===================== Top Percentile Filter ===================== :doc:/WorkProcessClassifiers/LocalAlgorithm/index - :doc:/WorkProcessClassifiers/OneDimensionalAlgorithm/index *Top Percentile Filter* algorithm replaces the original data values with a chosen percentile of a certain number of neighbor points (e.g. their left :math:M and right :math:M data points). Note that the choice of filter width :math:L = 2M + 1 has a great impact on the processed results. It is equivalent to the *Centered Moving Median* algorithm if the 50th percentile is chosen. .. rubric:: Input Parameters +------------------------+------------------------------------------------+----------------------------------------------------------------+----------------------------------------------------------------------+---------+ | Parameter | Type | Constraint | Description | Remarks | +========================+================================================+================================================================+======================================================================+=========+ | :math:Y[n] | :math:Y[n] \in \mathbb R^N | :math:N \in \mathbb{N} | Input data sequence of length :math:N | | +------------------------+------------------------------------------------+----------------------------------------------------------------+----------------------------------------------------------------------+---------+ | :math:L | :math:L \in \mathbb N | :math:L = 2M + 1, \quad M \in \mathbb{N} | | | +------------------------+------------------------------------------------+----------------------------------------------------------------+----------------------------------------------------------------------+---------+ | :math:p | :math:p \in \mathbb{R} | :math:0 \leq p \leq 1 | A specified percentile of a certain number of data points considered | | +------------------------+------------------------------------------------+----------------------------------------------------------------+----------------------------------------------------------------------+---------+ .. rubric:: Output Parameters +--------------------------------+--------------------------------------------------------+----------------------------------------+---------------------------------------------------+---------+ | Parameter | Type | Constraint | Description | Remarks | +================================+========================================================+========================================+===================================================+=========+ | :math:\hat{Y}[n] | :math:\hat{Y}[n] \in \mathbb R^N | :math:N \in \mathbb{N} | Output data sequence of length :math:N | | +--------------------------------+--------------------------------------------------------+----------------------------------------+---------------------------------------------------+---------+ .. rubric:: Tool Support * :doc:/Tools/OriginLabTool/index .. rubric:: Single Steps using the Algorithm * :doc:/DataPreprocessing/DataCleaning/DataDenoising/DataDenoisingWithPercentileFilter/index