The input to a causal linear time-invariant system is x[n] = u[?n ? 1] + (1/2) n

Question:

The input to a causal linear time-invariant system is

x[n] = u[?n ? 1] + (1/2)ⁿu[n].

The z-transform of the output of this system is?

(a) Determine H(z), the z-transform of the system impulse response. Be sure to specify the region of convergence.

(b) What is the region of convergence for Y(z)?

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

Step by Step Answer:

Related Book For book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

See More Books

Question Posted: May 26, 2011 02:55 AM

See More Questions

The input to a linear filter is a random process with the following autocorrelation function: The impulse response of the filter is of the same form and is Determine the autocorrelation function of...
The input to a communications receiver is r(t) = 5 sin(20t + 7 /4 ) + (t) + n(t) where i(t) = 0.2 cos (60t) and n(t) is noise having standard deviation n = 0.1. The transmitted signal is 10...
The input to a filter consists of a half- sinusoidal pulse plus zero- mean white Gaussian noise. (a) Suppose the impulse response of the filter is rectangular, h (t) = rect (t / ta). What should the...
Which is the most effective means of motivating trainees for a training program? a. Pay extra for training time. b. Require the training only for newly hired workers. c. Explain why the training is...
The time T required for one complete oscillation of a mass m on a spring of force constant k is T = 2 m/k Find the dimensions k must have for this equation to be dimensionally correct.
Figure P12.1 shows several snapshots of a wave pulse as it travels along a string. Estimate the speed of the wave pulse. Figure P12.1 ? (m) t = 0 0.2 x (m) 10 40 50 60 70 -0.2 0.2 _t = 1 s x (m) 10...
6 Para medir los resultados de una red social , cules son: a) las ventajas y b) las desventajas de las medidas de desempeo vinculadas directamente con los ingresos frente a los costos?
In each of the following independent situations, indicate whether the alternate valuation date can be elected. Explain why or why not. All deaths occur in 2015. Value of Gross Estate Estate Tax...
Which of the following stocks would most likely be classified as a growth stock? a. Stock A: P/E Ratio = 10 b. Stock B: P/E Ratio = -10 c. Stock C: P/E Ratio = 22 d. Stock D: P/E ratio = 220
Subpump Limited is an active business corporation owned 100% by George Simpson, who has been attempting to sell the company for several years and have recently received an offer from a serious buyer....
Following are several z-transforms. For each, determine the inverse z-transform using both methods?partial fraction expansion and power series expansion?discussed in Section 3.3. In addition,...
The system function of a causal linear time-invariant system is The input to this system is x[n] = (1/3) n u[n] + u[n 1]. (a) Find the impulse response of the system, h[n]. (b) Find the output y[n]....
What are major differences between domestic and foreign loans?
The Tokyo Olympics. After watching how the tokyo olympics became the most expensive summer game ever video answer the following questions. Q 3 : As you saw in the video, the capital investment a city...
write at least two paragraphs discussing the experiences of individuals who identify outside the traditional binary gender system (male/female.) Please explore the challenges they face and how...
Newly formed S&J Iron Corporation has 163,000 shares of $5 par common stock authorized. On March 1, Year 1, S&J Iron issued 9,000 shares of the stock for $12 per share. On May 2, the company issued...
Use the SMOKE for this question. The variable cigs is the number of cigarettes smoked per day. How many people in the sample do not smoke at all? What fraction of people claim to smoke 20 cigarettes...
Transcribed image text : Reproduced below from Farthington Supply's accounting records is the accounts receivable subledger along with selected general ledger accounts. Dec. 31/19 Balance Credit...
What the theories of purchasing power parity and interest rate parity are?
1. As a general strategy, would you recommend that Carl take an aggressive approach to capacity expansion or more of a wait-and-see approach? 2. Should Carl go with the option for one facility that...
If two equal charges each of 1 C each are separated in air by a distance of 1 km, what is the magnitude of the force acting between them? You will see that even at a distance as large as 1 km, the...
Develop a radix-3 decimation-in-time FFT algorithm for N = 3v and draw the corresponding flow graph for N = 9. What is the number of required complex multiplications? Can the operations be performed...
Repeat problem 6.25 for the DIF case. Develop a radix-3 decimation-in-time FFT algorithm for N = 3' and draw the corresponding flow graph for N = 9. What is the number of required complex...
FFT input and output pruning in many applications we wish to compute only a few points M of the N-point DFT of a finite-duration sequence of length L (i.e., M < < N and L < < N). (a) Draw the flow...
How do external factors such as changing consumer preferences affect the retail industry?"
Production costs that are not attached to units that are sold are reported as: Cost of goods sold Selling expenses Administrative costs Inventory
Please show workings :) Oxford Company has limited funds available for investment and must ration the funds among four competing projects. Selected information on the four projects follows: Life of...

The input to a causal linear time-invariant system is x[n] = u[?n ? 1] + (1/2) n

Question:

Y(2) = (1- )(1+z-1)

Step by Step Answer:

a b c Xz 1211121 Now to fi...View the full answer

Discrete Time Signal Processing

Students also viewed these Telecommunication Engineering questions