Table 3 Comparison of the PSNR of reconstructions with different dimensions of Gaussian measurement matrices (ℓ 0-minimization with ρ = 0.8)
From: Low storage space for compressive sensing: semi-tensor product approach
Ratio of dimensionality reduction | M/N | PSNR | |||
|---|---|---|---|---|---|
Lena | Peppers | OT-colon | |||
Max | t = 1 | 0.8125 | 41.4152 | 45.1162 | 41.4891 |
t = 2 | 41.2529 | 45.2535 | 41.2479 | ||
t = 4 | 41.2816 | 45.0404 | 41.2863 | ||
t = 8 | 41.6383 | 44.4560 | 41.3755 | ||
t = 16 | 41.6666 | 43.9702 | 41.0504 | ||
t = 1 | 0.7500 | 39.3990 | 42.5244 | 39.2847 | |
t = 2 | 39.3532 | 42.5405 | 39.1986 | ||
t = 4 | 39.4859 | 42.8989 | 39.1524 | ||
t = 8 | 39.3292 | 41.9847 | 39.1286 | ||
t = 16 | 39.4723 | 41.0188 | 39.0994 | ||
t = 1 | 0.5000 | 35.4444 | 36.4737 | 30.5470 | |
t = 2 | 35.3266 | 36.6717 | 30.3621 | ||
t = 4 | 35.2764 | 37.3340 | 30.6017 | ||
t = 8 | 35.0658 | 36.3877 | 30.5098 | ||
t = 16 | 35.5209 | 36.6022 | 30.3819 | ||
t = 1 | 0.4375 | 26.2675 | 27.5362 | 28.5509 | |
t = 2 | 26.4057 | 27.7582 | 28.4599 | ||
t = 4 | 27.3657 | 28.1248 | 28.2993 | ||
t = 8 | 26.8054 | 27.9102 | 27.9184 | ||
t = 16 | 27.4303 | 29.2851 | 27.5377 | ||
Min | t = 1 | 0.8125 | 40.6046 | 44.2813 | 41.0969 |
t = 2 | 40.6000 | 44.0375 | 40.5387 | ||
t = 4 | 39.7232 | 43.0134 | 40.6741 | ||
t = 8 | 38.3074 | 39.8453 | 38.9174 | ||
t = 16 | 36.2093 | 37.5271 | 36.5640 | ||
t = 1 | 0.7500 | 38.6814 | 42.0387 | 38.6598 | |
t = 2 | 38.4750 | 41.6335 | 38.1730 | ||
t = 4 | 38.4480 | 39.8260 | 38.7530 | ||
t = 8 | 37.1189 | 38.5990 | 38.1803 | ||
t = 16 | 34.8398 | 33.6085 | 33.4261 | ||
t = 1 | 0.5000 | 34.9586 | 36.1277 | 30.1636 | |
t = 2 | 34.7745 | 35.5442 | 29.9858 | ||
t = 4 | 34.4683 | 35.7925 | 29.7738 | ||
t = 8 | 34.0103 | 34.7392 | 29.3071 | ||
t = 16 | 17.1770 | 8.2242 | 28.3865 | ||
t = 1 | 0.4375 | 25.7846 | 27.1451 | 28.1552 | |
t = 2 | 25.5322 | 26.9129 | 27.8469 | ||
t = 4 | 25.5191 | 26.4387 | 28.0847 | ||
t = 8 | 24.9147 | 21.1803 | 27.5269 | ||
t = 16 | 5.9977 | 21.0325 | 24.9710 | ||
Mean | t = 1 | 0.8125 | 41.0056 | 44.8147 | 41.1039 |
t = 2 | 40.9707 | 44.5737 | 41.1145 | ||
t = 4 | 40.6192 | 44.2741 | 41.1011 | ||
t = 8 | 40.1403 | 43.8523 | 41.0180 | ||
t = 16 | 39.7578 | 42.6253 | 40.9543 | ||
t = 1 | 0.7500 | 39.0722 | 42.2699 | 39.1848 | |
t = 2 | 38.9532 | 42.0751 | 39.1056 | ||
t = 4 | 38.8577 | 41.6732 | 39.0522 | ||
t = 8 | 38.3079 | 41.3472 | 38.6734 | ||
t = 16 | 36.8636 | 40.0724 | 38.3980 | ||
t = 1 | 0.5000 | 35.1674 | 36.3082 | 30.3101 | |
t = 2 | 35.0681 | 36.1250 | 30.2036 | ||
t = 4 | 35.1892 | 36.2985 | 30.1288 | ||
t = 8 | 34.8385 | 35.6255 | 30.1171 | ||
t = 16 | 34.4991 | 35.2709 | 29.1196 | ||
t = 1 | 0.4375 | 25.9959 | 27.3607 | 28.3191 | |
t = 2 | 25.9664 | 27.3312 | 28.2886 | ||
t = 4 | 25.9391 | 27.0231 | 28.2801 | ||
t = 8 | 25.6793 | 26.1873 | 27.7021 | ||
t = 16 | 25.7151 | 26.8239 | 27.3460 | ||