Research Article
Analysis and Design of Digital IIR Integrators and Differentiators Using Minimax and Pole, Zero, and Constant Optimization Methods
Table 2
Coefficients and maximum PARE for different frequency ranges of third-order integrator.
| S. no. | Frequency range (radians/second) | | | | | | | | Maximum PARE |
| 1 | | 0.8692 | 0.9978 | 0.2464 | 0.0054 | −0.0252 | −0.8285 | −0.1506 | 1.60 | 2 | | 0.8684 | 0.9967 | 0.2475 | 0.0059 | −0.0265 | −0.8274 | −0.1490 | 1.40 | 3 | | 0.8598 | 0.9765 | 0.2558 | 0.0078 | −0.0219 | −0.7706 | −0.1592 | 1.10 | 4 | | 0.8585 | 0.9760 | 0.2567 | 0.0068 | −0.0237 | −0.7712 | −0.1587 | 0.90 | 5 | | 0.8662 | 0.9987 | 0.2470 | 0.0056 | −0.0239 | −0.8286 | −0.1478 | 0.80 | 6 | | 0.8629 | 0.9981 | 0.2519 | 0.0094 | −0.0218 | −0.8287 | −0.1473 | 0.70 | 7 | | 0.8626 | 0.9993 | 0.2514 | 0.0083 | −0.0210 | −0.8292 | −0.1467 | 0.45 | 8 | | 0.8639 | 0.9997 | 0.2471 | 0.0058 | −0.0220 | −0.8315 | −0.1442 | 0.30 | 9 | | 0.8666 | 0.9960 | 0.2503 | 0.0071 | −0.0314 | −0.8223 | −0.1450 | 0.40 | 10 | | 0.8676 | 0.9982 | 0.2492 | 0.0061 | −0.0353 | −0.8251 | −0.1486 | 0.42 | 11 | | 0.8689 | 0.9909 | 0.2478 | 0.0088 | −0.0495 | −0.8259 | −0.1423 | 0.50 |
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