A signal x(t) is defined as x(t) = r(t + 1) r(t) 2u(t) + u(t 1). (a)

Question:

A signal x(t) is defined as x(t) = r(t + 1) ˆ’ r(t) ˆ’2u(t) + u(t ˆ’ 1).

(a) Plot x(t) and indicate where it has discontinuities. Compute y(t) = dx(t)/dt and plot it. How does it indicate the discontinuities? Explain.

(b) Find the integral

| y(t)dr пр(2)d

and give the values of the integral when t = ˆ’1, 0, 0.99, 1.01, 1.99, and 2.01. Is there any problem with calculating the integral at exactly t = 1 and t = 2? Explain.

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 27, 2018 06:04 AM

See More Questions

Let ¤ t ¤ 1 ¤ t ¤ 1, and zero otherwise, be the input to a 2 bit analog-to-digital converter. (a) For a sampling period T s = 0.025 sec. determine and plot using MATLAB...
Signal energy and RC circuitThe signal x(t) = e £t £ is defined for all values of t. (a) Plot the signal x(t) and determine if this signal is finite energy. (b) If you determine that x(t)...
Consider the signal x(t) in Figure 1.21. (a) Plot the even-odd decomposition of x(t), i.e., find and plot the even x e (t) and the odd x o (t) components of x(t). (b) Show that the energy of a signal...
A projectile launcher fires a marble of mass 2 5 grams perfectly vertical. The launcher uses a spring with a constant, k , of 6 0 . 0 Newtons / meter . If the spring is depressed 1 5 centimeters and...
True or false: Portfolio diversification is affected by the volatility of the returns of the individual investments in the portfolio as well as by the correlation among the returns. Explain.
Adams DJ Services has three employees who work on an hourly basis and are paid weekly. The current CPP rate is 4.95%; the current EI rate is 1.88%; and the appropriate income tax rate is 23%. Each...
For each of the following situations, calculate a $95 \%$ confidence interval for the mean ( $\sigma$ known), beginning with the step, "Identify the critical value of $z$." X = 7.00, o Xe =...
Balfour Corp. has the following operating results and capital structure ($000). The firm is contemplating a capital restructuring to 60% debt. Its stock is currently selling for book value at $25 per...
13. On August 31, Home Depot sold materials for $6,000 cash that is subject to a 5% sales tax. Home Depot is required by law to collect and send sales taxes to the state. On December 31, Home Depot...
Crossway Rental Companys unadjusted and adjusted trial balances at June 30, 2018, follow: Requirements 1. Make the adjusting entries that account for the differences between the two trial balances....
The signal can be written as x(t) = £t£p(t). (a) Carefully plot x(t) and define p(t), then find y(t) = dx(t)/dt and carefully plot it. (b) Calculate and comment on how your result relates...
Let x(t) = t[u(t) u(t 1)], we would like to consider its expanded and compressed versions. (a) Plot x(2t) and determine if it is a compressed or expanded version of x(t). (b) Plot x(t/2) and...
Why wouldnt gabbro be a likely source rock for an arkose sandstone?
What are the six main cultural dimensions analyzed in the Hofstede framework?
Clarice became very ill in February of 2017 and was unable to work the rest of the year. She had only $12,000 of income from her sole proprietorship for the time she worked and was forced to sell the...
A Budgetary Fund BalanceAssigned for Encumbrances in excess of a balance of Encumbrances Control indicates a. An excess of vouchers payable over encumbrances. b. An excess of purchase orders over...
The Kluckhohn-Strodtbeck framework studies culture along what dimensions?
Taylor bought 10,000 shares of qualifying Section 1202 stock from a start-up company A on May 1, 2013 for $1,000,000 and 5,000 shares of Section 1202 stock from start-up company B on June 1, 2014 for...
The number of visits (in millions) on a Web site is recorded every day. The following table shows the samples for 25 consecutive days. (a) Estimate the process standard estimation. (b) Set up a CUSUM...
In a nonmagnetic medium, E = 50 cos (10 9 t 8x) a y + 40 sin (10 9 t 8x) a z V/m find the dielectric constant r and the corresponding H.
The signal at the input of an AM receiver is u(t) = m 1 (t) cos(20t) + m 2 (t) cos(100t) where the messages m i (t), i = 1; 2 are the outputs of a lowpass Butterworth filter with inputs x 1 (t) =...
Suppose we would like to send the two messages mi(t), i = 1; 2, created in Problem 12 using the same bandwidth and to recover them separately. To implement this consider the QAMapproach where the...
The input of an LTI continuous-time system is x(t) = u(t) - u(t 3.5). The systems impulse response is h(t) = u(t) - u(t 2.5). (a) Find the systems output y(t) by graphically computing the...
1. How many meters are there in 110 yards? 2. What is the equivalent length in inches of 2.5 m? 3. The weight of an object is 2.5 lb. What is the equivalent force and mass in the SI system of units?
An object is moving on a circular path of radius 3 . 0 meters at a constant speed. The time re revolution is 4 . 7 s. What is the acceleration of the object?
If the emitted infrared radiation from the asteroid Ceres, have a wavelength of maximum intensity at 20,000 nm, what is the temperature of Ceres assuming Wien's Law?

A signal x(t) is defined as x(t) = r(t + 1) r(t) 2u(t) + u(t 1). (a)

Question:

| y(t)dr пр(2)d

Step by Step Answer:

a The signal xt is there are discontinuities a...View the full answer

Signals and Systems using MATLAB

Students also viewed these Computer science questions