Fractional-order Integrator - Analog Devices

Analog Devices

Analog devices have the ability to retain history over longer intervals. This translates into the parameter a staying constant, while t increases.

There is no error due to round-off, as in the case of digital devices, but there may be error in the device due to leakages, and also unexpected variations in behavior caused by heat and noise.

An example fractional-order integrator is a modification of the standard integrator circuit, where a capacitor is used as the feedback impedance on an opamp. By replacing the capacitor with an RC Ladder circuit, a half order integrator, that is, with

can be constructed.

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