Sines+Noise Synthesis

In the late 1980s, Serra and Smith combined sinusoidal modeling with noise modeling to enable more efficient synthesis of the noise-like components of sounds (§10.4.3) [246,249,250]. In this extension, the output of the sinusoidal model is subtracted from the original signal, leaving a residual signal. Assuming that the residual is a random signal, it is modeled as filtered white noise, where the magnitude envelope of its short-time spectrum becomes the filter characteristic through which white noise is passed during resynthesis.

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Multiresolution Sinusoidal Modeling
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Inverse FFT Synthesis