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Information-theory-based research method of single-objective Cramer-Rao bound of sensor system

A technology of information theory and sensors, applied in radio wave direction/deviation determination systems, direction finders using radio waves, etc., can solve problems such as cumbersome and complicated calculation processes

Active Publication Date: 2019-02-22
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

The maximum likelihood estimation (Maximum Likelihood Estimator, MLE) algorithm estimates the angle of arrival by searching for the maximum change position of the likelihood function in the observation interval. This is a problem of nonlinear multidimensional optimization, and the calculation process is cumbersome and complicated.

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  • Information-theory-based research method of single-objective Cramer-Rao bound of sensor system
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  • Information-theory-based research method of single-objective Cramer-Rao bound of sensor system

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Embodiment Construction

[0055] Embodiments of the present invention are described in detail below, examples of which are shown in the drawings, wherein the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the figures are exemplary only for explaining the present invention and should not be construed as limiting the present invention.

[0056] Those skilled in the art can understand that, unless otherwise defined, all terms (including technical terms and scientific terms) used herein have the same meaning as commonly understood by those of ordinary skill in the art to which this invention belongs. It should also be understood that terms such as those defined in commonly used dictionaries should be understood to have a meaning consistent with the meaning in the context of the prior art, and will not be interpreted in an idealized or overly formal sense unless defined as here...

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Abstract

The invention, which belongs to the technical field of information transmission and processing, provides an information-theory-based research method of a single-objective Cramer-Rao bound (CRB) of a sensor system. The bound serves as a lower bound of a DOA estimation performance of a spatial signal. On the basis of the Shannon's information theory, a theoretical model of maximum likelihood communication in a complex additive white Gaussian noise (CAWGN) environment is proposed. For the single source estimation, posterior probability density distribution of the to-be-measured angle is derived from a likelihood function and an expression of the Gaussian approximation of the posterior probability distribution under high signal-to-noise ratio (SNR) is obtained, so that the variance is CRB. Thesimulation results show that the CRB derived by the method is an approximate lower bound of the maximum likelihood algorithm (MLE). The correctness of the theoretical analysis is verified by the simulation results. The conclusion made by the method has the important theoretical guiding significance in the DOA estimation based on an MLE algorithm.

Description

technical field [0001] The invention relates to a research method of a sensor system single-objective Cramereau boundary based on information theory, which belongs to the technical field of information transmission and processing. Background technique [0002] The use of sensor arrays to locate far-field sources and estimate parameters of interest has been extensively studied in various fields such as radar, sonar, wireless communications, etc. for decades. In the direction of arrival (Direction of Arrival, DOA) estimation of the spatial signal of the uniform linear array, many algorithms based on the mean square error have been proposed, such as the maximum likelihood (Maximum Likelihood, ML) method and its variant, namely the MODE method, The asymptotically optimal performance is mainly achieved through the multidimensional optimization of the likelihood function. [0003] A class of DOA estimation methods based on the eigendecomposition of the received signal covariance ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S3/16
CPCG01S3/16Y02D30/70
Inventor 闫霄徐大专许生凯
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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