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INTRODUCTION
In the field of audio signal processing, sinusoidal modeling is a
fundamentally important signal representation. It finds
applications in audio coding, speech enhancement, sound source
separation, and pitch tracking. All these applications benefit
from high quality sinusoidal parameters.
In conventional sinusoidal
modeling [1,2], these parameters are
defined as frequency, amplitude and phase of each frequency
component. Other efforts have focused on non-sinusoidal
parameters such as bandlimited noise [3] or
transients [4].
Efforts have also been made to expand or improve sinusoidal
parameters. Matching-pursuit [5] seeks to identify
exponentially decaying envelopes of quasistationary sinusoids.
Linear frequency chirp rates of frequency components have been
estimated [6], when constant- or
Gaussian-amplitude time envelopes are present. A dynamic vocoder
model [7] has been used to estimate very accurate
sinusoidal trajectories within each frame, but at great
computational expense.
We present a new technique that efficiently and robustly obtains
the linear chirp parameter. The current estimation technique is
robust to phase shift, and to time domain amplitude modulation.
Aaron S. Master
2003-03-31