A Computational Fractional Signal Derivative Method

Table 1

Root mean-squared error for different fractional derivatives.

Item	Oscillator			Sine-cosine
Alpha	10 Hz	50 Hz	100 Hz	10 Hz	50 Hz	100 Hz
0.1	0.922	0.882	0.142	5.129	4.355	4.320
0.2	1.298	1.231	0.394	6.641	5.570	5.510
0.3	1.829	1.718	0.813	8.643	7.228	7.127
0.4	2.580	2.399	1.479	11.243	9.486	9.327
0.5	3.644	3.351	2.499	14.554	12.549	12.327
0.6	5.152	4.681	4.017	18.674	16.679	16.434
0.7	7.295	6.543	6.214	23.678	22.215	22.098
0.8	10.344	9.153	9.315	29.574	29.589	29.904
0.9	14.691	12.820	13.580	36.347	39.350	40.804
μ	5.376	4.753	4.272	17.154	16.335	16.427
σ	4.445	3.826	4.357	10.202	11.272	11.678