Table 4 Tests on other random measurement matrices with different dimensions. (M/N = 0.5, ℓ 0-minimization with ρ = 0.8)
From: Low storage space for compressive sensing: semi-tensor product approach
Images | Ratio of dimensionality reduction | PSNR | |||
|---|---|---|---|---|---|
Bernoulli | Hadamard | Toeplitz | |||
Lena (256 × 256) | Max | t = 1 | 35.3431 | 35.2931 | 35.6554 |
t = 2 | 35.3431 | 35.3935 | 35.7550 | ||
t = 4 | 35.6510 | 35.2870 | 35.4465 | ||
t = 8 | 35.2639 | 35.3398 | 35.8770 | ||
t = 16 | 36.2619 | 35.0118 | 35.9155 | ||
Min | t = 1 | 34.9759 | 35.0136 | 34.5715 | |
t = 2 | 34.8563 | 35.0056 | 34.3634 | ||
t = 4 | 34.8053 | 34.7791 | 34.1974 | ||
t = 8 | 34.1163 | 34.1614 | 33.8705 | ||
t = 16 | 15.8923 | 33.0596 | 13.8632 | ||
Mean | t = 1 | 35.0819 | 35.1956 | 35.1887 | |
t = 2 | 35.1102 | 35.2093 | 35.1094 | ||
t = 4 | 35.0779 | 35.1018 | 34.9980 | ||
t = 8 | 34.6943 | 34.7907 | 34.9373 | ||
t = 16 | 34.5464 | 34.4744 | 34.1420 | ||
Peppers (256 × 256) | Max | t = 1 | 36.4659 | 36.5146 | 36.7284 |
t = 2 | 36.8068 | 36.5124 | 37.1701 | ||
t = 4 | 36.6284 | 36.4531 | 37.0168 | ||
t = 8 | 37.1965 | 36.6096 | 37.0168 | ||
t = 16 | 37.6965 | 36.7270 | 37.8743 | ||
Min | t = 1 | 36.1021 | 35.9480 | 36.0183 | |
t = 2 | 35.9979 | 36.0554 | 35.2744 | ||
t = 4 | 35.4798 | 35.7992 | 35.6017 | ||
t = 8 | 34.2548 | 35.9329 | 35.6017 | ||
t = 16 | 17.7105 | 34.3432 | 15.4983 | ||
Mean | t = 1 | 36.3395 | 36.2944 | 36.3954 | |
t = 2 | 36.3561 | 36.3110 | 36.2393 | ||
t = 4 | 36.0967 | 36.1344 | 36.4202 | ||
t = 8 | 35.9423 | 36.1665 | 36.4202 | ||
t = 16 | 35.3987 | 35.7520 | 35.4352 | ||