Modulation decompositions for the interpolation of long gaps in acoustic signals

This paper presents a modulation-based reconstruction method for audio signals across long gaps of missing samples. We use LTI filterbanks followed by a multiplicative model that decomposes subbands into constituent modulators and carriers. This processing separates slowly-varying envelopes, or modulators, from the high-frequency fine structure of the carriers. Since modulators can be downsampled, this decomposition allows faster gap reconstruction when applying standard interpolation algorithms on the downsampled modulators, particularly when interpolation requires matrix inversion.