One of the well known Swiss recorder manufacturers asked how to continue correcting a digital audio signal when the corrector code is overflowed. It was successfully done by a new method: Adaptative Lagrange interpolation with local filtering. The mute is done with the same algorithm. It is implemented in a DSP on a digital audio recorder together with the corrector code for a complete real-time correction.
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https://aes2.org/publications/elibrary-page/?id=6852
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