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CRLB for DOA Estimation in Gaussian and Non-Gaussian Mixed Environments

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Abstract

The determination of Cramer-Rao lower bound (CRLB) as an optimality criterion for the problem of Direction-of-arrival (DOA) estimation is a very important issue. Several CRLBs on DOA estimation have been derived for Gaussian noise. However, a practical channel is affected by not only Gaussian background noise but also non-Gaussian noise such as impulsive interference. This paper derives the deterministic CRLB for Gaussian and non-Gaussian mixed environments. Since non-parametric kernel method is used to build the probability density function (PDF) of non-Gaussian noise, the CRLB derived is suitable for various noise distributions with or without symmetric PDF. The relationship between the CRLB for Gaussian noise and the proposed CRLB is also investigated. Theoretical analysis shows that the proposed CRLB provides a unified representation for both the cases of Gaussian and mixed environments. Computer simulations are included to verify the derived CRLB in different noise environments.

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Authors and Affiliations

  1. Department of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Jiyan Huang & Qun Wan

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  1. Jiyan Huang
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  2. Qun Wan
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Correspondence to Jiyan Huang.

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Huang, J., Wan, Q. CRLB for DOA Estimation in Gaussian and Non-Gaussian Mixed Environments. Wireless Pers Commun 68, 1673–1688 (2013). https://doi.org/10.1007/s11277-012-0544-3

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  • DOI: https://doi.org/10.1007/s11277-012-0544-3

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