Question: We are given a finite-length sequence x[n] of length 627 (i.e., x [n] = 0 for n 626), and we have available an FFT program

We are given a finite-length sequence x[n] of length 627 (i.e., x [n] = 0 for n 626), and we have available an FFT program that will compute the DFT of a sequence of any length N = 2^v. For the given sequence, we want to compute samples of the discrete-time Fourier transform at frequencies

Specify how to obtain a new sequence y[n] from x[n] from x[n] such that the desired frequency samples can be obtained by applying the available FFT program to y[n] with v as small as possible.

2nk k = 0, 1. ..., 255. wk 627 256'

Step by Step Solution

★★★★★

3.45 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 (417).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

How many fragments can be obtained by treating bovine insulin with endopeptidase V8? Does this number depend on whether the protein is first reduced and alkylated?

We are given a directed graph G = (V, E) on which each edge (u, v) E has an associated value r(u, v), which is a real number in the range 0 r(u, v) 1 that represents the reliability of a...

The equation for determining the sample size can be obtained by solving the equation for the margin of error for n. Show that this is true and justify each step. pa E=-c

Matlab question: (Include code/plots if possible) Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT) The DFT of a sequence x(n) with length N is defined: X[k] = sigma_n = 0^N - 1 x[x]...

Consider a discrete-time signal x[n] of length N samples that was obtained by sampling a stationary, white, zero-mean continuous-time signal. It follows that? Suppose that we compute the DFT of the...

The input and output of a linear time-invariant system satisfy a difference equation of the form, Assume that an FFT program is available for computing the DFT of any finite-length sequence of length...

s sf Define the terms opaque type and concrete type. [5 marks] The following is a shortened version of one of the definition modules described in the Modula-2 user manual: Provide a suitable...

Need help with convolution, convolution real-time, and deconvolution functions. Matlab codes 2.3.2 Convolution function - Matlab style You are going to write a Matlab function to convolve two...

Let x [n] and h [n] be two real finite-length sequences such that x[n] = 0 for n outside the interval 0 ? n ? L ? 1, h[n] = 0 for n outside the interval 0 ? n ? p ? 1. We wish to compute the sequence...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

Write a paper on the topic what are the attributes and practices of a powerful formative pioneer.

The following transactions relate to Academy Towing Service. Assume the transactions for the purchase of the wrecker and any capital improvements occur on January 1 of each year. 2016 1. Acquired...

Consider the initial value problem y ' + 5 y = { 0 i f 0 t 2 9 i f 2 t 5 0 i f 5 t , y ( 0 ) = 5 . a . Take the Laplace transform o f both sides o f the given differential equation t o create the...

Determine the reactions at the roller A and pin B. Given: M = 800 lb ft c = 3 ft F = 390 lb d = 5 a = 8 ft e = 12 b = 4 ft = 30 deg B.

Clean Sweep Company offers home cleaning service. Two recurring transactions for the company are billing customers for services provided and paying employee salaries. For example, on March 15 bills...

Refer to Problem 10-1. What is the projects discounted payback period?

Refer to Problem 10-1. What is the projects PI?

Refer to Problem 10-1. What is the projects payback period?

Siva Nathaniel owns various plots of land in Fulton County, Georgia. He acquired the land at various times during the last 20 years. About every fourth year, Siva subdivides into lots one of the...

Given the summing amplifier shown, select the values of R2 that will produce an output voltage of 3v. 12 24 2V

Solve Prob. 515 using the distortion energy theory. If you have solved Prob. 515, compare the results and discuss the difference.

Determine the output voltage Vo of the summing op-amp circuit shown. 24 36 12 12 24 24 1V

please help! American Express and other credit card issuers must by law print the Annual Percentage Rate (APR) on their monthly statements. If the APR is stated to be 7.50%, with interest paid...

Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (11 %) (23%) 0.2 4 0 0.4 16 21 0.2 23 25 30 = 0.1 47 a. Calculate the expected rate of...

Company X has only debt and equity in its capital structure. The total market value of the firm's assets is $25 million. The total market value of debt is $10 million. The total market value of...