July 2015
Intermediate to advanced
600 pages
17h 41m
English
Content preview from Trends in Digital Signal Processing
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June 16, 2015 13:36 PSP Book - 9in x 6in 07-Yong-Ching-Lim-c07
236 Transform Domain Processing for Recent Signal and Video Applications
For example, the IK(5,7,3) can be written as
IK(5,7,3) =
⎡
⎢
⎢
⎣
a
a
a
a
b
c
−c
−b
a
−a
−a
a
c
−b
b
−c
⎤
⎥
⎥
⎦
=
⎡
⎢
⎢
⎣
5555
73−3 −7
5 −5 −55
3 −77−3
⎤
⎥
⎥
⎦
Note that the quality of these kernels depends on (i) simplicity
and (ii) the closeness of the elements to the real DCT kernel
elements. For simplicity, we mean the use of simple integer values
for (a,b,c). Besides “0,” the simplest integers are “1” and “2.” Hence,
the kernel (1,2,1) should be the simplest kernel. Closeness refers
to how close (a,b,c) are equal to (0.5000,
1
√
2
cos
π