Insights Digital Filtering and Exact Reconstruction of Digital Audio

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The discussion focuses on the Sinc function's role in digital audio processing, particularly in relation to filtering and upsampling. It emphasizes that for practical purposes, bit depth can be considered infinite, allowing for precise calculations. The process of two times upsampling is introduced, highlighting its significance in improving audio quality. The Sinc function is essential in this context, as it serves as a mathematical tool for creating filters that enhance the fidelity of digital audio signals. Overall, the content underscores the importance of understanding the Sinc function in achieving high-quality audio processing.
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ToggleIntroductionThe Sinc FunctionUsing the Sinc Function
Introduction
This elaborates some of the claims in my insights article on digital audio.
The Sinc Function
The first link in my insights article has a section on filters, but I will detail the most critical case. The bit depth is assumed to be so large for all practical purposes that it is infinite, and all calculations are done at that resolution. To clarify the statement above, we will start with two times upsampling and how it is done. You put the...

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