Question: Consider two finite-duration sequences x[n] and y[n]. x[n] is zero for n 19, as indicated in Figure Let w[n] denote the linear convolution of x[n]

Consider two finite-duration sequences x[n] and y[n]. x[n] is zero for n 19, as indicated in Figure

Let w[n] denote the linear convolution of x[n] and y[n], Let g[n] denote the 40-point circular convolution of x[n] and y[n]:?

(a) Determine the values of n for which w[n] can be nonzero.

(b) Determine the values of n for which w[n] can be obtained from g[n]. Explicitly specify at what index values n in g[n] these values of w[n] appear.

x[n] 30 39 (a) y [n) 10 19 (b) w{n] = x{n]

x[n] 30 39 (a) y [n) 10 19 (b) w{n] = x{n] + y[n] = 2 *Ik]y[n - k]. 39 8(n] = x{n]@ y[n] = x(kly{((n - k)4). k=)

Step by Step Solution

★★★★★

3.30 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We ha... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

30-E-T-E-D-S-P (366).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

We want to implement the linear convolution of a 10,000-point sequence with an FIR impulse response that is 100 points long. The convolution is to be implemented by using DFT s and inverse DFT s of...

Let X and Y denote independent finite random variables described by the probability and range vectors px, sx and py, sy. Write a MATLAB function [pw,sw]=sumfinitepmf(px,sx,py,sy) such that finite...

Let A and B be nonzero n n matrices such that A is symmetric and B is skew-symmetric. Prove that {A, B} is linearly independent.

Required: 1. Record the purchase of equipment with down payment of $100,000 and the installment note of $600,000 on January 1, 2024. 2. Record the first payment of $81,905.88 on March 31, 2024. (If...

A modified discrete Fourier transform (MDFT) was proposed (Vernet, 1971) that computes samples of the z-transform on the unit circle offset from those computed by the DFT. In particular, with X M [k]...

Corporation Z completely liquidated in October of the current year, at which time Z made a liquidating distribution to its shareholders. The property distributed was subject to a liability of $40,000...

3. An input x(n) goes through a linear time invariant system with an impulse response h(n) given as h(n) = 0.75"[u(n) - u(n-1019)] and x(n) = r(n) - 2r(n-2) +r(n - 4) + 28(n-2). a) Find the output...

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

c) For phosphate buffer, derive a buffer capacity formula that describes when a strong base is added. d) Plot the buffer capacity against pH (between 1 and 13) for a 100 mM phosphate buffer. e) Based...

Jessica tells her audience about her five years' experience as a social networking professional helping over 100 local businesses learn to use social networking as an effective marketing tool....

International Business Machines Corporation (IBM), the company that originally created and dominated the personal computer (PC) market, has faced a lot of challenges due to increased competition and...

If increasing interval is ( - 2 , 1 / 2 ) what is decreasing interval

Rework Problem 12-1 using the Black-Scholes model to estimate the value of the option. (Hint: Assume the variance of the projects rate of return is 6.87 percent and the risk-free rate is 8 percent.)

Velocity profiles and the stress components ij. For each of the following velocity distributions, draw a meaningful sketch showing the flow pattern. Then find all the components of 'r and pvv for the...

What is the physical significance of hfg? Can it be obtained from a knowledge of hf and hg? How?

An analysis of the transactions made by S. Moses & Co., a certified public accounting firm, for the month of August is shown below. The expenses were $650 for rent, $4,900 for salaries, and $500 for...

One-fourth of a rope of length l is banging down over the edge of a frictionless table the rope bas a uniform, linear density (mass per unit length) A (Greek lambda), and the end already on the table...

24. Which of the following is most likely to decrease the demand for kindergarten teachers? A. An increase in K12 funding. B. Increased immigration of foreign citizens and their families. C. A...

Find the increase in the diameter of the ring of Prob. 471 due to the forces F and along the y axis.

A round tubular column has outside and inside diameters of D and d, respectively, and a diametral ratio of K = d/D. Show that buckling will occur when the outside diameter is 64 Perl

For the conditions of Prob. 473, show that buckling according to the parabolic formula will occur when the outside diameter is D-2 Per Sy/2 1/2

How does fragmentation affect the priority mechanism? anhelo traders to queue-jump to priority I can help traders to queue jump both time and price priority traders to pri privity Ofrontation does...

I NEED ANSWER "B" Howell Petroleum, Incorporated, is trying to evaluate a generation project with the following cash flows: a-1.What is the NPV for the project if the company requires a return of 12...

Winnebagel Corp. currently sells 29,900 motor homes per year at $82,500 each and 8,900 luxury motor coaches per year at $124,500 each. The company wants to introduce a new portable camper to fill out...