From: Approximate calculation of 8-point DCT for various scenarios of practical applications
Type | Adds | Shifts | \(\chi _{3}(U,\overline {U})\) | \(\epsilon _{A}^{(III)}(U,\overline {U})\) | \(\text {tr}(\overline {U}^{T}\overline {U})/N\) | π(U) | Orthogonality |
---|---|---|---|---|---|---|---|
DR2014 | 12 | 0 | 5.782034 | 0.000000 | 3.000000 | 0.542537 | - |
(2.545508)∗ | (1.100000)∗ | (0.750000)∗ | |||||
BC2012 | 14 | 0 | 0.656552 | 0.000000 | 1.000000 | 0.184816 | + |
PMCBKE2014 | 14 | 0 | 0.656552 | 0.000000 | 1.000000 | 0.184816 | + |
BAS2008III (a=0.0) | 16 | 0 | 0.574577 | 0.000000 | 1.000000 | 0.161740 | + |
BAS2008III (a=1.0) | 18 | 0 | 0.574474 | 0.000000 | 1.000000 | 0.161711 | + |
BAS2008III (a=0.5) | 18 | 2 | 0.547763 | 0.000000 | 1.000000 | 0.154192 | + |
BAS2008I | 18 | 2 | 0.547763 | 0.000000 | 1.000000 | 0.154192 | + |
PS2012 | 18 | 2 | 0.534894 | 0.000000 | 1.000000 | 0.150570 | + |
BAS2008II | 21 | 0 | 1.032007 | 0.000000 | 1.781250 | 0.163090 | - |
(0.794446)∗ | (0.215074)∗ | (1.000000)∗ | |||||
CB2011 | 22 | 0 | 0.539839 | 0.000000 | 1.000000 | 0.151962 | + |
SDCT2001 | 24 | 0 | 0.886988 | 0.000000 | 1.500000 | 0.166455 | - |
(0.951579)∗ | (0.360253)∗ | (1.000000)∗ | |||||
BAS2010 | 24 | 4 | 0.522419 | 0.000000 | 1.000000 | 0.147058 | + |
PMCBR2012 | 24 | 6 | 0.520192 | 0.000000 | 1.000000 | 0.146431 | + |