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