Given the step response for a second-order Butter worth filter as in Problem 2.65c, use the superposition

Question:

Given the step response for a second-order Butter worth filter as in Problem 2.65c, use the superposition and time-in-variance properties of a linear time-invariant system to write down the filter??s response to the input

Problem 2.65c

x(t) = u(t) - 2u (t - T) + u(t - 2T)

where u(t) is the unit step. Plot as a function of t/T for (a) f₃T= 20 and (b) f₃T = 2.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

See More Books

Question Posted: Sep 18, 2018 11:53 AM

See More Questions

(a) Show that the frequency response function of a second-order Butter worth filter is where f 3 is the 3-dB frequency in hertz. (b) Find an expression for the group delay of this filter. Plot the...
A process is described by the transfer function (a) Calculate and plot response y(t) to a step change in input u(r) of magnitude M when M = 2, K = 3, and ? = 3. (b) What would be the step response if...
The overall transfer function of a process is given by (a) What is the overall gain of 0?(b) For a first-order system, the time constant is the time for a step change M when y reaches 63.2% of the...
Determine whether each function is one-to-one. If it is, find the inverse. f(x) = 4x - 1
Suppose that Calvin considers Pepsi and Coke to be perfect substitutes. They taste the same to him, and he gets exactly the same amount of enjoyment from drinking a can of Pepsi or a can of Coke. a....
Which managerial characteristics do each of these managerial lessons relate to? LO1
11. Verify the binomial calculations in Figure 3.
Greene Sisters has a DSO of 20 days. The companys average daily sales are $20,000. What is the level of its accounts receivable? Assume there are 365 days in a year.
Hartman Motors has $20 million in assets, which were financed with $4 million of debt and $16 million in equity. Hartman's beta is currently 1.9, and its tax rate is 40%. Use the Hamada equation to...
A ride hailing company has their DB structured in 3 major tables as described in the SCHEMA section below. Write a query to fetch the top 100 users who traveled the most distance using the service....
A channel of bandwidth 4 kHz is available. Determine the data rate that can be accommodated for the following line codes (assume a bandwidth to the first spectral null): (a) NRZ change; (b) Split...
Using the superposition and time-in-variance properties of an RC filter, show that (5.27) is the response of a low pass RC filter to (5.26) given that the filters response to a unit step is [1 - exp...
During the preparation of the bank reconciliation for The Image Co., Chris Renees, the assistant controller, discovered that Empire National Bank incorrectly recorded a $936 check written by The...
What is judgement sampling?Explain with a suitable example.
What is convenience sampling?Explain with a suitable example.
Customer Distribution Channels (all amounts in thousands of U.S. Dollars) Wholesale Customers Retail Customers Total Total N. America S. America Total Wholesale Wholesaler Wholesaler Retail Green...
MA Assignment 3 Motor Tyres manufactures one size of tyre in each of its production lines. The following information relates to one production line for the most recent period. The company uses the...
Describe an operational unit within an organization, and define the mission statement, goals, and operational objectives for the unit. The operational unit should be an organization they would like...
In the diagram below, ABCD is a sector of a circle with centre B and radius 5 m. Given that the length of the arc ADC is 15/4 m, find a) The exact size of angle ABC in radians b) The exact area of...
If a force of F = 50 Ib is applied to the pads at A and C, determine the smallest dimension d required for equilibrium if the spring has an unstretched length of 1 ft. B 1 ft 1 ft F k = 15016/fr 1ft...
Determine the signs (positive, negative, or zero) of the position, velocity, and acceleration for the particle in FIGURE Q1.8. Figure Q1.8
FIGURE EX1.9 shows five points of a motion diagram. Use Tactics Box 1.3 to find the average acceleration vectors at points 1, 2, and 3. Draw the completed motion diagram showing velocity vectors and...
A speed skater accelerates from rest and then keeps skating at a constant speed. Draw a complete motion diagram of the skater?
Indicate whether the following managerial policy increases the risk of a death spiral:Use of low operating leverage for productionGroup of answer choicesTrueFalse
It is typically inappropriate to include the costs of excess capacity in product prices; instead, it should be written off directly to an expense account.Group of answer choicesTrueFalse
Firms can avoid the death spiral by excluding excess capacity from their activity bases. Group of answer choicesTrueFalse

Given the step response for a second-order Butter worth filter as in Problem 2.65c, use the superposition

Question:

2n f3 27 f3 + sin V2 2n f3 Ys (t) 1 — еxp u (t) COS V2 V2

Step by Step Answer:

The step response is given in Problem 265c as The specified input is ...View the full answer

Principles of Communications Systems, Modulation and Noise

Students also viewed these Physics questions