ligh-pass Butterworth filters have transfer functions of the form HH(s) = + k Dn(s) where n is the order of the filter, D,(s) denotes the n - th order polynomial from Table 16.3-2 and k is the pass-band gain. The transfer function hird order high-pass Butterworth filter having a cutoff frequency equal to 200 rad/s and a pass-band gain equal to 3 can be represented as HH(s) s + p + ajs + ao where bo, P, a1 and a, represent real constants. Determine the values of these constants. p = aj = and ao =

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
High-pass Butterworth filters have transfer functions of the form
+ k
Dn(s)
HH(s) =
where n is the order of the filter, D,(s) denotes the n - th order polynomial from Table 16.3-2 and k is the pass-band gain. The transfer function of a
third order high-pass Butterworth filter having a cutoff frequency equal to 200 rad/s and a pass-band gain equal to 3 can be represented as
bos
s + a1s + ao
HH(s) =
+ p
where bo, P, a, and an represent real constants. Determine the values of these constants.
bo
p =
a1 =
and ao =
=
Transcribed Image Text:High-pass Butterworth filters have transfer functions of the form + k Dn(s) HH(s) = where n is the order of the filter, D,(s) denotes the n - th order polynomial from Table 16.3-2 and k is the pass-band gain. The transfer function of a third order high-pass Butterworth filter having a cutoff frequency equal to 200 rad/s and a pass-band gain equal to 3 can be represented as bos s + a1s + ao HH(s) = + p where bo, P, a, and an represent real constants. Determine the values of these constants. bo p = a1 = and ao = =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Infinite Impulse Response (IIR) and Finite Impulse Response (FIR) Filter
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
  • SEE MORE 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,