Consider the finite-length sequence x[n] = 2[n] + [n 1] + [n 3]. We perform

Question:

Consider the finite-length sequence

x[n] = 2δ[n] + δ[n – 1] + [n – 3].

We perform the following operation on this sequence:

(i) We compute the five-point DFT X[k].

(ii) We compute a five-point inverse DFT of Y[k] = X[k]² to obtain a sequence y[n].

(a) Determine the sequence y[n] for n = 0, 1, 2, 3, 4.

(b) If N-point DFTs are used in the two-step procedure, how should we choose N so that y[n] = x [n]* x[n] for 0 ≤ n ≤ N – 1?

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 02:57 AM

See More Questions

In this section we used a two step procedure to select a simple random sample of 30 EAI employees. Use this procedure to select a simple random sample of 50 EAI employees?
In Step 3 of Procedure 16.2, we obtain confidence intervals only when i < j. Explain how to determine the remaining confidence intervals from those obtained.
If X (k) is the DFT of the sequence x (n), determine the N-point DFTs of the sequences x0(n) = x(n)cos2kn/N 0 n N 1 and xs(n) = x(n)sin2kn/N 0 n N 1 in terms of X(k).
Evaluate the limit or determine that it does not exist. |xx| lim (x,y)(0,0) [x] + [yl
What would happen to unit sales and total revenue for this textbook if the publisher reduced its price?
The FASB ASC paragraph 810-10-45-16 states: "The non-controlling interest shall be reported in the consolidated statement of financial position within equity, separately from the parent's equity....
A 6-cylinder, 4-stroke, single acting petrol engine develops $50 \mathrm{~kW}$ brake power at $4200 \mathrm{rpm}$ and brake thermal efficiency is $22 \%$. The temperature and pressure at the...
You have been provided with the following alphabetical list of accounts for Thaxted Ltd. for 2017. Use the information to prepare an income statement for the year ended December 31, 2017, and balance...
Gilbert Canned Produce (GCP) packs and sells three varieties of canned produce: green beans; sweet peas; and tomatoes. The company is currently operating at 82 percent of capacity. Worried about the...
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.50 P(medium-quality oil) = 0.20 P(no oil) = 0.30...
Determine a sequence x[n] that satisfies all of the following three conditions: Condition 1: The Fourier transform of x[n] has the form X(e j? ) = 1 + A 1 cos ? + A 2 cos 2?, Where A 1 and A 2 are...
x[n] is a real-valued finite-length sequence of length 10 and is nonzero in the interval from 0 to 9, i.e., x[n] = 0, n < 0, n 10, x[n] 0, 0 n 9. X(e j ) denotes the Fourier transform of x[n],...
PQRS is a rectangle with base length 2p units and area Aunits 2 . The points P and Q lie on the x-axis and the points R and S lie on the curve y = 9 x 2 . a. Express QR in terms of p. b. Show that A...
Constants The aurora is caused when electrons and protons, moving in the earth's magnetic field of 5.0 x 105T, collide with molecules of the atmosphere and cause them to glow. Part B What is the...
By increasing the areas of the zinc and copper plates in the Daniell cell, we can increase the amperage of the current flowing through the circuit without affecting the cell's voltage. (a) Why does...
The Golf Academy books show that at the beginning of the year ( 1 / 1 / 2 0 1 6 , the beginning balance in accounts receivable was $ 8 , 0 0 0 . During the year the firm reported sales revenue of $ 4...
As a skilled economic consultant, you are concerned about the forecast provided in the previous module, based on nominal values. Additional research indicates that the implicit price deflator was...
21) A machinist turns on the power on to a grinding wheel at time t=0s. The wheel accelerates uniformly from rest for 10 s and reaches the operating angular speed of 58 rad/s. The wheel is run at...
Randi W. was a 13-year-old minor who attended the Livingston Middle School where Robert Gadams served as vice principal. On February 1, 1992, while Randi was in Gadams's office, Gadams sexually...
A sample statistic will not change from sample to sample. Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
What volume, in milliliters, of 0.512 M NaOH is required to react completely with 25.0 mL 0.234 M H 2 SO 4 ?
In the circuit shown, Io = 2 mA. Find Is. IS
In the network shown, V1 = 12 V. Find Vs. 4 kQ + V1 - 1 kQ 2 kQ Vs 6 kQ 4 kQ 3kQ
In the circuit shown, Vo = 2 V. Find Is. 12 2 8 10 3
What are non marginal investors? How can i distinguish between a non marginal investor and a marginal investor among shareholders? Explain it briefly and conclude it.
How would Stephanies decisions concerning conducting stock transactions be affected if she were 35 years old? If she were 50 years old? What are stock exchanges? How do they facilitate the trading of...
Write a script to determine whether a given file system or mount point is mounted, and output the amount of free space on the file system if it is mounted. If the file system is not mounted, the...

Consider the finite-length sequence x[n] = 2[n] + [n 1] + [n 3]. We perform

Question:

Step by Step Answer:

a b This procedure perform the autocorrelation of a real sequence Using the properties of the D...View the full answer

Discrete Time Signal Processing

Students also viewed these Telecommunication Engineering questions