Reevaluating the performance of the Double Exponential Smoothing filter and its Control Parameters

TL;DR

This paper reevaluates the Double Exponential Smoothing (DES) filter's performance, analyzing how its parameters affect stability and frequency response, and suggests optimal parameter values for filtering applications.

Contribution

The study provides a comprehensive assessment of DES as a filter, identifying suitable parameter ranges and analyzing their impact on stability and frequency characteristics.

Findings

Parameters near 0.5 yield optimal filtering performance

Stability and frequency response depend on smoothing parameters

Recommended parameter values improve DES filtering effectiveness

Abstract

Double Exponential Smoothing (DES) has broad application in various fields primarily as a forecasting tool. The values of the two smoothing parameters and , involved in DES, are traditionally chosen by the users which yield minimum MSE. In this work the authors endeavor to assess the performance of the DES as a filter and tried to suggest the suitable values of the and for which DES perform best as a filter. In this regard along with the conventional MSE method, the dependency of the stability and other aspects associated with the frequency response of the filter like transfer function, cutoff frequency, bandwidth and center frequency on the smoothing parameters are also studied. The values of the parameters close to 0.5 are found to be most appropriate when DES acts as a filter.