Table 5 The approximations of DCT generated by the proposed procedure in the case of the asymmetric scenario of type II
From: Approximate calculation of 8-point DCT for various scenarios of practical applications
Name | Adds | Shifts | χ2(U) | \(\epsilon _{A}^{(II)}(U)\) | { a, b, c, d, e, f, g } | Orthogonality |
|---|---|---|---|---|---|---|
APRXII.1 | 14 | 0 | 0.940633 | 0.475113 | { 1, 1, 0, 0, 0, 0, 1 } | + |
APRXII.2 | 16 | 2 | 0.910697 | 0.445176 | { 1, 2, 1, 0, 0, 0, 1 } | + |
APRXII.3 | 18 | 0 | 0.632148 | 0.166628 | { 1, 1, 0, 0, 0, 1, 1 } | - |
APRXII.4 | 20 | 2 | 0.602212 | 0.136691 | { 1, 1, \( \kern0.3em \frac{1}{2} \), 0, 0, 1, 1 } | - |
APRXII.5 | 22 | 0 | 0.543922 | 0.078402 | { 1, 1, 0, 0, 1, 1, 1 } | + |
APRXII.6 | 22 | 4 | 0.517743 | 0.052222 | { 1, 1, 0, 0, \( \kern0.3em \frac{1}{2} \), 1, 1 } | - |
APRXII.7 | 24 | 2 | 0.513986 | 0.048465 | { 1, 1, \( \kern0.3em \frac{1}{2} \), 0, 1, 1, 1 } | + |
APRXII.8 | 24 | 6 | 0.487806 | 0.022286 | { 1, 2, 1, 0, \( \kern0.3em \frac{1}{2} \), 1, 1 } | - |
APRXII.9 | 28 | 10 | 0.474493 | 0.008973 | { 1, 2, 1, \( \kern0.3em \frac{1}{4},\kern0.3em \frac{1}{2} \), 1, 1 } | - |