Table 3 The approximations of DCT generated by the proposed procedure in the case of the asymmetric scenario of type I

APRXI.1

14

0

1.131665

0.475113

0.184816

{ 1, 1, 0, 0, 0, 0, 1 }

+

APRXI.2

16

0

1.131547

0.475113

0.184783

{ 1, 1, 1, 0, 0, 0, 1 }

+

APRXI.3

16

2

1.071089

0.445176

0.176191

{ 1, 1, \( \kern0.3em \frac{1}{2} \), 0, 0, 0, 1 }

+

APRXI.4

18

0

0.755224

0.166628

0.165687

{ 1, 1, 0, 0, 0, 1, 1 }

-

APRXI.5

20

0

0.755118

0.166628

0.165657

{ 1, 1, 1, 0, 0, 1, 1 }

-

APRXI.6

20

2

0.697819

0.136691

0.157954

{ 1, 2, 1, 0, 0, 1, 1 }

-

APRXI.7

22

0

0.618240

0.078402

0.151962

{ 1, 1, 0, 0, 1, 1, 1 }

+

APRXI.8

22

4

0.554463

0.052222

0.141378

{ 1, 1, 0, 0, \( \kern0.3em \frac{1}{2} \), 1, 1 }

-

APRXI.9

24

2

0.554373

0.052222

0.141353

{ 1, 1, 1, 0, \( \kern0.3em \frac{1}{2} \), 1, 1 }

-

APRXI.10

24

6

0.501088

0.022286

0.134780

{ 1, 1, \( \kern0.3em \frac{1}{2} \), 0, \( \kern0.3em \frac{1}{2} \), 1, 1 }

-

APRXI.11

28

10

0.482868

0.010708

0.132910

{ 1, 1, \( \kern0.3em \frac{1}{2},\kern0.3em \frac{1}{8},\kern0.3em \frac{1}{2} \), 1, 1 }

-