The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
0 votes
885 views

64. A 4*4 DFT matrix is given by

1\2              1      1       1       1

                   1      x      -1       y

                   1    -1        1      -1

                  1     -j        -1       j

(j2= -1)

Where values of x and y are ---------,------------- respectively.

(1)1,-1

(2)-1,1

(3)-j,j

(4)j,-j

asked in CBSE/UGC NET by (105 points)
retagged by | 885 views

1 Answer

+1 vote

Ans. is 4

4 X4 DFT matrix Def

1/N     1      1        1          1

          1       w    w^2      w^3

          1    w^2   w^4      w^6

          1   w^3    w^6      w^9

In this ex.

    

1\2              1      1       1       1

                   1      x      -1       y

                   1    -1        1      -1

                  1     -j        -1       j

given that (j2= -1)

=> here   w=x

x^2=-1 and j^2=-1

i.e. x=j 

w^3=y

w^3=-j

i.e. y=-j

answered by (31 points)


Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

39,828 questions
46,802 answers
140,987 comments
58,943 users