Research Article

Analysis and Design of Digital IIR Integrators and Differentiators Using Minimax and Pole, Zero, and Constant Optimization Methods

Table 3

Coefficients and maximum PARE for different frequency ranges of fourth-order integrator.

S. no.Frequency range (radians/second) Maximum PARE

1 0.8658 0.5487 0.5904 0.3602 0.0275−0.5434 0.1837−0.3379 −0.29121.70
2 0.86670.5406 0.59120.3613 0.0320−0.5598 0.1986−0.3314 −0.29451.50
3 0.86510.5380 0.59010.3604 0.0322−0.5479 0.1983−0.3289−0.29541.20
4 0.86540.5478 0.59250.3598 0.0307−0.5439 0.1869−0.3302−0.29590.90
5 0.86400.5448 0.59170.3583 0.0298−0.5432 0.1858−0.3298−0.29620.70
6 0.86420.5436 0.58980.3572 0.0305−0.5435 0.1858−0.3304−0.29750.60
7 0.86240.5416 0.58860.3557 0.0292−0.5429 0.1846−0.3268−0.29810.49
8 0.86290.5398 0.58910.3582 0.0297−0.5432 0.1879−0.3223−0.30210.42
9 0.86590.5426 0.59250.3480 0.0276−0.5479 0.1845−0.3429−0.29050.20
10 0.86360.5411 0.58980.3558 0.0296−0.5422 0.1853−0.3278−0.30030.22
11 0.86550.5409 0.59100.3473 0.0283−0.5446 0.1858−0.3391−0.29000.25