SOME RESULTS ON THE VALIDATION OF WIDROW’S MODEL FOR SINUSOIDAL SIGNALS

J.F.M.L. Mariano, Helena Ramos

Abstract

Some results on the validity of Widrow’s model of quantizing sinusoidal signals in a uniform quantizer are presented. Sripad and Snyder’s formulation is used to derive a general equation for the probability density function of the quantization noise, for a generic sinusoidal signal, which is applied to different types of sinusoids. The equations obtained in this way are numerically evaluated to characterize the quantization noise by means of its average and variance. In this calculation, a novel method to accelerate the series convergence has been used. The results obtained provide a confirmation that Widrow’s model can only be applied to sinusoids when their amplitudes are much larger then the quantization step.

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IMEKO TC

TC4 - Measurement of Electrical Quantities

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