Research Article
FPGA Implementation of Optimal 3D-Integer DCT Structure for Video Compression
Table 2
MSE and coding efficiency of 3D-integer DCT computed using direct method.
| S. number | 3D-integer DCT coefficients () | Mean squared error | Coding efficiency (η) |
| | Real valued transform | 0 | 74.8830 |
| 3-bit solution (multiplications: 30, additions: 78) | 1 | 5 3 2 1 3 1 1 | 0.0133 | 70.1868 | 2 | 7 4 3 1 3 1 1 | 0.0155 | 69.1980 |
| 4-bit solution (multiplications: 48, additions: 78) | 3 | 10 9 6 2 3 1 1 | 0.0014 | 74.8115 | 4 | 14 12 9 2 3 1 1 | 0.0024 | 74.0339 | 5 | 12 10 6 3 3 1 1 | 0.0022 | 73.3292 | 6 | 15 12 8 3 3 1 1 | 0.0014 | 73.9534 |
| 5-bit solution (multiplications: 48, additions: 78) | 7 | 24 21 15 4 3 1 1 | 0.0017 | 74.4362 | 8 | 25 21 14 5 3 1 1 | 0.0010 | 74.4961 | 9 | 25 24 16 5 3 1 1 | 0.0026 | 74.7795 | 10 | 26 24 16 6 3 1 1 | 0.0019 | 74.4872 |
| 6-bit solution (multiplications: 48, additions: 78) | 11 | 45 39 26 9 3 1 1 | 0.0011 | 74.7986 | 12 | 45 42 28 9 3 1 1 | 0.0019 | 74.9107 | 13 | 55 51 34 11 3 1 1 | 0.0018 | 74.9117 | 14 | 55 48 32 11 3 1 1 | 0.0011 | 74.8522 |
| 7-bit solution (multiplications: 48, additions: 78) | 15 | 65 57 38 13 3 1 1 | 0.0011 | 74.8726 | 16 | 75 66 44 15 3 1 1 | 0.0011 | 74.8847 | 17 | 85 75 50 17 3 1 1 | 0.0012 | 74.8940 | 18 | 120 105 70 24 3 1 1 | 0.0011 | 74.8650 |
| 8-bit solution (multiplications: 48, additions: 78) | 19 | 175 153 102 35 3 1 1 | 0.0011 | 74.8611 | 20 | 185 162 108 37 3 1 1 | 0.0011 | 74.8677 | 21 | 230 201 134 46 3 1 1 | 0.0011 | 74.8589 | 22 | 250 219 146 50 3 1 1 | 0.0011 | 74.8690 |
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