How DSP Filters Work

In this post I will be diving into how DSP filters work. We will cover fundamental concepts such as frequency and phase response plots. Once we have this ground work laid we will implement our knowledge by studying First Order Feed-Forward and First Order Feed-Back Filters. This information was gathered again from the book Designing Audio Effect Plugins in C++ For AAX, AU, and VST3 with DSP Theory by Will C. Pirkle (ISBN 13: 978-1138591936). Below you'll find my notes from Chapter 9 - How DSP Filters Work from Will's book. I hope you enjoy!