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

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Table 31 Performance analysis of the random Toeplitz 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	21	1.756908	0.0536	0.8957	0.9104	0.409620
2048	410	0.2	50	1024	22	3.233689	0.0498	0.8315	1.5469	0.429934
2048	512	0.25	50	1024	21	4.788428	0.0493	0.8232	1.7366	0.469536
2048	614	0.3	50	1024	20	5.355458	0.0483	0.8068	1.8057	0.450123
2048	849	0.4	50	1024	20	8.429285	0.0474	0.7918	2.0918	0.471607
2048	1024	0.5	50	1024	20	13.439433	0.0469	0.7841	2.1270	0.544915
2048	1229	0.6	50	1024	21	17.961354	0.0467	0.7797	2.1501	0.503870
2048	1434	0.7	50	1024	21	23.162537	0.0467	0.7806	2.1523	0.524939
2048	1536	0.75	50	1024	23	32.312776	0.0467	0.7806	2.1511	0.626275
2048	1638	0.8	50	1024	24	35.325303	0.0467	0.7807	2.1490	0.549642
2048	1843	0.9	50	1024	27	49.591100	0.0467	0.7812	2.1453	0.562993
2048	2048	1.0	50	1024	6	18.351954	0.0468	0.7815	2.1409	0.695494