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Table 4 The results of analysis of known approximations of DCT in the case of the asymmetric scenario of type II (Ď€(V)=0.131042)

From: Approximate calculation of 8-point DCT for various scenarios of practical applications

Type

Adds

Shifts

χ2(U)

\(\epsilon _{A}^{(II)}(U)\)

Orthogonality

DR2014

12

0

13.577153

13.228013

-

PMCBKE2014

14

0

1.097419

0.631898

+

BAS2008III (a=0.0)

16

0

1.033841

0.568321

+

BAS2008III (a=1.0)

18

0

1.033722

0.568201

+

BAS2008III (a=0.5)

18

2

1.008255

0.542735

+

BC2012

14

0

0.940633

0.475113

+

PS2012

18

2

0.813411

0.347891

+

BAS2008I

18

2

0.655782

0.190261

+

BAS2010

24

4

0.633755

0.168235

+

SDCT2001

24

0

0.631355

0.165835

-

BAS2008II

21

0

0.618191

0.152670

-

CB2011

22

0

0.543922

0.078402

+

PMCBR2012

24

6

0.515187

0.049667

+