MUSIC, maximum likelihood, and Cramer-Rao bound

1989/05/01 by P. Stoica, Petre Stoica, Arye Nehorai · 25 citations
Computer Science · Earth and Planetary Sciences · Engineering · #Direction-of-Arrival Estimation Techniques #Indoor and Outdoor Localization Technologies #Underwater Acoustics Research

paper · doi:10.1109/29.17564

openalex publication_date 1989/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The performance of the MUSIC and ML methods is studied, and their statistical efficiency is analyzed. The Cramer-Rao bound (CRB) for the estimation problems is derived, and some useful properties of the CRB covariance matrix are established. The relationship between the MUSIC and ML estimators is investigated as well. A numerical study is reported of the statistical efficiency of the MUSIC estimator for the problem of finding the directions of two plane waves using a uniform linear array. An exact description of the results is included.>

Citations

• Detection of signals by information theoretic criteria
• Multiple emitter location and signal parameter estimation
• On spatial smoothing for direction-of-arrival estimation of coherent signals
• The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise

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