hz[n] are connected in series as shown in Figure Q2(a), where x[n] and y[n] are the input and output signals respectively. The impulse response functions of each system are represented by equation (1), (2) and (3). h[n] = nu[n + 4] – nu[n – 2] (1) h2[n] = d[n – 2] (2) hz[n] = 6[n + 3] – 28[n – 1] (3) | x[n] h, [n] h2[n] hz[n] →y[n] Figure Q2(a) (а) Using the convolution, sketch the output response of y[n] if the input signal is given by x[n] = 8[n].
Convolution is a mathematical operation that expresses a relationship between an input signal, the output signal, and the impulse response of a linear-time invariant system. Three systems that represented by the impulse response, h[n], h2[n] and hz[n] are connected in series as shown in Figure Q2(a), where x[n] and y[n] are the input and output signals respectively. The impulse response functions of each system are represented by equation (1), (2) and (3). h[n] = nu[n + 4] – nu[n – 2] (1) h2[n] = d[n – 2] (2) hz[n] = 6[n + 3] – 28[n – 1] (3) | x[n] h, [n] h2[n] hz[n] →y[n] Figure Q2(a) (а) Using the convolution, sketch the output response of y[n] if the input signal is given by x[n] = 8[n].
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...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,