IEEE transactions on signal processing, 2003-01, Vol.51 (1), p.101-111
2003
Details
- Autor(en) / Beteiligte
- Titel
- Harmonic decomposition of audio signals with matching pursuit
- Ist Teil von
- IEEE transactions on signal processing, 2003-01, Vol.51 (1), p.101-111
- Ort / Verlag
- New York, NY: IEEE
- Erscheinungsjahr
- 2003
- Link zum Volltext
- Quelle
- IEEE Electronic Library (IEL)
- Beschreibungen/Notizen
- We introduce a dictionary of elementary waveforms, called harmonic atoms, that extends the Gabor dictionary and fits well the natural harmonic structures of audio signals. By modifying the "standard" matching pursuit, we define a new pursuit along with a fast algorithm, namely, the fast harmonic matching pursuit, to approximate N-dimensional audio signals with a linear combination of M harmonic atoms. Our algorithm has a computational complexity of O(MKN), where K is the number of partials in a given harmonic atom. The decomposition method is demonstrated on musical recordings, and we describe a simple note detection algorithm that shows how one could use a harmonic matching pursuit to detect notes even in difficult situations, e.g., very different note durations, lots of reverberation, and overlapping notes.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 1053-587XeISSN: 1941-0476DOI: 10.1109/TSP.2002.806592Titel-ID: cdi_proquest_miscellaneous_28331727
- Format
- –
- Schlagworte
- Algorithms, Applied sciences, Approximation, Audio signals, Computational complexity, Computer Science, Decomposition, Detection algorithms, Detection, estimation, filtering, equalization, prediction, Dictionaries, Engineering Sciences, Exact sciences and technology, Fourier transforms, Frequency, Harmonic analysis, Harmonics, Information, signal and communications theory, Matching, Matching pursuit algorithms, Pursuit algorithms, Recording, Signal analysis, Signal and communications theory, Signal and Image Processing, Signal representation. Spectral analysis, Signal, noise, Telecommunications and information theory