A theory for modeling sound sources as a combination of a source and filter parts is useful in timbre analysis and synthesis. In this model the sound is represented as a sparse sum of sine waves, each of which is characterized by a slowly varying amplitude and frequency. Two methods are considered for deriving the parameters of the model: slow variation (SV) and filter bank (FB). The FB method better follows the global spectral envelope, while the SV method better follows local amplitude–frequency dependencies. Real and synthetic sounds are analyzed in detail.
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