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OVERLAPPING ALLAN DEVIATION

Overlapping Allan Deviation Calculator

Calculate overlapping Allan deviation from equally spaced fractional-frequency observations.

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Compare every adjacent pair of m-sample mean windows, including overlapping start positions.

    OADEV²=Σ(mean next m−mean previous m)²/[2(N−2m+1)]

    Worked example

    For m1 and fractional offsets0,1e−9,0, the Allan deviation is1e−9/√2.

    Assumptions and input details

    Gap-free equal-duration fractional-frequency averages, not phase samples. No drift removal, dead-time correction, noise classification or confidence interval. Need at least2m observations.

    References: NIST: stability analysis handbook

    Unit definitions

    Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.

    NIST measurement tables

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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