Abstract
In this paper, the information theory method (ITM) is applied to radar detection system in the presence of complex additive white Gaussian noise (CAWGN). We introduce the target existence parameter into the radar detection system, which realize the unification of detection and estimation. We define the detection information in the radar as the mutual information between the received signal and the existence state of the target, and then use the ITM to derive the theoretical expression of target detection information. Meanwhile, we obtain corresponding expressions of the probability of false alarm and detection and get the relationship between the two probabilities approximately. Detection information and the probability of detection probability and false alarm are presented according to Neyman-Pearson (N-P) criterion based on existing methods. The numerical simulation results show that the theoretical detection performance of ITM can be obviously better than that of N-P criterion, which confirms that it is effective to use mutual information as a measure to evaluate the detection performance of the system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Woodward, P.: Theory of radar information. Trans. IRE Prof. Group Inf. Theory 1(1), 108–113 (1953)
Woodward, P.M.: Information theory and the design of radar receivers. Proc. IRE 39(12), 1521–1524 (1951)
Woodward, P.M., Davies, I.L.: Information theory and inverse probability in telecommunication. Proc. IEE Part III Radio Commun. Eng. 99(58) (1952)
Shannon, C.E.: IEEE xplore abstract - a mathematical theory of communication. Bell Syst. Tech. J. (1948)
Bell, M.R.: Information theory and radar waveform design. IEEE Trans. Inf. Theory 39(5), 1578–1597 (1993)
Godrich, H., Haimovich, A.M., Blum, R.S.: Target localization accuracy gain in MIMO radar-based systems. IEEE Trans. Inf. Theory 56(6), 2783–2803 (2010)
Yang, Y., Blum, R.S.: MIMO radar waveform design based on mutual information and minimum mean-square error estimation. IEEE Trans. Aerosp. Electron. Syst. 43(1), 330–343 (2007)
Chen, Y., Xu, D., Luo, H., Xu, S., Chen, Y.: Maximum likelihood distance estimation algorithm for multi-carrier radar system. J. Eng. 2019(21), 7432–7435 (2019)
Xu, D., Yan, X., Xu, S., Luo, H., Liu, J., Zhang, X.: Spatial information theory of sensor array and its application in performance evaluation. IET Commun. 13(15), 2304–2312 (2019)
Shi, C., Xu, D., Zhou, Y., Tu, W.: Range-DOA information and scattering information in phased-array radar. In: 2019 IEEE 5th International Conference on Computer and Communications (ICCC), pp. 747–752 (2019)
McDonough, R.N., Whalen, A.D.: Detection of Signals in Noise, 2nd, vol. 16, no. 8, p. 1. Academic Press (1995)
Rohling, H.: Radar CFAR thresholding in clutter and multiple target situations. IEEE Trans. Aerosp. Electron. Syst. AES-19(4), 608–621 (1983)
Sevgi, L.: Hypothesis testing and decision making: constant-false-alarm-rate detection. IEEE Antennas Propag. Mag. 51(3), 218–224 (2009)
Lin, F., Qiu, R.C., Browning, J.P., Wicks, M.C.: Target detection with function of covariance matrices under clutter environment. In: IET International Conference on Radar Systems (Radar 2012), pp. 1–6 (2012)
Kondo, M.: An evaluation and the optimum threshold for radar return signal applied for a mutual information. In: Record of the IEEE 2000 International Radar Conference [Cat. No. 00CH37037], pp. 226–230 (2000)
Tajer, A., Jajamovich, G.H., Wang, X., Moustakides, G.V.: Finite-sample optimal joint target detection and parameter estimation by MIMO radars. In: 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers (2009)
Moustakides, G.V.: Optimum joint detection and estimation. In: IEEE International Symposium on Information Theory (2011)
Tian, J., Zhang, H., Wu, D., Yuan, D.: QoS-constrained medium access probability optimization in wireless interference-limited networks. IEEE Trans. Commun. 66(3), 1064–1077 (2018)
Qiao, J., Alouini, M.: Secure transmission for intelligent reflecting surface-assisted mmWave and terahertz systems. IEEE Wirel. Commun. Lett., 1 (2020)
Acknowledgement
This work was supported by CEMEE State Key Laboratory fund under Grant 2020Z0207B, National Defense Science and Technology Key Laboratory fund under Grant 6142001190105.
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
Hu, C., Xu, D., Pan, D., Hua, B. (2021). Radar Target Detection Based on Information Theory. In: Guan, M., Na, Z. (eds) Machine Learning and Intelligent Communications. MLICOM 2020. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 342. Springer, Cham. https://doi.org/10.1007/978-3-030-66785-6_35
Download citation
DOI: https://doi.org/10.1007/978-3-030-66785-6_35
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-66784-9
Online ISBN: 978-3-030-66785-6
eBook Packages: Computer ScienceComputer Science (R0)