On the Estimation of Sinusoidal Parameters via Parabolic Interpolation of Scaled Magnitude Spectra
Sinusoids are widely used to represent the oscillatory modes of
music and speech. The estimation of the sinusoidal parameters
directly affects the quality of the representation. A parabolic interpolation of the peaks of the log-magnitude spectrum is commonly
used to get a more accurate estimation of the frequencies and the
amplitudes of the sinusoids at a relatively low computational cost.
Recently, Werner and Germain proposed an improved sinusoidal estimator that performs parabolic interpolation of the peaks
of a power-scaled magnitude spectrum. For each analysis window type and size, a power-scaling factor p is pre-calculated via
a computationally demanding heuristic. Consequently, the powerscaling estimation method is currently constrained to a few tabulated power-scaling factors for pre-selected window sizes, limiting
its practical applications. In this article, we propose a method to
obtain the power-scaling factor p for any window size from the
tabulated values. Additionally, we investigate the impact of zeropadding on the estimation accuracy of the power-scaled sinusoidal
parameter estimator.