KOWALSKI , Matthieu

We propose a new hybrid (or morphological) generative model that decomposes a signal into two (and possibly more) layers. Each layer is a linear combination of localised atoms from a time-frequency dictionary. One layer has a low-rank time-frequency structure while the other as a sparse structure. The time-frequency resolutions of the...

Many single-channel signal decomposition techniques rely on a low-rank factor-ization of a time-frequency transform. In particular, nonnegative matrix factoriza-tion (NMF) of the spectrogram – the (power) magnitude of the short-time Fourier transform (STFT) – has been considered in many audio applications. In this set-ting, NMF with the...