Question: Let x[n],0 n N-1, be a length-N sequence with an N-point DFT given by X[k], 0 k N-1. Determine the 2N-point DFT of each

Let x[n],0 n N-1, be a length-N sequence with an N-point DFT given by X[k], 0 k N-1. Determine the

Let x[n],0 n N-1, be a length-N sequence with an N-point DFT given by X[k], 0 k N-1. Determine the 2N-point DFT of each of the following length-2N sequences in terms of X[k]: (0, 0nN-1, Nn 2N-1. (a) g[n] = {x[n], 0nN-I, Nn2N-1, (b) h[n] = x[n-N],

Step by Step Solution

★★★★★

3.37 Rating (144 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To determine the 2Npoint Discrete Fourie... 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

Students Have Also Explored These Related Biology Questions!

1. Suppose you invest $10,000 in a bank account at an interest rate of 6%. How much will you have in your account at the end of two years? How much is simple interest and how much is compound...

Summarize the debate between "Discretion" and "Rules" for the Federal Reserve. What is the general effect of easy monetary policy on the behavior of banks, lenders, consumers, and fraudsters (think...

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]...

Pogram P3.1 can he used to evaluale and plot the DTFT of the farm of E4 33 % Progr P3.1 Evaluation of the % compute the trequescy samples of the TFT aubplot (2,1 0 Chapter 3Discrete-Time Signals in...

Consider a finite-length sequence x[n] of length N as indicated in Figure. (The solid line is used to suggest the envelope of the sequence values between 0 and N ? 1.) Two finite-length sequence x 1...

Consider the following procedure? (a) Form the sequence v[n] = x 2 [2n] where x 2 [n] is given by Eq. (8.166). This yields? v[n] = x[2n]? ? ? ? ? ? ? ? ? n = 0, 1 ?. N/2 ? 1 v[N ? 1 ? n] = x[2n +...

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

(11) A bandpass filter is needed to recover x2(n) from the signal, x(n) = x1(n) + X2(n) + x3(n), where x1 (n) = sin(.5n), X2(n) = sin(1.4n), and X3(n) = cos(2.7n). (a) Give specific cut-off...

DFI of real sequences with odd harmonics only Let x(n) be an N -point real sequence with N-point DFT X(k) (N even). In addition, x(n) satisfied the following symmetry property: x(n + N/2) = -x(n) n =...

Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document...

Which of the following would contribute towards an increase in debt/output ratio, all other things equal. Assume that nominal interest rate is fixed and there is no Seigniorage. a. Slower Inflation...

Compare and contrast a manager that implements Theory Y and one that adheres to the expectancy theory. How would each choose to motivate their employees?

Use the Second - Derivative Test for Local Extrema to find the local extrema of the function. f ( x , y ) = 5 - x 2 + 2 0 x - y 2 - 2 y Find f x ( x , y ) and f y ( x , y ) . f x ( x , y ) = f y ( x...

Using data in Exercise 9-9, assume that the allowance for doubtful accounts for Kirchhoff Industries has a credit balance of $10,112 before adjustment on August 31. Journalize the adjusting entry for...

Assume that a firm separately determined inventory under FIFO and LIFO and then compared the results. 1. In each space below, place the correct sign [less than ( ), or equal (=)] for each comparison,...

Evers Industries has a past history of uncollectible accounts, as follows. Estimate the allowance for doubtful accounts, based on the aging of receivables schedule you completed in Exercise 8-8. Age...

Using the axioms of probability, prove the following: (a) If B, then P (A) P(B). (b) P (AB) = P (A) + P (B) P(A B). In particular, if A B = , then P(AB) = P(A) + P(B).

pril's colleague Nathan has consistently pestered her to go out on a date with him. Th mes, he keeps persisting. She found an envelope on her desk from Nathan with inap er infuriated. She now intends...

(a) Figure shows two periodic sequences, x 1 [n] and x 2 [n], with period N = 7. Find a sequence y 1 [n] whose DFS is equal to the product of the DFS of x 1 [n] and the DFS of x 2 [n], i.e.,? Y 1 [k]...

Consider a complex sequence h[n] = h r [n] + jh i [n], where h r [n] and h i [n] are both real sequences, and let H(e j ) = H R (e j ) + j H I (e j ) denote the Fourier transform of h[n], where H R...

The continuous-time signal x c (t) = cos (4000 t) is sampled with a sampling period T to obtain a discrete-time signal x[n] = cos ( n/3). (a) Determine a choice for T consistent with this...

A more accurate approximation to E[h(X1, . . . , Xn)] in Exercise 93 is h(m1, c,mn) 1 1 2 s1 2a '2 h 'x1 2 b 1 c1 1 2 sn 2a '2 h 'xn 2b Y 5 X4c 1 X1 1 1 X2 1 1 X3 d Compute this for Y h(X1, X2, X3,...

A rock specimen from a particular area is randomly selected and weighed two different times. Let W denote the actual weight and X1 and X2 the two measured weights. Then X1 W E1 and X2 W E2, where E1...

29. What is the mean life span of an olfactory receptor?