Adaptive characterization of jitter noise in sampled high-speed signals

Abstract

We estimate the root-mean-square (RMS) value of timing jitter noise in simulated signals similar to measured highspeed sampled signals. The simulated signals are contaminated by additive noise, timing jitter noise, and time shift errors. Before estimating the RMS value of the jitter noise, we align the signals (unless there are no time shift errors) based on estimates of the relative shifts from cross-correlation analysis. We compute the mean and sample variance of the aligned signals based on repeated measurements at each time sample. We estimate the derivative of the noise-free signal based, in part, on a regression spline fit to the average of the aligned signals. Our initial estimate of the RMS value of the jitter noise depends on estimated derivatives and sample variances at time samples where the magnitude of the estimated derivative exceeds a selected threshold. This initial estimate is generally biased. Using a parametric bootstrap approach, we adaptively adjust this initial estimate of the RMS value of the jitter noise based on an estimate of this bias. We apply our method to real data collected at NIST. We study how results depend on the derivative threshold.

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“…This model of the jitter was described and analysed in detail in Refs. [33] and [34], where it was shown that the noise floor is dependent on the input sinusoidal frequency. During the simulation, the value of jitter was 1ns (standard deviation τ ) [32,35].…”

Modified formula for calculation of active power and root-mean-square value of band-limited alternating current signals

“…Since the presence of noise and jitter causes false detection of signal ZC moments, there is a separate model that simulates their impact on the voltage signal that is processed according to the proposed algorithm. All Taylor expansions of jitter are biased [26]; therefore the correct way to include jitter is to include a variable delay in the signal path. The model by which the jitter presence is simulated is made up of the pulse generator and random number, whose outputs are taken to the circuit with the variable transport delay.…”

A new time-domain method for calculation of basic electric values in public distribution networks

“…All Taylor expansions of jitter are biased (Coakley et al, 2003); therefore, the correct way to include jitter is to include a variable delay in the signal path. The model by which the jitter presence is simulated is made of the pulse generator and random number, whose outputs are taken to the circuit with the variable transport delay.…”

“…Since the presence of the noise and jitter causes false detection of signal ZC moments, there is a separate model that simulates their impact on the voltage and current signals that is processed according to the proposed algorithm. All Taylor expansions of jitter are biased (Coakley et al, 2003); therefore, the correct way to include jitter is to include a variable delay in the signal path. The model by which the jitter presence is simulated is made of the pulse generator and random number, whose outputs are taken to the circuit with the variable transport delay.…”