Introducing Fractional-Order Dynamics to Sigma–Delta Modulators

The aim of the present paper is to investigate the performance of a fractional-order sigma–delta modulator wherein the integer-order integrator is replaced by a fractional integrator of order $$ \alpha \,(1 <\alpha < 2)$$α(1<α<2). A generalized approach to both linear frequency domain and non-linear time domain modeling and characterization of fractional-order sigma–delta modulator has been discussed. The performance of such modulator has been studied and compared with the corresponding integer-order modulators through simulation.

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