On the stability of some high-resolution beamforming methods
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Summary
Borders for the deviation of the peak estimates which only use weak knowledge about the matrix are developed and it is found that the projection estimator behaves stably and there are tight bounds if the eigenvalues of interest are sufficiently separated from the rest.
- Type
- article
- Published
- 1983-02-01
- Cited by
- 4
- References
- 13
- OpenAlex
- https://openalex.org/W2074321868
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:45424212
Keywords
Estimator, Mathematics, Eigenvalues and eigenvectors, Random matrix, Applied mathematics
References
- Spectral analysis using the Karhunen-Loeve transform
- Passive Sonar Processing for Noise with Unknown Covariance Structure
- Probability distributions for estimators of the frequency-wavenumber spectrum
- The Retrieval of Harmonics from a Covariance Function
- Spatial localization — Spectral matrix bias and variance — Effects on the source subspace
- Some new bounds on perturbation of subspaces
- On the Estimation of Spectra by Means of Non-linear Functions of the Covariance Matrix
- High-resolution frequency-wavenumber spectrum analysis
- On the sensitivity of orthogonal beamforming
- Multiple Source Location-A Digital Approach
- ASYMPTOTIC THEORY FOR PRINCIPAL COMPONENT ANALYSIS
- Multivariate Analysis–III
- Time Series Data Analysis and Theory
- Identification of the Structure of Multivariable Stochastic Systems
- Spectral Signal Set Extraction
Cited by
- Progress In Eigenvector Beamforming
- Source-parameter estimation by approximate maximum likelihood and nonlinear regression
- Estimation of Source Parameters by Approximate Maximum Likelihood
- 6G optical-RF wireless integration: a review on heterogeneous cellular network channel modeling, measurements, and challenges
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