Time-variant harmonic and transient signal modeling by joint polynomial and piecewise linear approximation

We present a compact approach to simultaneous modeling of non-stochastic time-variant components in audio signals. We show that the harmonic energy can be properly described by a single polynomial, while short events are well captured by a continuous piecewise linear function. The proposed method is robust to fundamental frequency estimation errors and inharmonicities in the audio signal. The comparative results suggest that our method achieves the performance of the state-of-the-art by using much less parameters and thus yielding higher computational efficiency.