In this video, we'll talk about the feedback topology and discover how choosing different coefficients can result in wildly different frequency responses and the idea that a filter can now be unstable for certain values and what that means in reality.
Find the full playlist here: https://www.youtube.com/watch?v=Qmd685msY-Y&list=PLbqhA-NKGP6Afr_KbPUuy_yIBpPR4jzWo
Content:
0:00 Feedback topology
1:52 Difference equation
4:17 Feedback filter plugin demo
6:21 Time domain response of filter to different frequencies
7:16 Negative b1 coefficient
9:26 Filter instability
11:39 Positive b1 coefficient
Repository:
https://github.com/Thrifleganger/filter-basics
References:
Designing Audio Effect Plugins in C++, Will C. Pirkle -
https://www.willpirkle.com/about/books/
Introduction to Digital Filters, Julius O. Smith - https://ccrma.stanford.edu/~jos/filters/
In this series on Digital Filter Basics, we'll take a slow and cemented dive into the fascinating world of digital filter theory. Many resources present this topic with dense and exhausting mathematics. Although a fair understanding of complex mathematics is required to fully comprehend the science of filter design, understanding the basics of filters and how they fundamentally work is better left to analysis and visualizations, which I try to do in this series. We'll learn about feedforward and feedback filter topologies, impulse and impulse responses and and wide variety of other topics.
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A lot of time was spent on creating this series, and I plan to do more. So please consider subscribing if you wish to be notified about more releases in the future. And if you feel generous: https://www.patreon.com/akashmurthy
Check out my music here: https://farfetchd-official.bandcamp.com/
Check out the audio track in the intro and outro here: https://soundcloud.com/thrifleganger/tinderbox
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