Get the latest tech news
Noise Filtering Using €1 Filter (2020)
This article explains how to implement the 1€ Filter for filtering noisy real-time signals and provides a simple Python implementation of the algorithm.
$$\hat{X}_1 = X_1$$ $$\hat{X}_i = α X_i + (1-α) \hat{X} _{i-1},\quad i≥2 \tag{1} \label{1} $$where the smoothing factor $α∈[0, 1]$, instead of being a constant, is adaptive, that is, dynamically computed using information about the rate of change (speed) of the signal. The precise implementation of the algorithm depends on the programming language and paradigm in question. There are two configurable parameters in the model, the minimum cutoff frequency$f _{C _{min}}$ and the speed coefficient$β$.
Or read this on Hacker News