Consider an LTI system that is stable and for which H(z), the z-transform of the impulse response,

Question:

Consider an LTI system that is stable and for which H(z), the z-transform of the impulse response, is given by

Suppose x[n], the input to the system, is a unit step sequence.

(a) Find the output y[n] by evaluating the discrete convolution of x[n] and h[n].

(b) Find the output y[n] by computing the inverse z-transform of 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 02:56 AM

See More Questions

Consider an LTI system with impulse response h(n) = [(1/4)u cos(/4n)] (a) Determine its system function H(z) (b) Is it possible to implement this system using a finite number of adders, multipliers...
Consider an LTI system with impulse response h(n) = (1/2)n u(n). (a) Determine and sketch the magnitude and phase response |H (?)| (b) Determine and sketch the magnitude and phase spectra for the...
Consider an LTI system with impulse response h[n] = a n u[n] with |?| (a) Compute the deterministic autocorrelation function ? hh [m] for this impulse response. (b) Determine the energy density...
A trial balance was extracted from the books of V Baker, and it was found that the debit side exceeded the credit side by 40. This amount was entered in the suspense account. The following errors...
Alpha and Beta, two tiny islands off the east coast of Tricoli, produce pearls and pineapples. The production possibilities schedules in the table below describe their potential output in tons per...
Carbonate rocks are formed mainly in marine environments. Why do we find abundant carbonate deposits on continental land?
4 Suponga que est planeando comprar un automvil nuevo, por lo que decide visitar http:///www.edmunds.com. Con base en su experiencia de la visita a ese sitio, cree usted que tendra ms o menos control...
Industrial Technologies, Inc. (ITI), produces two compression machines that are popular with manufacturers of plastics: no. 165 and no. 172. Machine no. 165 has an average selling price of $30,000,...
Knockoffs Unlimited, a nationwide distributor of low-cost imitation designer necklaces, has an exclusive franchise on the distribution of the necklaces, and sales have grown so rapidly over the past...
The CitruSun Corporation ships frozen orange juice concentrate from processing plants in Eustis and Clermont to distributors in Miami, Orlando, and Tallahassee. Each plant can produce 20 tons of...
Let x[n] be the sequence with the pole-zero plot shown in Figure. Sketch the pole-zero plot for:? (a) y[n] = (1/2) n x[n]? (b) w[n] = cos (?n/2) x[n] Im z-plane Re
Determine the unit step response of the causal system for which the z-transform of the impulse response is 1-3 (2) 1- z4
A survey of 100 mayonnaise purchasers showed that 65 were loyal to one brand. For 100 bath soap purchasers, only 53 were loyal to one brand. Perform a two-tailed test comparing the proportion of...
Assume you have been given $400,000 CAD with access to all listed stocks, bonds, futures, and options worldwide. You can trade in options and futures, in combination with the underlying asset....
Charlene wrote a letter to Rachel offering to sell her car, a Proton Saga, for RM 60,000. The letter reached Rachel on 25. 11.2020. Rachel sent her letter of acceptance at 3 p.m. on the same day....
Data for the risk premium sensitivities (b, s, and h) as well as the beta coefficient for the CAPM of two companies are listed in the following table: Company b s h ERP SMBP HMLP Beta Alpha 1.1114...
Free-Response Questions 1. m Initial position eviribrA ARAL m Incline raised to 0 <0max pr A block of mass m is initially at rest on a rough board, which is initially horizontal on a tabletop. The...
A picture frame sits atop a bookshelf. When the bookshelf is bumped, the frame tumbles to the floor, landing after 0.64 s. How tall is the bookshelf?
What is the purpose of restrictive covenants? Of sinking funds? Of call provisions?
In a large midwestern university, 30% of the students live in apartments. If 200 students are randomly selected, find the probability that the number of them living in apartments will be between 55...
(a) What is the intensity in watts per meter squared of a just barely audible 200-Hz sound? (b) What is the intensity in watts per meter squared of a barely audible 4000-Hz sound?
Determine the coefficients {H(n)} of a linear-phase FIR filter of length M = 15 which has a symmetric unit sample response and a frequency and a frequency response that satisfies thecondition k = 0,...
Repeat the filter design problem in Problem 8.6 with the frequency responsespecifications k = 0. 1. 2, 3 (#) 2nk , 0.4 k = 4 15 k = 5, 6, 7
The ideal analog differentiator is described by Y a (t) = dx a (t)/dt Where x a (t) is the input and y a (t) the output signal. (a) Determine its frequency response by exciting the system with the...
XF Ltd. Is an expanding private company in the electric trade. Accounts preparing in January 2019 included the following information: Profit Statement for the year ended 31 st December 2018 Kshs.000...
Check On June 15, 2021, Sanderson Construction entered into a long-term construction contract to build a baseball stadium in Washington D.C., for $340 million. The expected completion date is April...
Q.1 Bassem Company purchased OMR420,000 in merchandise on account during the month of April, and merchandise costing OMR $350,000 was sold on account for OMR 425,000. Required: 1. Prepare journal...

Consider an LTI system that is stable and for which H(z), the z-transform of the impulse response,

Question:

3 - 72- + 5z2 H(2) = 1-- +22

Step by Step Answer:

a b 37z52 1...View the full answer

Discrete Time Signal Processing

Students also viewed these Telecommunication Engineering questions