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Table 2 The results of analysis of known approximations of DCT in the case of the asymmetric scenario of type I (Ď€(V)=0.131042)

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

Type

Adds

Bit-shifts

χ1(U)

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

Ď€(U)

Orthogonality

DR2014

12

0

15.155350

13.228013

0.542537

-

PMCBKE2014

14

0

1.288450

0.631898

0.184816

+

BC2012

14

0

1.131665

0.475113

0.184816

+

BAS2008III (a=0.0)

16

0

1.142898

0.568321

0.161740

+

BAS2008III (a=1.0)

18

0

1.142676

0.568201

0.161711

+

BAS2008III (a=0.5)

18

2

1.090498

0.542735

0.154192

+

PS2012

18

2

0.882784

0.347891

0.150570

+

BAS2008I

18

2

0.738024

0.190261

0.154192

+

BAS2008II

21

0

0.732042

0.152670

0.163090

-

CB2011

22

0

0.618240

0.078402

0.151962

+

SDCT2001

24

0

0.757160

0.165835

0.166455

-

BAS2010

24

4

0.690653

0.168235

0.147058

+

PMCBR2012

24

6

0.569858

0.049666

0.146431

+