Table 32 Performance analysis of the random Circulant sensing matrix
Length of signal (N) | Number of measurements (m) | Compression ratio (CR = m/N) | Sparsity level = (k/N) × 100 (%) | No. of non-zeros (k) | No. of iterations required | Signal reconstruction time (s) | RMSE | Relative error | SNR (db) | Construction time for sensing matrix (s) |
|---|---|---|---|---|---|---|---|---|---|---|
2048 | 205 | 0.1 | 50 | 1024 | 26 | 2.507042 | 0.0597 | 0.9968 | 0.4222 | 2.757110 |
2048 | 410 | 0.2 | 50 | 1024 | 24 | 3.729785 | 0.0510 | 0.8516 | 1.5673 | 1.755148 |
2048 | 512 | 0.25 | 50 | 1024 | 22 | 5.278771 | 0.0491 | 0.8206 | 1.7278 | 1.819234 |
2048 | 614 | 0.3 | 50 | 1024 | 19 | 5.237320 | 0.0480 | 0.8021 | 1.9582 | 1.813663 |
2048 | 849 | 0.4 | 50 | 1024 | 18 | 8.220705 | 0.0470 | 0.7846 | 2.1030 | 1.845629 |
2048 | 1024 | 0.5 | 50 | 1024 | 17 | 11.916562 | 0.0468 | 0.7825 | 2.1335 | 1.917508 |
2048 | 1229 | 0.6 | 50 | 1024 | 16 | 14.656704 | 0.0468 | 0.7816 | 2.1404 | 1.857957 |
2048 | 1434 | 0.7 | 50 | 1024 | 15 | 17.577009 | 0.0468 | 0.7816 | 2.1408 | 1.852721 |
2048 | 1536 | 0.75 | 50 | 1024 | 16 | 23.864195 | 0.0468 | 0.7816 | 2.1408 | 2.020327 |
2048 | 1638 | 0.8 | 50 | 1024 | 15 | 23.451971 | 0.0468 | 0.7816 | 2.1409 | 1.893177 |
2048 | 1843 | 0.9 | 50 | 1024 | 12 | 25.954229 | 0.0468 | 0.7815 | 2.1409 | 1.914215 |
2048 | 2048 | 1.0 | 50 | 1024 | 8 | 24.190480 | 0.0468 | 0.7815 | 2.1409 | 2.065995 |