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The Fast Local Sparsity Method: A Low-Cost Combination of Time-Frequency Representations Based on the Hoyer Sparsity

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This paper describes a novel, low-cost method for combining time-frequency representations into a more sparse one. To this end, a new local quality measure that is based on an amplitude-weighted version of the so-called Hoyer sparsity is proposed. A detailed evaluation procedure that employs a dataset with nearly perfect f0 annotations of melodic signals and a set of white-noise pulses is adopted for assessing the time-frequency resolution attained. The proposed method is shown to produce state-of-the-art results among the existing combination methods in terms of energy concentration at frequency contours, onsets, and offsets, meeting the most desirable requirements: high time-frequency resolution, low computational cost, and the capability of combining representations with non-linear frequency scale.

JAES Volume 70 Issue 9 pp. 698-707; September 2022
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