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Table 37 Information based evaluation of speech quality and selection of the best basis sensing matrices

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

Sr. no.

Different sensing matrices

Entropy of original speech signal

Entropy of reconstructed speech signal

Entropy of sensing matrix

1.

Daubechies

wavelet family

db1

10.2888

11.0000

0.1191

2.

db2

10.2888

11.0000

0.4663

3.

db3

10.2888

11.0000

0.6966

4.

db4

10.2888

11.0000

0.9066

5.

db5

10.2888

11.0000

1.0980

6.

db6

10.2888

11.0000

1.2699

7.

db7

10.2888

11.0000

1.4416

8.

db8

10.2888

11.0000

1.6132

9.

db9

10.2888

11.0000

1.7689

10.

db10

10.2888

11.0000

1.9047

11.

Coiflet wavelet family

coif1

10.2888

11.0000

0.6966

12.

coif2

10.2888

11.0000

1.2699

13.

coif3

10.2888

11.0000

1.7689

14.

coif4

10.2888

11.0000

2.1759

15.

coif5

10.2888

11.0000

2.5818

16.

Symmlet wavelet family

sym4

10.2888

11.0000

0.9066

17.

sym5

10.2888

11.0000

1.0980

18.

sym6

10.2888

11.0000

1.2699

19.

sym7

10.2888

11.0000

1.4416

20.

sym8

10.2888

11.0000

1.6132

21.

sym9

10.2888

11.0000

1.7689

22.

sym10

10.2888

11.0000

1.9047

23.

Battle wavelet family

Battle1

10.2888

11.0000

2.0789

24.

Battle3

10.2888

11.0000

3.1632

25.

Battle5

10.2888

11.0000

4.0745

26.

Other wavelet families

Beylkin

10.2888

11.0000

1.7689

27.

Vaidynathan

10.2888

11.0000

2.1759

28.

Random sensing matrices

Random Gaussian

10.2888

11.0000

21.0000

29.

Random uniform

10.2888

11.0000

21.0000

30.

Random Toeplitz

10.2888

11.0000

20.7505

31.

Random Circulant

10.2888

11.0000

11

32.

Random Hadamard

10.2888

11.0000

1

33.

Deterministic sensing matrices

DCT matrix

10.2888

11.0000

19.1415

34.

Sparse Binary

10.2888

11.0000

0.0659

35.

Classical approach

Wavelet compression

10.2888

9.7573

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