Long Interpolation of Audio Signals Using Linear Prediction in Sinusoidal Modeling

Within the context of sinusoidal modeling, a new method for the interpolation of sinusoidal components is proposed. It is shown that autoregressive modeling of the amplitude and frequency parameters of these components allows us to interpolate missing audio data realistically, especially in the case of musical modulations such as vibrato or tremolo. The problem of phase discontinuity at the gap boundaries is also addressed. Finally, an original algorithm for the interpolation of a missing region of a whole set of sinusoids is presented. Objective and subjective tests show that the quality is improved significantly compared to common sinusoidal and temporal interpolation techniques of missing audio data.

[1]  Mathieu Lagrange,et al.  Enhanced Partial Tracking Using Linear Prediction , 2003 .

[2]  Werner Oomen,et al.  Parametric Coding for High-Quality Audio , 2002 .

[3]  Thomas F. Quatieri,et al.  Speech analysis/Synthesis based on a sinusoidal representation , 1986, IEEE Trans. Acoust. Speech Signal Process..

[4]  Lippold Haken,et al.  Sinusoidal Modeling and Manipulation Using Lemur , 1996 .

[5]  Mathieu Lagrange,et al.  Using linear prediction to enhance the tracking of partials [musical audio processing] , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  Albert S. Bregman,et al.  The Auditory Scene. (Book Reviews: Auditory Scene Analysis. The Perceptual Organization of Sound.) , 1990 .

[7]  Heiko Purnhagen,et al.  HILN-the MPEG-4 parametric audio coding tools , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

[8]  Xavier Serra,et al.  Musical Sound Modeling with Sinusoids plus Noise , 1997 .

[9]  Julius O. Smith,et al.  PARSHL: An Analysis/Synthesis Program for Non-Harmonic Sounds Based on a Sinusoidal Representation , 1987, ICMC.

[10]  Thomas F. Quatieri,et al.  An approach to co-channel talker interference suppression using a sinusoidal model for speech , 1990, IEEE Trans. Acoust. Speech Signal Process..

[11]  Jyrki Kauppinen,et al.  A Method for Long Extrapolation of Audio Signals , 2001 .

[12]  Raymond N. J. Veldhuis,et al.  Adaptive interpolation of discrete-time signals that can be modeled as autoregressive processes , 1986, IEEE Trans. Acoust. Speech Signal Process..

[13]  J. Makhoul,et al.  Linear prediction: A tutorial review , 1975, Proceedings of the IEEE.

[14]  Robert Strandh,et al.  InSpect and ReSpect: Spectral Modeling, Analysis and Real-time Synthesis Software Tools for Researchers and Composers , 1999, ICMC.