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Table 1 Result of approximation of synthetic functions

From: Coding Prony’s method in MATLAB and applying it to biomedical signal filtering

Number of functions gi[n] correctly approximated
N p LS TLS MPM
1024 30 902 811 990
40 868 499 1000
50 826 499 1000
100 997 322 1000
150 1000 315 1000
200 1000 375 1000
250 1000 358 1000
300 1000 288 1000
400 1000 224 1000
500 999 137 1000
512 30 941 741 1000
40 974 660 1000
50 996 682 1000
60 999 618 1000
70 1000 544 1000
100 1000 565 1000
150 1000 622 1000
200 1000 579 1000
220 1000 517 1000
250 999 516 1000
256 30 984 909 1000
40 998 872 1000
50 998 855 1000
60 1000 826 1000
70 1000 778 1000
80 1000 862 1000
90 1000 827 1000
100 1000 758 1000
110 1000 733 1000
120 996 758 1000
128 20 994 995 994
30 1000 960 1000
40 1000 956 1000
50 1000 931 1000
60 1000 910 1000
64 20 1000 1000 999
25 1000 969 1000
30 1000 970 1000
Average value per method \( \overline{\mathrm{LS}}=986.08 \) \( \overline{\mathrm{TLS}}=677.39 \) \( \overline{\mathrm{MPM}}=999.55 \)