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Table 33 Performance analysis of the Deterministic DCT sensing matrix

From: Application of 1-D discrete wavelet transform based compressed sensing matrices for speech compression

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

15

1.336874

0.0570

0.9532

0.4165

0.032836

2048

410

0.2

50

1024

16

2.309603

0.0537

0.8974

0.9405

0.060471

2048

512

0.25

50

1024

17

3.773514

0.0511

0.8543

1.3682

0.110442

2048

614

0.3

50

1024

16

4.122633

0.0510

0.8525

1.3858

0.087157

2048

849

0.4

50

1024

14

5.822766

0.0494

0.8259

1.6617

0.117717

2048

1024

0.5

50

1024

14

9.058112

0.0478

0.7981

1.9592

0.213083

2048

1229

0.6

50

1024

15

12.369809

0.0472

0.7889

2.0593

0.170241

2048

1434

0.7

50

1024

13

14.324836

0.0469

0.7832

2.1224

0.198500

2048

1536

0.75

50

1024

13

18.236878

0.0468

0.7825

2.1303

0.323367

2048

1638

0.8

50

1024

13

18.600745

0.0468

0.7820

2.1363

0.225549

2048

1843

0.9

50

1024

12

21.461995

0.0468

0.7816

2.1409

0.253978

2048

2048

1.00

50

1024

9

21.893476

0.0468

0.7815

2.1409

0.438310