Michael Goodwin, "Matching pursuit with damped sinusoids," in ICASSP, 1997. Home/Search Document Details and Download
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....PURNHAGEN et al. SPEEDING UP HILN MPEG 4 PARAMETRIC AUDIO ENCODING 4. 1 Sinusoid Extraction by Matching Pursuit Matching pursuit refers to an iterative method for computing signal decompositions in terms of a linear combination of vectors #g m from a highly redundant dictionary with M elements [24, 25, 26]. It is a greedy algorithm in that at each stage i of the iteration the vector #g m i in the dictionary is found that best matches the current residual #r i . The algorithm is started with a windowed segment r 1 [n] x[n]w[n] of the input signal x[n] as first residual #r 1 . The window w[n] ....
M. Goodwin, "Matching Pursuit With Damped Sinusoids," Proc. IEEE ICASSP, 1997. AES 109th CONVENTION, LOS ANGELES, SEPTEMBER 22-25 23 PURNHAGEN ET AL. SPEEDING UP HILN -- MPEG-4 PARAMETRIC AUDIO ENCODING
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M. Goodwin, "Matching pursuit with damped sinusoids," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Apr. 1997.
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....where the only new computation required for the correlation update is the dictionary cross correlation term hg; g m(i) i, which can be precomputed and stored. 3. TIME FREQUENCY DICTIONARIES Matching pursuit can be viewed as a method of finding sparse approximate solutions to inverse problems [11]. This is equivalent to deriving sparse signal decompositions in terms of arbitrary dictionaries of expansion functions. Such decompositions are not particularly useful, however, unless the functions correspond to relevant signal structures. Thus, overcomplete dictionaries consisting of atoms that ....
.... time index is simplified based on the exponential structure of the atoms, which results in a recursion relation between correlations at neighboring times: ae(a; Gamma 1) ae Gammaj ae(a; 10) where the omitted terms are corrections to account for truncation of the atoms [11]. This relation is simply a onepole filter; it suggests interpreting the exhaustive correlation computation as an application of the signal to a dense grid of one pole filters, which are the matched filters for the dictionary atoms. A further simplification can be achieved if the dictionary has a ....
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M. Goodwin. Matching pursuit with damped sinusoids. ICASSP Proceedings, 1997.
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Goodwin M. Matching Pursuit with damped sinusoids, Proc. Int. Conf. on ASSP 1997. 37, 41, 42, 160.
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