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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 (π(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 +