The derivative property can be used to simplify the computation of some Fourier transforms. Let x(t) =

Question:

The derivative property can be used to simplify the computation of some Fourier transforms. Let

x(t) = r(t) − 2r(t − 1) + r(t − 2)

(a) Find and plot the second derivative with respect to tof x(t), y(t) = d²x(t)/dt².

(b) Find X(Ω) from Y(Ω)using the derivative property.

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

Step by Step Answer:

Related Book For book-img-for-question

Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

See More Books

Question Posted: Dec 28, 2018 10:55 AM

See More Questions

A periodic signal x(t) has a period x 1 (t) = r(t) 2r(t 1) + r(t 2), T 0 = 2 (a) Find the Fourier series of z(t) = d 2 x(t)/dt 2 using the Laplace transform. Then use the derivative property to find...
List three ways in which caching can be used to speed up Web server performance.
Design a class named Person and its two subclasses named Student and Employee. Make Faculty and Staff subclasses of Employee. A person has a name, address, phone number, and email address. A student...
Use the Chain Rule to calculate d/dt (r(t)) at the value of t given. f(x, y) = x = xy, r(t) = (R R - 41), t = 4
Jean-Marc Tremblay is studying for the next accounting mid-term examination. Summarize for Jean-Marc what he should know about management functions.
Belden, Inc., acquires 30 percent of the outstanding voting shares of Sheffield, Inc., on January 1, 2020, for $312,000, which gives Belden the ability to significantly influence Sheffield. Sheffield...
Consider the situation of Example 12.10. Rather than shorting a futures contract, the U.S. firm could borrow $500 /\left(1+r_{G} ight)$ euros (where $r_{G}$ is the 90-day interest rate in...
Match each term to the correct definition. Terms: a. Flexible budget b. Flexible budget variance c. Sales volume variance d. Static budget e. Variance Definitions: 1. A summarized budget for several...
Buckley (2011) proposed the concept "global factory". What does the concept mean? What are the implications of the concept for international business? If you were to establish a firm of your own, how...
You may refer to the opening story of Tony and Suzie and their decision to start Great Adventures in AP 1-1. More of their story and the first set of transactions for the company in July are...
Find the Fourier transform of (t ) and use it to find the Fourier transforms of (a) (t 1) + (t + 1). (b) cos( 0 t). (c) sin( 0 t).
Use properties of the Fourier transform in the following problems. (a) Use the Fourier transform of cos(kÎ© 0 t)to find the Fourier transform of a periodic signal x(t) with a Fourier...
In your own words, define the following terms or symbols: (a) ; (b) ; (c) h; (d) (e) principal quantum number, n.
Use Pitts Corporation data to compute its FCFF for the next three years. Assume that growth in FCFF remains at the historical levels of 15 percent a year. The answer is (in millions): 2012 Actual...
Design a highpass filter satisfying the specification below using the frequency sampling method: \[\begin{aligned}M & =40 \\\Omega_{\mathrm{r}} & =1.0 \mathrm{rad} / \mathrm{s} \\\Omega_{\mathrm{p}}...
You have just deposited $1000 in an unusual bank account that pays interest biannually (once every 2 years). If the 2-year interest rate is 10% (total interest over 2 years is 10%, not 10% per year),...
Determine the moment of inertia of a homogeneous circular corona, of surface density $\sigma=1.25$ $\mathrm{kg} \mathrm{m}^{-2}$, with inner radius $r_{1}=0.30 \mathrm{~m}$ and outer radius...
Find an $N$ th-order AR approximation for the ARMA system \[H(z)=\frac{1-1.5 z^{-1}}{1+0.5 z^{-1}}\] and compare the resulting magnitude response to the original ARMA system. Observe that in this...
Consider the system shown in Fig. P6.86. The rope and pulley have negligible mass, and the pulley is frictionless. Initially the 6.00-kg block is moving downward and the 8.00-kg block is moving to...
When is the indirect pattern appropriate, and what are the benefits of using it?
Assuming it is possible to sort n numbers in O(nlogn) time, show that it is possible to solve the three-way set disjointness problem in O(nlogn) time.
Describe an efficient algorithm for finding the ten largest elements in an array of size n. What is the running time of your algorithm?
Give an example of a positive function f (n) such that f (n) is neither O(n) nor (n).
A client required an IP address from DHCP server, please list the steps of the DHCP process?
Bijan's pipelined processor features separate instruction and data caches. The instruction cache (I-cache) has a single level and the data cache (D-cache) has two levels, as shown in the figure...
Peter opened a brokerage account to sell short 1,200 shares of Carb Farm stock at the current market price of $160 per share. The brokerage firm charges 12% per annum on the margin loan. a. Suppose...

The derivative property can be used to simplify the computation of some Fourier transforms. Let x(t) =

Question:

Step by Step Answer:

ab We have and from the last equation and the derivativ...View the full answer

Signals and Systems using MATLAB

Students also viewed these Computer science questions