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This article introduces the {\Omega} counter, a frequency counter -- or afrequency-to-digital converter, in a different jargon -- based on the LinearRegression (LR) algorithm on time stamps. We discuss the noise of theelectronics. We derive the statistical properties of the {\Omega} counter onrigorous mathematical basis, including the weighted measure and the frequencyresponse. We describe an implementation based on a SoC, under test in ourlaboratory, and we compare the {\Omega} counter to the traditional {\Pi} and{\Lambda} counters. The LR exhibits optimum rejection of white phase noise,superior to that of the {\Pi} and {\Lambda} counters. White noise is the majorpractical problem of wideband digital electronics, both in the instrumentinternal circuits and in the fast processes which we may want to measure. The{\Omega} counter finds a natural application in the measurement of theParabolic Variance, described in the companion article arXiv:1506.00687[physics.data-an].

The Omega Counter, a Frequency Counter Based on the Linear Regression