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Filtering through a topological lens: homology for point processes on the time-frequency plane
Juan Manuel Miramont, Kin Aun Tan, Soumendu Sundar Mukherjee +2
We introduce a very general approach to the analysis of signals from their noisy measurements from the perspective of Topological Data Analysis (TDA). While TDA has emerged as a po…
Benchmarking multi-component signal processing methods in the time-frequency plane
Juan M. Miramont, Rémi Bardenet, Pierre Chainais +1
Signal processing in the time-frequency plane has a long history and remains a field of methodological innovation. For instance, detection and denoising based on the zeros of the s…
Unsupervised classification of the spectrogram zeros
Juan M. Miramont, François Auger, Marcelo A. Colominas +2
The zeros of the spectrogram have proven to be a relevant feature to describe the time-frequency structure of a signal, originated by the destructive interference between component…