Estimating the Frequency of a Periodic Function
研究了在平稳加性噪声下观测周期函数时，如何估计其频率及其他参数，提出了估计方法并建立了渐近性质，还开发了检验未知频率是否为基频谐波的测试，并应用于变星S. Carinae的观测数据。
The problem of estimating the frequency and other parameters of a cyclical oscillation is considered, where the data consists of a periodic function observed subject to stationary additive noise. An estimation procedure is proposed and the asymptotic properties of the estimators established. Tests for unknown frequencies to be harmonics of a fundamental frequency are also developed and their asymptotic properties investigated. The procedures are applied to observations on the variable star S. Carinae.