The chirp transform of a vector a = (a 0 , a 1 , . . .
Question:
The chirp transform of a vector a = (a0, a1, . . . ,an-1) is the vector y= (y0, y1, . . . ,yn-1), where yk = Σn-1j=0?aj zkj and z is any complex number. The DFT is therefore a special case of the chirp transform, obtained by taking z = ωn. Show how to evaluate the chirp transform in time?O(nlgn)?for any complex number?. Use the equation
to view the chirp transform as a convolution.
Transcribed Image Text:
n-1 Yk = zk2/2 -(k-j)?/2 j=0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
The chirp transform of a vector a can be viewed as a convolution using the equation yk ...View the full answer
Answered By
Dulal Roy
As a tutor, I have gained extensive hands-on experience working with students one-on-one and in small group settings. I have developed the ability to effectively assess my students' strengths and weaknesses, and to customize my teaching approach to meet their individual needs.
I am proficient at breaking down complex concepts into simpler, more digestible pieces, and at using a variety of teaching methods (such as visual aids, examples, and interactive exercises) to engage my students and help them understand and retain the material.
I have also gained a lot of experience in providing feedback and guidance to my students, helping them to develop their problem-solving skills and to become more independent learners. Overall, my hands-on experience as a tutor has given me a deep understanding of how to effectively support and encourage students in their learning journey.
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Question Posted:
Students also viewed these Computer science questions
-
A definite advantage of the FFT is that it reduces considerably the computation in the convolution sum. Thus if x[n], 0 ¤ n ¤ N 1, is the input of an FIR filter with impulse response...
-
We have seen how to evaluate a polynomial of degree-bound n at a single point in O(n) time using Horner's rule. We have also discovered how to evaluate such a polynomial at all n complex roots of...
-
The definition of the conditional p.d.f. of X given Y = y is arbitrary if f2(y) = 0. The reason that this causes no serious problem is that it is highly unlikely that we will observe Y close to a...
-
Cost of goods available for sale consists of two elements: beginning inventory and: (a) ending inventory. (b) cost of goods purchased. (c) cost of goods sold. (d) All of the answer choices are...
-
Draw a Newman projection, similar to Figure 3-25, down the bond in the equatorial conformation of methylcyclohexane. Show that the equatorial methyl group is also anti to C5. (Using your models will...
-
The UK economy grew by 0.3 percent in the second quarter of 2017 after 0.2 percent growth in the first quarter. These slow growth rates are seen as confirming the predicted effects of the country...
-
Discuss the sampling strategy and technique to be used. Develop a hypothetical research scenario that would necessitate the use of the Action Research Approach and a Posttest With a Historical...
-
In eight years, Kent Duncan will retire. He is exploring the possibility of opening a self-service car wash. The car wash could be managed in the free time he has available from his regular...
-
What is one of the Oracle database upgrade methods. Which of the methods offers the least control over the upgrade process? Please explain thoroughly because I am having a hard time with this subject...
-
Over the past few years the percentage of students who leave Dana College at the end of their first year has increased. Last year, Dana started voluntary one-credit hour-long seminars with faculty to...
-
Draw the group operation tables for the groups ( 4, + 4 ) and ( * 5 , 5 ). Show that these groups are isomorphic by exhibiting a one-to-one correspondence between their elements such that a + b c...
-
Given a list of values z 0 , z 1 , . . . ,z n - 1 (possibly with repetitions), show how to find the coefficients of a polynomial P(x) of degree-bound n + 1 that has zeros only at z 0 , z 1 , . . . ,z...
-
Is a contract for the installation of a central heating system a contract for the sale of goods?
-
A study of the 30 largest U.S. companies found that their average growth rate over the preceding 20 years had been well above the average growth rate for all companies, suggesting that big companies...
-
During World War II, 408,000 U.S. American military personnel died while on duty and 375,000 civilian Americans died because of accidents in the United States. Should we conclude that fighting a war...
-
What is the name of the most recent trade agreement among 54 nations across the continent of Africa?
-
A 1950s study found that married men were in better health than men of the same age who never married or were divorced, suggesting that the healthiest path is for a man to marry and never divorce...
-
What data might be used to make a reasonable estimate of the probability that a newborn baby will be female?
-
What are the differences among the mean, median, and mode, and what are the advantages and disadvantages of each? Discuss briefly.
-
Planning: Creating an Audience Profile; Collaboration: Team Projects. Compare the Facebook pages of three companies in the same industry. Analyze the content on all available tabs. What can you...
-
Assume Alice, the client, creates a TCP connection with Bob, the server. They exchange data and close the connection. Now Alice starts a new connection with Bob by sending a new SYN segment. The...
-
UDP is a message-oriented protocol. TCP is a byte-oriented protocol. If an application needs to protect the boundaries of its message, which protocol should be used, UDP or TCP?
-
We used the terms passive open and active open in discussing a connectionoriented communication using TCP. Assume there is a telephone conversation between Alice and Bob. Since a telephone...
-
Microsoft recommends using a server operating system rather than a desktop operating system for the deployment of SQL Server. Why might the use of a desktop operating system hinder the performance of...
-
having some problems with database MS SQL SERVER, and I would like to know if you could help me with some questions, thank you very much, I really appreciate your help. Where all data modifications...
-
Lab Create a separate file for your lab report. DO NOT submit the entire module. Part I SQL Server: SHOWPLAN Objectives: 1. Import and Export Bulk Data by Using the bcp Utility 2. Compare different...
Study smarter with the SolutionInn App