Abstract
Detailed calculations of the root-mean-square value of the output noise of correlators with an exponentially weighted average and an arbitrarily chosen weighting function for three commonly used mathematical models of white noise are derived. A comparative analysis has been made of noise properties of correlators with exponentially weighted average and true average based on two figures of merits: the output signal-to-noise ratio and the signal-to-noise improvement ratio. An analysis of noise properties of a boxcar averager for any gate width is performed. Expressions for the output signal-to-noise ratio and the signal-to-noise improvement ratio of a boxcar averager are derived.
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