Joint Entropy Error Bound of Two-Dimensional Direction-of-Arrival Estimation for L-Shaped Array.

Xiaolong Kong, Daxuan Zhao, Nan Wang, Dazhuan Xu

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Article in Sensors (Basel, Switzerland), 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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4 authors.

Xiaolong KongThe Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.

Daxuan ZhaoThe Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.

Nan WangThe Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.

Dazhuan XuThe Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.ORCID 0009-0002-0770-4396

Funding

National Natural Science Foundation of China 62271254

6 · The paper itself

Abstract

Several performance lower bounds have been studied for evaluating the accuracy of direction-of-arrival (DOA) estimation. However, lower bounds for joint estimation have not been fully explored when it comes to DOA estimation. The Cramér-Rao bound (CRB) can guarantee asymptotic tightness in the high-signal-to-noise ratio (SNR) region but cannot provide tight performance bounds for parameter estimators in low- and medium-SNR regions. Consequently, we propose a tight performance bound for the joint estimation of azimuth and elevation DOAs in an L-shaped array. Firstly, the joint conditional probability density function (PDF) is given to establish the mathematical relationship among the receiving signal and the azimuth and elevation DOAs. Then, the joint a posteriori PDF is derived according to the Bayesian theorem. Next, the azimuth and elevation DOA entropy error bound (AEEEB) is derived as a global performance bound using the joint

Indexed as

direction-of-arrival estimationglobal performance boundjoint a posteriori entropyL-shaped line array

Identifiers

PMID40293082

DOI10.3390/s25061929

PMCPMC11946050

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