# Complementary Filters Shaping Using $\mathcal{H}_\infty$ Synthesis
Author: Thomas Dehaeze

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# Complementary Filters Shaping Using \(\mathcal{H}_\infty\) Synthesis
Dehaeze Thomas, Verma Mohit and Collette Christophe

> Abstract:

> For many applications, large bandwidth and dynamic ranges are requiring to use several sensors, whose signals are combined using complementary filters. This paper presents a method for designing these complementary filters using \(\mathcal{H}_\infty\) synthesis that allows to shape the filter norms. This method is shown to be easily applicable for the synthesis of complex complementary filters.

## Paper (link)

The paper has been created Org Mode (generating LaTeX code) under Emacs.

## Matlab Scripts (link)

All the Matlab code that was used for the paper are accessible so that all the results are reproducible.

## Tikz Figures (link)

All the figures for the paper have been generated using TikZ.