AN OPTIMAL DESIGN OF IIR DIGITAL FILTER USING PARTICLE SWARM OPTIMIZATION

Figures & data

FIGURE 1 Pseudocode of PSO.

FIGURE 2 Flow chart of the digital filter design.

FIGURE 3 Magnitude response of the low-pass filter. (Color figure available online.)

FIGURE 4 Phase response of the low-pass filter. (Color figure available online.)

FIGURE 5 Pole-zero position of the low-pass filter using (a) PSO; (b) FDA. (Color figure available online.)

TABLE 1 Coefficients of Low-pass Filter Designed with Third Order

Coefficients	FDA tool	GA based	Proposed method
a 0	1	0.3667	0.3525
a 1	2	0.7213	0.7213
a 2	1	0.3525.	0.3525
b 1	1	1	1
b 2	0.0214	0.3116	0.2116
b 3	0.17165	0.1790	0.17235

TABLE 2 Results of MSE of Low-pass Filter

Name of method	Order of filter	MSE
FDA tool	3	1.1717
GA based	3	0.3180
Proposed method	3	0.3072

FIGURE 6 Magnitude response of the high-pass filter. (Color figure available online.)

FIGURE 7 Phase response of the high-pass filter. (Color figure available online.)

FIGURE 8 Pole-zero position of the high-pass filter using (a) PSO; (b) FDA. (Color figure available online.)

TABLE 3 Coefficients of High-pass Filter Designed with Fifth Order

Coefficients	FDA tool	GA based	Proposed method
a 0	0.0028	0.0026	0.0030
a 1	−0.0143	−0.0140	−0.0141
a 2	0.0286	0.0256	0.0309
a 3	−0.0286	−0.0290	−0.0264
a 4	0.143	0.0143	0.0144
a 5	−0.0028	−0.0028	−0.0025
b 1	1.0	1.0	1.0
b 2	2.555	2.5868	2.1849
b 3	2.958	2.9197	2.9575
b 4	1.82	1.7798	1.8883
b 5	0.589	0.6026	0.5772
b 6	0.079	0.0693	0.0765

TABLE 4 Results of MSE of High-pass Filter

Name of method	Order of filter	MSE
FDA tool	5	1.6638
GA based	5	1.6461
Proposed method	5	1.5356