Sinusoidal model based on instantaneous frequency attractors

We propose a sinusoidal synthesis method based on instantaneous frequency (IF) attractors, which correspond to harmonic frequency trajectories. The algorithm is novel in extracting accurate sinusoidal components. Since the continuity of IF attractors is well-defined and simple to detect, the IF attractors can be extracted from audio signals without any explicit constraint or complicated algorithm; therefore, they can be directly applied to sinusoidal synthesis. Accuracy of IF attractor analysis can be further improved by time-warping analysis, which improves resolution for harmonic components whose frequencies that change rapidly. We describe the procedure for sinusoidal synthesis and precise phase estimation along with examples and also evaluate the effect of time-warping on analysis and synthesis of speech.