Question: Now let us practice the polynomial multiplication by FFT. Suppose that you want to multiply the two polynomials 1 + x + 2x^(2) and 2

Now let us practice the polynomial multiplication by FFT. Suppose that you want to multiply the two polynomials 1 + x + 2x^(2) and 2 + 3x using the FFT. Choose an appropriate power of two, find the FFT of the two polynomials, and then multiply the results componentwise. You only need to give the value representation form for the resulting polynomial (i.e. you do not need to perform interpolation to obtain the coefficient representation).

Step by Step Solution

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

Students Have Also Explored These Related Databases Questions!

Suppose that we wish to multiply two very large numbers (possibly thousands of bits long) on a 16-bit computer. In this problem, we will investigate a technique for doing these using FFTs. (a) Let...

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

9/14/10 12:39 PM Page 381 Chapter dug84356_ch06a.qxd 6 Rational Expressions Advanced technical developments have made sports equipment faster, lighter, and more responsive to the human body. Behind...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

A. B. A. B. ( ( ) ) Beginning and Intermediate Algebra An open source (CC-BY) textbook Available for free download at: http://wallace.ccfaculty.org/book/book.html by Tyler Wallace 1 ISBN...

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Please show work, and SKIP PAGES 17 THROUGH 19 MATH 080 Final-Exam Review Revised October 2018 Can you simplify an expression using the order of operations? 1) Simplify 2) Simplify A) 32(11 - 8) - 18...

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

The black grille on the back of a refrigerator has a surface temperature of 35C with a total surface area of 1 m2. Heat transfer to the room air at 20C takes place with an average convective heat...

Chance (Summer 2004) published an article on the use of lead bullets as forensic evidence in a federal criminal case. Typically, the Federal Bureau of Investigation (FBI) will use a laboratory method...

How do you know when you need a financial advisor?

wer Unit 5: Financing, Debt Policy, and Dividend Policy / Assignment 12A - Graded : 02:00.18 Dungeoness Corporation has excess cash of $1,900 that it would like to distribute to shareholders through...

4. Identify the challenges facing todays organizations

2. Compare two organizations that you belong to or have regular contact with (such as a social organization, a volunteer organization, or a company). Describe the type of management approach at these...

1. LaunchPad for Real Communication offers key term videos and encourages selfassessment through adaptive quizzing. Go to bedfordstmartins.com/realcomm to get access to: LearningCurve Adaptive...