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The decomposition of sounds into sines, transients, and noise is along-standing research problem in audio processing. The current solutions forthis three-way separation detect either horizontal and vertical structures oranisotropy and orientations in the spectrogram to identify the properties ofeach spectral bin and classify it as sinusoidal, transient, or noise. Thispaper proposes an enhanced three-way decomposition method based on fuzzy logic,enabling soft masking while preserving the perfect reconstruction property. Theproposed method allows each spectral bin to simultaneously belong to twoclasses, sine and noise or transient and noise. Results of a subjectivelistening test against three other techniques are reported, showing that theproposed decomposition yields a better or comparable quality. The mainimprovement appears in transient separation, which enjoys little or no loss ofenergy or leakage from the other components and performs well for test signalspresenting strong transients. The audio quality of the separation is shown todepend on the complexity of the input signal for all tested methods. Theproposed method helps improve the quality of various audio processingapplications. A successful implementation over a state-of-the-art time-scalemodification method is reported as an example.

Enhanced Fuzzy Decomposition of Sound Into Sines, Transients, and Noise