a) I am a continuous-time signal æ(t). When you convolute me with any other continuous-time signal v(t) then the result will be v(t) itself. Who am I?

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...
icon
Related questions
Question
a) I am a continuous-time signal x(t). When you convolute me with any other continuous-time
signal v(t) then the result will be v(t) itself. Who am I?
b) Let A € R4. Define the set Sa to be the set of all continuous-time signals x(t) whose Fourier
Transform X (w) is zero for lw| > AT. I am a signal from SA . When you convolute me with
any other signal v(t) E Sa then the result will be v(t) itself. Who am I?
c) Let SĄ be defined as in part b). Consider a signal æ(t) of finite duration in the time domain.
Then there exists no A e R, such that x(t) E SA. Show that this statement is true.
Transcribed Image Text:a) I am a continuous-time signal x(t). When you convolute me with any other continuous-time signal v(t) then the result will be v(t) itself. Who am I? b) Let A € R4. Define the set Sa to be the set of all continuous-time signals x(t) whose Fourier Transform X (w) is zero for lw| > AT. I am a signal from SA . When you convolute me with any other signal v(t) E Sa then the result will be v(t) itself. Who am I? c) Let SĄ be defined as in part b). Consider a signal æ(t) of finite duration in the time domain. Then there exists no A e R, such that x(t) E SA. Show that this statement is true.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Routh Hurwitz Criteria
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)
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,