Transformation of a sensor or actuator system into a unitary gain element

The main objective here is to eliminate harmonic generation from sensor or actuator systems and to compensate the system losses. If a good model of the system in the time domain is available and the system is time-invariant and continuous, a Volterra series can be constructed by using Associated Linear Equations (ALEs) for both the direct and inverse series. Sensors and actuators such as those designed from the smart technology point of view possess limitations because of non-linear behaviour. A proper Volterra inverse not only eliminates the non-linear behaviour but also compensates the system losses and under appropriate conditions, eliminates transient perturbations of the system allowing more accurate devices with more widespread usage. This work takes advantage of the ALEs to analyse the composition of the pre-inverse and post-inverse Volterra series. The signal is analysed step by step as it passes through the inverse array. Among other characteristics it is found that for certain systems the Volterra inverse can be finite. The effect of the noise on the inverse array performance is also investigated.