ECE 6364 Spring 2009 HW 8 Due 4/6
Problem 1.
Given the following four 2x2 basis images
{
}
3,2,1,0=k
k
A of a 2-D unitary transform, find the 2x2 coefficient image
Vobtained by applying the transform to image U.
⎥
⎦
⎤
⎢
⎣
⎡
=15
48
U ⎥
⎦
⎤
⎢
⎣
⎡
=33
44
25
1
0
A ⎥
⎦
⎤
⎢
⎣
⎡
−
−
=33
44
25
1
1
A ⎥
⎦
⎤
⎢
⎣
⎡−−
=44
33
25
1
2
A ⎥
⎦
⎤
⎢
⎣
⎡
−
−
=44
33
25
1
3
A
Problem 2.
Jain - Problem 5.3
Problem 3.
Given 2x2 image ⎥
⎦
⎤
⎢
⎣
⎡
=15
48
U
(a) Compute the unitary DFT transform.
(b) Compute the unitary Cosine transform.
Problem 4. For a 2x2 image, compute the four 2x2 basis images of the
(a) unitary DFT transform.
(b) unitary Cosine transform.