Suppose you want to find a reasonable sampling period T s for the non causal exponential x(t) e t (a) Find the Fourier transform of x(t), and plot X() Is x(t) band limited Use the symbolic function fourier to find the Fourier transform (b) Find a frequency 0 so that 99 of the energy of the signal i...

a The Fourier transform is xt is not bandlimited the freq ...

Suppose you want to find a reasonable sampling period T s for the non-causal exponential x(t)= e

Question:

Suppose you want to find a reasonable sampling period T_s for the non-causal exponential x(t)= e^−|t|.

(a) Find the Fourier transform of x(t), and plot |X(Ω)|. Is x(t) band-limited? Use the symbolic function fourier to find the Fourier transform.

(b) Find a frequency Ω₀ so that 99% of the energy of the signal is in –Ω_o ≤ Ω ≤ Ω_o.

(d) Determine the magnitude and bandwidth of an anti-aliasing filter that would change the original signal into the band-limited signal with 99% of the signal energy.

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 11:40 AM

See More Questions

Three laws in the computation of sums are for any permutation p(k) of the set of integers k in the summation. (a) Explain why the above rules make sense when computing sums. To do that consider Let c...
Suppose you want to find documents that contain at least k of a given set of n keywords. Suppose also you have a keyword index that gives you a (sorted) list of identifiers of documents that contain...
Consider the problem of generating a random sample Iron, a specified distribution on a single variable. You can assume that a random number generator is available that returns a random number...
For Table 24.1, suppose you think that you omitted a relevant variable, physicians per capita. Would this harm your results for S or H? Explain your view. Table 24.1 (Model 1) The Effect of Community...
Record the following transactions on the books of Hope Hospital, which follows FASB (not-for-profit) and AICPA standards. The year is 2017. 1. Hope received $32,000 in cash from pledges made in the...
Exploring Vero Beachs Financial Report Refer to the financial statements of the City of Vero Beach in Chapter 3 and to Table 81. 1. What amount did Vero Beach report in its government-wide statements...
4.0
Coppola, who collected coins, joined a coin club, First Coinvestors, Inc. The club would send coins to its members, who were to pay for them or return them within 10 days. What was the nature of the...
2. Kiki Inc., which closes its books on December 31, is authorized to issue $600,000 of 8%, 10-year bonds dated January 1, 2016, with interest payments on January 1. REQUIRED: Present general journal...
Based on Exhibit 1, the probability of Orion defaulting on the bond during the first three years is closest to: A. 1.07%. B. 2.50%. C. 3.85%. John Smith, a fixed-income portfolio manager at a 10...
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...
Signals of finite time support have infinite support in the frequency domain, and a band-limited signal has infinite time support. A signal cannot have finite support in both domains. (a) Consider...
Search the Internet for some online posts from consumers describing Walmart shopping experiences. An experience that amounts to a complaint qualifies as relevant. Make sure the descriptions contain...
Think back to a time you experienced a communication breakdown in a personal or social setting (something you're comfortable discussing with the class in a public forum). 1. Did you figure out why...
Imagine you are visiting your aunt, who is a patient in a hospital in a nearby city. While you are sitting at her bedside, you hear a lot of noise at the nurses' station, as if they are having a...
Using Houseplan #5 on page 4 of the Measurement supplement(below), determine the cost of pouring the 9 inch thick concreteslab for this home, assuming that the porch will also be on thefoundation....
Recall from lecture that Flip-Flap Railway is an old roller coaster that was built in a circle. It has a diameter of 25 ft and riders entered the ride at a speed of 45 mph. At the top of the loop,...
Small Fry Design, founded in 1997, is a toy and accessories company that designs and imports products for children. The company's line of merchandise includes teddy bears, musical toys, rattles and...
Why might oligopolists charge less than their short-run profit-maximizing price when threatened by entry?
Transform the while loop from the previous exercise into an equivalent for loop (make sure it produces the same output).
Find the total number of channels in the corresponding band allocated by FCC. a. AM b. FM
Find the bandwidth for the following situations if we need to modulate a 5-KHz voice. a. AM b. FM ( = 5) c. PM ( = 1)
A cable company uses one of the cable TV channels (with a bandwidth of 6 MHz) to provide digital communication for each resident. What is the available data rate for each resident if the company uses...
The rate of return on Cherry Jalopies, Inc., stock over the last five years was 14 percent, 11 percent, 4 percent, 3 percent, and 7 percent. What is the geometric return for Cherry Jalopies, Inc.?
U.S. GAAP specifies all of the following characteristics of variable interest entities except: A. Equity holders hold less than 5% of the entitys voting stock. B. Equity holders do not have voting...
Rank the following three stocks by their risk-return relationship, best to worst. Night Ryder has an average return of 10 percent and standard deviation of 27 percent. The average return and standard...

Suppose you want to find a reasonable sampling period T s for the non-causal exponential x(t)= e

Question:

Step by Step Answer:

a The Fourier transform is xt is not bandlimited the freq...View the full answer

Signals and Systems using MATLAB

Students also viewed these Computer science questions