International Scholarly Research Notices

Research Article

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

Table 1

Coefficients and maximum PARE for different frequency ranges of second-order integrator.
S. no.Frequency range (radians/second) Maximum PARE
10.01 ≤ ω ≤ π+0.8580+0.6010+0.0545−0.4798−0.51761.80
20.02 ≤ ω ≤ 0.99π+0.8599+0.6030+0.0582−0.4772−0.51001.50
30 ≤ ω ≤ 0.98π+0.8631+0.5897+0.0530−0.4982−0.50341.00
40 ≤ ω ≤ 0.97π+0.8657+0.5918+0.0534−0.4975−0.50250.70
50.01 ≤ ≤ 0.96π+0.8650+0.5993+0.0539−0.4834−0.51450.37
60.01 ≤ ω ≤ 0.95π+0.8640+0.5900+0.0544−0.4940−0.50170.45
70.01 ≤ ω ≤ 0.94π+0.8660+0.5920+0.0526−0.4890−0.50510.50
80.02 ≤ ω ≤ 0.93π+0.8676+0.5937+0.0531−0.4863−0.50340.75
90.02 ≤ ω ≤ 0.92π+0.8634+0.5920+0.0519−0.4854−0.50420.40
100.03 ≤ ω ≤ 0.91π+0.8615+0.5991+0.0538−0.4736−0.51390.44
110.03 ≤ ω ≤ 0.90π+0.8598+0.5981+0.0543−0.4721−0.51210.51