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Recurrence relation for real-time audio fading

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  • Lucian Lupsa-Tataru

Abstract

Starting from shaping the audio fade profile by an invertible rational function, with playback position as the input, we derive a recurrence relation that enables the audio volume updating as long as the time domain discretization is carried out with a constant step size. The resulted recurrence relation yields the audio volume current value as rational function of its previous value only, thus being suitable for efficiently implementing real-time adjustable fades whenever the adopted programming language (or software framework) allows the invocation of timing events. A JavaScript implementation, prepared for straightaway experimentation, and put forward in the paper, highlights the convenience of associating the derived recurrence relation with the "setInterval()" method in order to perform real-time audio fades, which can resemble either the logarithmic shape fade or the fade of exponential shape.

Suggested Citation

  • Lucian Lupsa-Tataru, 2023. "Recurrence relation for real-time audio fading," Technium, Technium Science, vol. 12(1), pages 15-22.
    • Handle: RePEc:tec:techni:v:12:y:2023:i:1:p:15-22
    DOI: 10.47577/technium.v12i.9328
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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