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

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Table 30 Performance analysis of the random Hadamard 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	24	2.160564	0.0543	0.9068	0.6816	0.175290
2048	410	0.2	50	1024	21	3.352213	0.0508	0.8486	1.5002	0.195649
2048	512	0.25	50	1024	21	5.245114	0.0488	0.8162	1.7910	0.227224
2048	614	0.3	50	1024	14	4.059570	0.0476	0.7959	1.7840	0.203726
2048	849	0.4	50	1024	14	7.103978	0.0483	0.8075	2.1509	0.238574
2048	1024	0.5	50	1024	17	12.420312	0.0469	0.7838	2.1742	0.312728
2048	1229	0.6	50	1024	20	18.202941	0.0468	0.7814	2.1341	0.262874
2048	1434	0.7	50	1024	24	28.330063	0.0468	0.7816	2.1400	0.281225
2048	1536	0.75	50	1024	21	32.017893	0.0467	0.7805	2.1406	0.400085
2048	1638	0.8	50	1024	23	47.091449	0.0467	0.7803	2.1407	0.304155
2048	1843	0.9	50	1024	26	70.684798	0.0467	0.7805	2.1408	0.318110
2048	2048	1.0	50	1024	9	31.953103	0.0468	0.7815	2.1408	0.463961