Given the anti causal signal x n n u n (a) Determine its Z transform X(z), and carefully plot the ROC when 0 5 and 2 For which of the two values of does X(e j ) exist (b) Find the signal that corresponds to the derivative dX(z) dz Express it in terms of ...

a The signal xn can be written as So that its Ztransform is given by ...

Given the anti-causal signal x[n]= n u[n] (a) Determine its Z-transform X(z), and carefully plot the

Question:

Given the anti-causal signal x[n]= −αⁿ u[−n]

(a) Determine its Z-transform X(z), and carefully plot the ROC when α = 0.5 and α = 2. For which of the two values of α does X(e^jω) exist?

(b) Find the signal that corresponds to the derivative dX(z)/dz. Express it in terms of α.

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 11:29 AM

See More Questions

Given the causal full-wave rectified signal x(t) = sin(2t)u(t) (a) Find the even component of x(t), call it x e (t) and plot it. Is x e (t) periodic? if so, what is its fundamental period T e ? Would...
The following problems relate to linearity, time-invariance, causality, and stability of discrete-time systems. (a) The output y[n] of a system is related to its input x[n] by y[n] = x[n]x[n 1]. Is...
A periodic signal x[n] of fundamental period N can be represented by its Fourier series If you consider this a representation of x[n] (a) Is x 1 [n] = x[n N 0 ] for any value of N 0 periodic? If so...
What levels of visibility may be assigned to an attribute or an operation?
Develop a user-friendly program for Brent's root location method based on Fig. 6.12. Test it by solving Prob. 6.6.
Mikkeli OY acquired a brand name with an indefinite life in 2021 for 40,000 markkas. At December 31, 2020, the brand name could be sold for 35,000 markkas, with zero costs to sell. Expected cash...
For each of the following situations, calculate the $t$-statistic $(t)$ : a. $\mathrm{X}^{-}=12.00 ; \mu=10 ; s \mathrm{X}^{-}=2.00$ b. $X^{-}=6.00 ; \mu=9 ; s X^{-}=1.50$ c. \(X^{-}=4.25 ;...
The town council of Riverside met in December 2011. The council estimated revenues for 2012 to be $750,000 from property taxes and $150,000 from business licenses. The appropriations budget from the...
List the major traditional banks in Canada? 2. What other options for Canadian banking are there besides the "Big 5 "? 3. What is your preferred Canadian banking option? Name of institution: Bank of...
Complete the following payroll register for employees of Corby Company for the week ended March 1. Taxable earnings should be computed on the basis of a 40-hour week with overtime earnings being paid...
An analog pulse x(t) = u(t) u(t 1) is sampled using a sampling period T s = 0.1. (a) Obtain the discrete-time signal x(nT s ) = x(t)| t=nTs and plot it as a function of nT s (b) If the sampled signal...
The sign functionextracts the sign of a real valued signal, i.e., (a) Let s[n] = s 1 [n] + s 2 [n], x[n] = n, where s 1 [n] is causal and s 2 [n] anti-causal; find their Z-transforms and indicate the...
Margos Memories, a company that specializes in photography and creating family and group photo portfolios, has 50 stores in major malls around the U.S. The company is considering an online business,...
Derive an expression for each of the following that is, as much as possible, in terms of measurable properties: and C V , and their partial derivatives with respect to each other. S can appear in the...
A motor vehicle which cost 12,000 was bought on credit from Trucks Ltd on 1 January 2013. Financial statements are prepared annually to 31 December and depreciation of vehicles is provided at 25 per...
J. Wright, a sole trader, extracted the following trial balance from his books at the close of business on 31 March 2016: Required: Prepare the statement of profit or loss for the year ending 31...
On 1 January 2015 a business purchased a laser printer costing 1,800. The printer has an estimated life of four years after which it will have no residual value. It is expected that the output from...
On 10 August 2013 Joblot, a computer software retailer, bought a non-current asset which cost 100,000. It had an anticipated life of four years and an estimated residual value of 20,000. Due to...
On 1.2.2003 Marjon commenced a business dealing in fashion wear. She paid 35,000 into the business bank account and the following transactions took place during the first fortnight of February. 1st...
The unadjusted trial balance of Secretarial Services is as follows: SECRETARIAL SERVICES Unadjusted Trial Balance as at 31 December 2017 Account Debit Credit Cash at bank Office supplies Prepaid...
If the approach described in the previous problem were implemented as part of the TreeMap class, what additionalmodifications (if any) would be necessary to a subclass such as AVLTreeMap in order to...
Suppose we wish to support a new method countRange(k 1 , k 2 ) that determines how many keys of a sorted map fall in the specified range. We could clearly implement this in O(s + h) time by adapting...
For a key k that is not found in binary search tree T, prove that both the greatest key less than k and the least key greater than k lie on the path traced by the search for k.
1. A clothes dryer rates at 4000 W runs for 1.50 hours each day. it uses utility power at 240 V. how much current does the dryer use? 2. For the clothes dryer in the previous question, how much does...
A particle undergoing simple harmonic motion has a potential energy given by E/J=3(y/m) as it oscillates back and forth along the y-axis. When the y-coordinate of the particle is 0.75 m, what is the...
A 480-g iron pan is heated on a stove to a temperature of 130 C. The pan is then dropped into a partially-filled sink of water at 20 C. The final temperature reached by the sink and the pan is 40 C....

Given the anti-causal signal x[n]= n u[n] (a) Determine its Z-transform X(z), and carefully plot the

Question:

Step by Step Answer:

a The signal xn can be written as So that its Ztransform is given by ...View the full answer

Signals and Systems using MATLAB

Students also viewed these Computer science questions