Weighted Estimation of Harmonic Components in a Musical Sound Signal
研究了音乐声音信号中谐波参数估计的统计性质，利用渐近方差表达式计算标准误差并构建置信区间，为声学信号分析提供统计推断工具。
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.