Weighted estimation of harmonic components in a musical sound signal

Rafael A. Irizarry

Research output: Contribution to journalArticle

Abstract

The study of musical sound has become a popular research field. Harmonic regression signal plus noise statistical models have been used to analyze sound signals. However, it is common to give estimates of harmonic parameters without indications of their uncertainties. Least squares estimates for harmonic models have been studied and asymptotic variance expression have been developed. In practice, window-based estimates are used. This paper studies the statistical properties of such estimates; in particular, we use asymptotic variance expressions to develop standard errors and construct confidence intervals. We present applications and examples of the statistical techniques to musical sound signal analysis.

Original languageEnglish (US)
Pages (from-to)29-48
Number of pages20
JournalJournal of Time Series Analysis
Volume23
Issue number1
DOIs
StatePublished - Jan 2002
Externally publishedYes

Fingerprint

Harmonic
Asymptotic Variance
Acoustic waves
Estimate
Least Squares Estimate
Signal Analysis
Signal analysis
Standard error
Acoustic noise
Statistical property
Statistical Model
Confidence interval
Regression
Uncertainty
Sound
Model
Asymptotic variance
Statistical Models

Keywords

  • Asymptotic variance
  • Harmonic regression
  • Musical sound signals
  • Weighted least squares estimates

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability

Cite this

Weighted estimation of harmonic components in a musical sound signal. / Irizarry, Rafael A.

In: Journal of Time Series Analysis, Vol. 23, No. 1, 01.2002, p. 29-48.

Research output: Contribution to journalArticle

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