Simultaneous Frequency Estimation for Three or More Sinusoids Based on Sinusoidal Constraint Differential Equation

Abstract

In this paper, we present a short-time frequency estimation method that can handle multiple sinusoids simultaneously. Frequency estimation is a fundamental problem in audio analysis. For realizing high-temporal resolution, an approach based on a differential equation of a sinusoid, which is referred to as the sinusoidal constraint differential equation (SCDE), has been proposed. The SCDE-based method can efficiently and accurately estimate frequency even from a short-term signal. However, in terms of simultaneous estimation, up to two sinusoids have been considered so far. In this paper, we extend this approach to three or more sinusoids. Our experimental results show that our method outperformed existing methods based on the discrete Fourier transform.