Piano Fundamental Frequency Estimation Algorithm Based on Weighted Least Square Method

Author

Lixin, Shi ; Junxing, Zhang ; Lingbin, Pang

Author_Institution

Dept. of Electromech. & Inf. Eng., Dalian Nat. Univ., Dalian, China

Volume

2

fYear

2009

fDate

15-17 May 2009

Firstpage

155

Lastpage

158

Abstract

Fundamental frequency estimation(FFE) has been studied for many years, and current techniques are still not accurate and robust. Because of the fundamental frequency losing, the harmonic losing and the inharmonicity of piano sound, these FFE methods are invalid generally. The mean square error of the harmonic frequency based on quadratic interpolation of FFT is discussed, and the influence of other harmonic sidelobe on the harmonic measurement with the different length Hanning, Hamming, Chebyshev and Blackmanharris windows is analyzed. A FFE algorithm using weighted least square method is derived. The simulation experiment shows that the method is feasible, and the relative error is about 10^-5.

Keywords

acoustic signal processing; frequency estimation; least squares approximations; mean square error methods; musical instruments; Blackmanharris window; Chebyshev window; FFT quadratic interpolation; Hamming window; Hanning window; harmonic measurement; mean square error; piano fundamental frequency estimation algorithm; piano sound; weighted least square method; Algorithm design and analysis; Autocorrelation; Equations; Frequency estimation; Frequency measurement; Hidden Markov models; Information technology; Interpolation; Least squares methods; Power harmonic filters; fundamental frequency estimation; harmonic structure; influence of sidelobe; weighted least square method;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Technology and Applications, 2009. IFITA '09. International Forum on

Conference_Location

Chengdu

Print_ISBN

978-0-7695-3600-2

Type

conf

DOI

10.1109/IFITA.2009.402

Filename

5231255