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Propositions to widen the frequency bandwidth of an integrator

Propositions to widen the frequency bandwidth of an integrator

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The transfer function, T, of an ideal integrator is 1/τs. Its phase, equal to −π/2, is independent of the frequency value, whereas the gain decreases in a proportional way with this value of ω. However, on the one hand, it is usually necessary to limit the DC gain so that the transfer function takes the shape T=k/(1+kτs). On the other hand, the active components such as operational amplifiers (op. amps.) or current feedback operational amplifiers are not perfect and they bring a supplementary pole at a high frequency. Therefore the bandwidth where the integrator phase is equal to −π/2 is included between ωMIN and ωMAX. For a couple DC gain and an op. amp. given, increasing the ratio ωMAXMIN to a maximum is proposed.

References

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      • J. Bayard .  “A pole-zero” cancellation technique to realize a high-frequency integrator. IEEE Trans. Circuits Syst. I , 12 , 1500 - 1504
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      • R. Mita , G. Palumbo , S. Pennisi . Effect of CFOA nonidealities in Miller integrator cells. IEEE Trans. Circuits Syst. , 5 , 249 - 253
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      • M.A. Al-Alaoui . A novel approach to designing a non-inverting integrator with built-in low frequency stability, high frequency compensation and high Q. IEEE Trans. Instrum. Meas. , 1116 - 1121
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      • M.A. Al-Alaoui . A stable inverting integrator with an extended high-frequency range. IEEE Trans. Circuits Syst. II , 399 - 402
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