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Open AccessArticle

Performance Bound for Joint Multiple Parameter Target Estimation in Sparse Stepped-Frequency Radar: A Comparison Analysis

1
Department of Electronic and Information Engineering, Harbin Institute of Technology, Harbin 150001, China
2
Key Laboratory of Marine Environmental Monitoring and Information Processing, Ministry of Industry and Information Technology, Harbin 150001, China
*
Author to whom correspondence should be addressed.
Sensors 2019, 19(9), 2002; https://doi.org/10.3390/s19092002
Received: 20 March 2019 / Revised: 15 April 2019 / Accepted: 23 April 2019 / Published: 29 April 2019
(This article belongs to the Special Issue Sensors In Target Detection)
A performance bound—Cramér-Rao lower bound (CRLB) for target estimation and detection in sparse stepped frequency radars is presented. The vector formulation of this CRLB is used to obtain a lower bound on the estimation error. The estimation performance can be transformed into different types of CRLB structures. Therefore, the expressions of bounds under three equivalent models are derived separately: time delay and Doppler stretch estimator, joint multiple parameter estimator, and sparse-based estimator. The variables to be estimated include the variances of unknown noise, range, velocity, and the real and imaginary parts of the amplitude. A general performance expression is proposed by considering the echo of the target in the line-of-sight. When the relationship between CRLB and various parameters are discussed in detail, the specific effect of waveform parameters on a single CRLB is compared and analyzed. Numerical simulations demonstrated that the resulting CRLB exhibits considerable theoretical and practical significance for the selection of optimal waveform parameters. View Full-Text
Keywords: targets estimation and detection; performance analysis; sparse stepped frequency; Cramér-Rao lower bound targets estimation and detection; performance analysis; sparse stepped frequency; Cramér-Rao lower bound
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MDPI and ACS Style

Chen, Q.; Zhang, X.; Yang, Q.; Ye, L.; Zhao, M. Performance Bound for Joint Multiple Parameter Target Estimation in Sparse Stepped-Frequency Radar: A Comparison Analysis. Sensors 2019, 19, 2002.

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