Now showing items 1-4 of 4
On the Contraction Mapping Method for Frequency Detection
The contraction mapping method for frequency estimation in the presence of noise, identifies the cosine of the frequency to be detected as a fixed point of a certain correlation mapping. At its hear, the method provides a ...
Asymptotic Normality of the Contraction Mapping Estimator for Frequency Estimation
This paper investigates the asymptotic distribution of the recently-proposed contraction mapping (CM) method for frequency estimation. Given a finite sample composed of a sinusoidal signal in additive noise, the CM method ...
Estimation of Multiple Sinusoids by Parametric Filtering
The problem of estimating the frequencies of multiple sinusoids from noisy observations is addressed in this paper. A parametric filtering approach, called the PF method, is proposed that leads to a consistent estimator ...
Strong Consistency of the Contraction Mapping Method for Frequency Estimation
Consider the super position of a sinusoid plus noise. By the application of certain parametric filter, the first-order autocorrelation becomes a contraction mapping. The sample estimator of the first-order autocorrelation ...