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The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise
Abstract
This paper presents an asymptotic statistical analysis of the null-spectra of two eigen-assisted methods, MUSIC [1] and Minimum-Norm [2], for resolving independent closely spaced plane waves in noise. Particular attention is paid to the average deviation of the null-spectra from zero at the true angles of arrival for the plane waves. These deviations are expressed as functions of signal-to-noise ratios, number of array elements, angular separation of emitters, and the number of snapshots. In the case of MUSIC. an approximate expression is derived for the resolution threshold of two plane waves with equal power in noise. This result is validated by Monte Carlo simulations.
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Research works printed but not linked: 8
- bohme, 1983, On parametric methods for array processing, Proceedings of EUSIPCO-83
- 10.1109/TASSP.1982.1163915 · doi:10.1109/tassp.1982.1163915
- 10.1109/TASSP.1983.1164185 · DOI · Paper page
- brillinger, 1975, Time Series Data Analysis and Theory
- 10.1049/PBEW011E · DOI · Paper page
- wilkinson, 1965, The Algebraic Eigenvalue Problem
- 10.1109/TAES.1983.309427 · DOI · Paper page
- 10.1109/TAP.1986.1143830 · DOI · Paper page
Cited by
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Rao, B. D., & Hari, K. V. S. (1989) · IEEE Transactions on Acoustics, Speech, and Signal Processing · doi:10.1109/29.45540 · Cited by 992
Subspace-based signal analysis using singular value decomposition
Van Der Veen, A.-J., Deprettere, E. F., & Swindlehurst, A. L. (1993) · Proceedings of the IEEE · doi:10.1109/5.237536 · Cited by 348
The eigencanceler: adaptive radar by eigenanalysis methods
Haimovich, A. (1996) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/7.489498 · Cited by 265
Metadata
- Authors
- Kaveh, M., & Barabell, A.
- Venue
- IEEE Transactions on Acoustics, Speech, and Signal Processing
- Published
- 1986-04
- Volume
- 34
- Issue
- 2
- Pages
- 331-341
- ISSN
- 0096-3518 (ISSN-L)
- OpenAlex
- W2139748108
- Cited by
- 563
- References
- 0
- FWCI
- 18.77
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise. https://app.cochat.ai/papers/10.1109/tassp.1986.1164815
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- Kaveh, M., & Barabell, A. (1986). The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise. IEEE Transactions on Acoustics, Speech, and Signal Processing. https://doi.org/10.1109/tassp.1986.1164815
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
