Agglomerative clustering in sparse atomic decompositions of audio signals

We present a correlation-based algorithm for the agglomerative clus-tering of atoms in sparse atomic decompositions of audio signals. Our goal is to demonstrate useful relationships between elements of the decomposition and the content of the original signal, for such purposes as analysis and modification. We evaluate the performance of the agglomeration algorithm using decompositions of synthetic and real audio signals, and discuss possible extensions of this work. Index Terms — Clustering methods, signal analysis, signal res-olution, time-frequency analysis. 1