Frequency estimation system

Electricity: measuring and testing – Measuring – testing – or sensing electricity – per se – Frequency of cyclic current or voltage

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324 77R, 364484, G01R 2314

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active

049839063

ABSTRACT:
A signal of interest is periodically sampled and the samples decomposed into quadrature components. The signal's phase angle at each sample is computed from the ratio of the real to imaginary parts. A linear regression analysis is then performed on the sampled phase data to obtain a best estimate of the signal's phase rate of change. From this estimate, the signal frequency is determined. In superheterodye instruments, the frequency of an input signal can be deduced by analyzing an intermediate frequency signal using this technique and factoring out the frequency of intervening local oscillator(s).

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Tretter, S. T., Estimating the Frequency of a Noisy Sinusoid by Linear Regression, IEEE Transactions of Information Theory, vol. IT-31, No. 6, Nov. 1985.

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