Fractional Resonance-Based 𝑅𝐿_𝛽𝐶_𝛼 Filters

Table 4

Component values to realize 4th order approximations of fractional order capacitors with a center frequency of 1 kHz.

Component	Values
	𝐶=1𝜇F	𝐶=1𝜇F	𝐶=12.6𝜇F	𝐶=0.382𝜇F	𝐶=1𝜇F
	𝛼=0.1	𝛼=0.5	𝛼=0.5	𝛼=0.9	𝛼=0.9
𝑅𝑎 (Ω)	274.7 k	1.402 k	111.1	6.8	2.6
𝑅𝑏 (Ω)	81.9 k	3.17 k	251.7	43.3	16.5
𝑅𝑐 (Ω)	56.1 k	4.78 k	378.7	130.7	49.9
𝑅𝑑 (Ω)	66.3 k	11.2 k	888.9	670.4	255.9
𝑅𝑒 (Ω)	154.1 k	92.9 k	7369.7	146189.7	55789.8
𝐶𝑏 (nF)	0.165	6.64	68.9	705	1846
𝐶𝑐 (𝜇F)	0.0015	0.023	0.296	1.13	2.97
𝐶𝑑 (𝜇F)	0.0052	0.043	0.537	1.03	2.69
𝐶𝑒 (𝜇F)	0.015	0.055	0.695	0.207	0.544