Holistic Numerical Methods

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MULTIPLE CHOICE TEST

(All Tests)

DISCREET FOURIER TRANSFORM

(More on Discrete Fourier Transform)

FAST FOURIER TRANSFORMS

(More on Fast Fourier Transforms)
 

Pick the most appropriate answer.

Q1.  Given that W=e-i(2π/N) , where N=3. Then F=WN can be computed as F=

0

1

-1

e

Q2.  Given that W=e-i(2π/N) , where N=3. Then F=W(N/2) can be computed as F=

0

1

-1

e

Q3. Given that , . The values for vector  shown in

                       

     can be computed as:

Q4.  Given that , .  The values for  shown in Equation (22D)

                  

        can be computed as

Q5.  If the forcing function F(t) is given as

.

Then, to avoid aliasing phenomenon, the minimum number of sample data points Nmin should be

8

16

24

32

Q6.  Based on the figure below, aliasing phenomena will not occur because there were

          

2 sample data points per cycle.

4 sample data points per cycle.

4 sample data points per 2 cycles.

6 sample data points per 2 cycles.

 

Complete Solution

 

 

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

  

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