Abstract:
In this paper, we present a short-time fundamental frequency estimation method based on a differential equation. Fundamental frequency estimation is a popular problem in ...Show MoreMetadata
Abstract:
In this paper, we present a short-time fundamental frequency estimation method based on a differential equation. Fundamental frequency estimation is a popular problem in audio analysis. Particularly, the estimation from short signals has been desired in various real-time processing. The sinusoidal constraint differential equation (SCDE)-based method for realizing high-temporal resolution has been proposed for the frequency estimation of a single sinusoid or multiple sinusoids. The SCDE-based method can efficiently and accurately estimate frequency even from a short-term signal. In this paper, as its extension towards the fundamental frequency estimation, we introduce the harmonic constraint to the SCDE-based method, and propose the finite-order harmonic constraint differential equation-based method. We first derive a differential equation that any harmonic signals with harmonics up to Nth order satisfy, where the fundamental frequency is included in coefficients. Then, the fundamental frequency is estimated by minimizing an objective function expressed as the short-time integral of the squared error of its differential equation. Our experimental results show that our method outperformed the existing methods for estimation with noisy signals of 5 ms.
Published in: 2023 Asia Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC)
Date of Conference: 31 October 2023 - 03 November 2023
Date Added to IEEE Xplore: 20 November 2023
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