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 | −0.2912 | 1.70 | 2 | | 0.8667 | 0.5406 | 0.5912 | 0.3613 | 0.0320 | −0.5598 | 0.1986 | −0.3314 | −0.2945 | 1.50 | 3 | | 0.8651 | 0.5380 | 0.5901 | 0.3604 | 0.0322 | −0.5479 | 0.1983 | −0.3289 | −0.2954 | 1.20 | 4 | | 0.8654 | 0.5478 | 0.5925 | 0.3598 | 0.0307 | −0.5439 | 0.1869 | −0.3302 | −0.2959 | 0.90 | 5 | | 0.8640 | 0.5448 | 0.5917 | 0.3583 | 0.0298 | −0.5432 | 0.1858 | −0.3298 | −0.2962 | 0.70 | 6 | | 0.8642 | 0.5436 | 0.5898 | 0.3572 | 0.0305 | −0.5435 | 0.1858 | −0.3304 | −0.2975 | 0.60 | 7 | | 0.8624 | 0.5416 | 0.5886 | 0.3557 | 0.0292 | −0.5429 | 0.1846 | −0.3268 | −0.2981 | 0.49 | 8 | | 0.8629 | 0.5398 | 0.5891 | 0.3582 | 0.0297 | −0.5432 | 0.1879 | −0.3223 | −0.3021 | 0.42 | 9 | | 0.8659 | 0.5426 | 0.5925 | 0.3480 | 0.0276 | −0.5479 | 0.1845 | −0.3429 | −0.2905 | 0.20 | 10 | | 0.8636 | 0.5411 | 0.5898 | 0.3558 | 0.0296 | −0.5422 | 0.1853 | −0.3278 | −0.3003 | 0.22 | 11 | | 0.8655 | 0.5409 | 0.5910 | 0.3473 | 0.0283 | −0.5446 | 0.1858 | −0.3391 | −0.2900 | 0.25 |
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