Model-based Matching Pursuit - Estimation of Chirp Factors and Scale of Gabor Atoms with Iterative Extension
نویسندگان
چکیده
By definition, the Matching Pursuit algorithm with constant (or “flat”) Gabor atoms provides a coarse estimate of frequency modulated sinusoids in music and voice signals. Chirped Gabor atoms, closer to the nature of these signals, would fit them in a finer and sparser way. Though a method for the direct analytic estimation of chirped Gabor atoms has been proposed in the past [1], the present article proposes an alternative method where the chirp factor and scale parameter are estimated through a regression over an iteratively selected chain of small-scale atoms defined by a Short Time Fourier Transform. This new technique suits the Matching Pursuit framework, and is compared with a “flat atoms” version of the algorithm. The influence of various frequency interpolation techniques over the sparsity of the resulting representation is also studied.
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