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WVD Spectrogram (G Dataflow)

Version:
    Last Modified: January 9, 2017

    Computes the energy distribution of the input signal in the joint time-frequency domain using the Wigner-Ville distribution (WVD) algorithm.

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    x

    The input time-domain signal.

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    time increment

    Time intervals, in units of samples, of the Wigner-Ville Distribution (WVD).

    Performance Considerations

    Increasing time increment decreases the computation time and reduces memory requirements but also reduces time-domain resolution. Decreasing time increment improves time-domain resolution but increases the computation time and memory requirements.

    Default: 1

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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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    WVD spectrogram

    The energy distribution of the input signal in the joint time-frequency domain.

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    error out

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

    Using the Wigner-Ville Distribution (WVD) Algorithm to Calculate the Spectrogram

    For a discrete signal X, with an analytic associate of Z, the following equation defines the Wigner-Ville Distribution (WVD) of the analytic associate, WVD Z ( n , f ) :

    WVD Z ( n , f ) = 2 k = Z ( n + k ) Z * ( n k ) e j 4 π f k

    where

    • n is the index in the time domain
    • f is the index in the frequency domain
    • Z is the analytic associate defined as X + i * H [ X ] , where H [ X ] is the Hilbert Transform of X

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: Not supported


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