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Buneman Frequency Estimator (G Dataflow)

Version:
    Last Modified: January 9, 2017

    Estimates the frequency of a given sine wave of unknown frequency using the Buneman algorithm.

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    x

    The sampled signal at consecutive times.

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    error in

    Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

    Default: No error

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    beta

    The frequency estimation of the sine wave that the sampled signal represents. This output is the index of the maximum frequency and a noninteger.

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    error out

    Error information. The node produces this output according to standard error behavior.

    Using the Buneman Algorithm to Calculate the Frequency

    If an underlying time signal is not exactly periodic with period n, where n denotes the size of the data array, you can use the Buneman algorithm to calculate the unknown frequency 0 ≤ f0f1f2f3 < 0.5fs.

    The following formula describes the Buneman algorithm:

    β = b + n π a tan ( ( sin π n ) cos π n + | F b ( x ) | | F b + 1 ( x ) | )

    where b is the frequency and Fb is the value of the Fourier transform of the input signal X at b. You can determine the value of b using the greatest value of | F b ( X ) | .

    The formula for β is exact for pure sine waves and a good estimation in all other cases.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported


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