Asymptotic properties of the least squares estimates of 2-\(D\) exponential signals

DOI10.1007/BF01827810zbMath0847.93069MaRDI QIDQ1915483

Debasis Kundu, Amit Mitra

Publication date: 16 July 1996

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

asymptotic normalitystrong consistencyleast squares estimates2-D signals

Mathematics Subject Classification ID

Estimation and detection in stochastic control theory (93E10) Least squares and related methods for stochastic control systems (93E24) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (9)

Noise space decomposition method for two-dimensional sinusoidal model ⋮ ON ASYMPTOTIC PROPERTIES OF A TWO DIMENSIONAL FREQUENCY ESTIMATOR ⋮ An efficient and fast algorithm for estimating the frequencies of 2-D superimposed exponential signals in presence of zero-mean multiplicative and additive noise ⋮ The asymptotic normality for the least squares estimator of parameters in a two dimensional sinusoidal model of observations ⋮ Approximation to the distribution of the least squares estimators in two dimensional cosine models by randomly weighted bootstrap ⋮ Order estimation of 2-dimensional complex superimposed exponential signal model using exponentially embedded family (EEF) rule: large sample consistency properties ⋮ Consistency of the least squares estimators of parameters in the texture surface sinusoidal model ⋮ On discrete-domain multidimensional sinusoidal models ⋮ On the least squares estimator asymptotic normality of the multivariate symmetric textured surface parameters

Cites Work

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• Asymptotic theory of least squares estimator of a particular nonlinear regression model
• Asymptotic theory of nonlinear least squares estimation
• Multidimensional MEM spectral estimation
• A two-dimensional Prony's method for spectral estimation
• Estimating two-dimensional frequencies by matrix enhancement and matrix pencil
• On the estimation of a harmonic component in a time series with stationary independent residuals

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