We consider a filter given in the frequency domain– the so-called transfer function of the filter. Our filter shall be a symmetric low-pass filter of the boxcar type. Let ωc denote the cutoff frequency. Based on this information, derive a formula for the filter in the time-domain, the so-called impulse-response function of the filter.

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
icon
Concept explainers
Question
100%

We consider a filter given in the frequency domain– the so-called transfer function of
the filter. Our filter shall be a symmetric low-pass filter of the boxcar type. Let ωc denote the
cutoff frequency. Based on this information, derive a formula for the filter in the time-domain,
the so-called impulse-response function of the filter.

Expert Solution
Step 1: Summary of the question

According to the question, we need to derive the impulse response of the low-pass filter.

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

The formula above should include a so-called sinc function (sinus cardinalis function).
Use any available resource to find a formula that performs interpolation by means of the sinc function, and Explain why it can be useful to do sinc interpolation.

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Types of Filter and Its Properties
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,