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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 (π(V)=0.131042)

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

Type Adds Bit-shifts χ1(U) \(\epsilon _{A}^{(I)}(U)\) π(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 +