Derivative Extrapolation Using Least Squares
Abstract
Here, we present three methods for differentiating discrete sets from streaming processes, e.g. WIFI. One approach is based on optimization of the well-known Savitzky-Golay algorithm. These methods are tested on synthetic data sets and will be implemented on subsets of a real university campus WIFI data set. The applicability of all methods are discussed, where we provide insights on both some of their benefits and pitfalls. This article ends with our conclusion on which method is better for our WIFI data.
Cite
@article{arxiv.2110.02167,
title = {Derivative Extrapolation Using Least Squares},
author = {Nick Butler and Ian Faber and Boris Shapoval and Armen Davis and Peter Borrell and Jake Mcgrath},
journal= {arXiv preprint arXiv:2110.02167},
year = {2021}
}
Comments
Key Words: Least Squares, Derivative Extrapolation, Savitzky-Golay, Singular Spectrum Analysis (SSA), WIFI data, data-driven methods. Faculty Sponsors University of Colorado Boulder: Dr. James H. Curry, Departments of Applied Mathematics and Computer Science and Dr. Daniel Massey, Department of Computer Science