.. _auto_curve_variance:

*COMPUTE POINT-WISE SQ-DIFFERENCE WITH VARIANCEFFT*
===================================================

Computes the point-wise squared difference of a curve from its variance, using an FFT-based variance calculation. Use this worker to quantify how much each sample point deviates (in squared terms) from the signal's overall variance.

When to use
-----------

Classification: **process**.

Tagged: ``curve``, ``fft``, ``point-wise``, ``signal``, ``squared_difference``, ``transform``, ``variance``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve
     - curve
     - vector
     - —
     - 
     - Input time-history or XY curve (vector of paired X/Y values) whose point-wise squared deviation from variance will be computed; optional — leave unconnected only if the worker is used in a default/passthrough context.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - Sq Difference from Variance
     - curve_variance_o1
     - vector
     - Output curve (vector) containing the point-wise squared difference between each sample of the input curve and the FFT-derived variance of the signal.

Disciplines
-----------

- data.curve.transform
- data.signal_processing

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curve_variance <https://www.d3view.com/api/workflow/example?id=curve_variance>`_

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_variance</code>. Schema hash: <code>f1d20bd21487</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>