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payman1-Visitor
1-Visitor
Apr 14, 2015 8:57 PM UTC
Solved

FFT uncertainty

Hello,

In the attached program, a series of frequencies is measured using Fourier Transformation. The slope of the measured frequencies vs the actual frequencies shows a linear relation but the slope is not exactly "1".

Could you please help me to understand why the slope is not exactly "1" ? Is the any analytic relation between the uncertainty and sampling specifications?

Thank you very much in advance.

Payman

RichardJAnswer
19-Tanzanite
Apr 14, 2015 10:00 PM UTC

The denominator in the calculation of delta_x should be N0-1, not N0 (if you have N0 data points, you have N0-1 gaps between them).

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2 replies

RichardJ19-TanzaniteAnswer
19-Tanzanite
Apr 14, 2015 10:00 PM UTC

The denominator in the calculation of delta_x should be N0-1, not N0 (if you have N0 data points, you have N0-1 gaps between them).

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    payman1-VisitorAuthor
    1-Visitor
    Apr 14, 2015 11:08 PM UTC

    Thank you very much.

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