In this video, we'll take a step back and look at the impulse signal and all the intricacies behind it. We'll learn that an impulse signal contains sinusoids of all possible frequencies and build our intuition towards this fact with the help of some python code. We'll look at another mathematical function called the sinc function and see how the sinc function in continuous time is equivalent to the impulse signal in discrete time.

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Content:
0:00 Introduction
1:14 Generating impulse
3:41 Intuition
7:02 Sinc function
9:43 Conclusion

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References:
Designing Audio Effect Plugins in C++, Will C. Pirkle -
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Introduction to Digital Filters, Julius O. Smith - [ Ссылка ]
David Dorran - Intro to the impulse signal - [ Ссылка ]

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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