An analysis/synthesis tool for transient signals that allows a flexible sines+transients+noise model for audio

We present a flexible analysis/synthesis tool for transient signals that extends current sinusoidal and sines+noise models for audio to sines+transients+noise. The explicit handling of transients provides a more realistic and robust signal model. Because the transient model presented is the frequency domain dual to sinusoidal modeling, it has similar flexibility and allows for a wide range of transformations on the parameterized signal. In addition, due to this duality, a major portion of the transient model is sinusoidal modeling performed in a frequency domain. In order to make the transient and sinusoidal models work more effectively together, we present a formulation of sinusoidal modeling (and therefore transient modeling) in terms of matching pursuits and overlap-add synthesis. This formulation provides a tight coupling between the sines+transients+noise model because it allows a simple heuristic, based on tonality, as to when an audio signal should be modeled as sines and/or transients and/or noise.