Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays

C. G. Shi, F. Wang, S. Salous, J. J. Zhou
Wiley-Blackwell
Published 2018
Publication Date:
2018-02-02
Publisher:
Wiley-Blackwell
Print ISSN:
0048-6604
Electronic ISSN:
1944-799X
Topics:
Geosciences
Physics
Published by:
_version_ 1836398772834271232
autor C. G. Shi, F. Wang, S. Salous, J. J. Zhou
beschreibung To avoid the disadvantages of the active radar which utilizes its own transmitter to emit electromagnetic radiations, passive radars use the signals readily available in the environment and can provide superior capabilities of stealth target detection, low probability of intercept (LPI), low cost and robustness. This paper investigates the joint target parameter (delay and Doppler) estimation performance for a frequency modulation (FM)-based distributed passive radar network (DPRN) system with antenna arrays. The DPRN system consists of multiple FM-based illuminators of opportunity and multiple radar receivers, which are placed on moving platforms. First, we consider the scenario where the target state parameters are unknown, the maximum likelihood (ML) estimator is developed and the log-likelihood ratio of the received signal for a complex Gaussian extended target is derived. Then, the Cramér-Rao lower bounds (CRLBs) on the Cartesian coordinates of target position and velocity are computed for a DPRN system with M T FM-based transmitters of Q antenna elements and M R multichannel receivers of P antenna elements. Finally, numerical examples demonstrate that grouping the receiving antenna elements into properly sized arrays can reduce estimation errors. It is also shown that the joint CRLB is a function of signal-to-noise ratio (SNR), the number of receiving antenna elements, the properties of the transmitted FM waveform, as well as the relative geometry between the target and the DPRN architecture. The analytically closed-form expressions for CRLB are an important performance metric in that they enable the optimal placement of radar receivers to improve the target parameter estimation performance.
citation_standardnr 6152608
datenlieferant ipn_articles
feed_copyright American Geophysical Union (AGU)
feed_copyright_url http://www.agu.org/
feed_id 7535
feed_publisher Wiley-Blackwell
feed_publisher_url http://www.wiley.com/wiley-blackwell
insertion_date 2018-02-02
journaleissn 1944-799X
journalissn 0048-6604
publikationsjahr_anzeige 2018
publikationsjahr_facette 2018
publikationsjahr_intervall 7984:2015-2019
publikationsjahr_sort 2018
publisher Wiley-Blackwell
quelle Radio Science
relation http://onlinelibrary.wiley.com/resolve/doi?DOI=10.1002%2F2017RS006471
search_space articles
shingle_author_1 C. G. Shi, F. Wang, S. Salous, J. J. Zhou
shingle_author_2 C. G. Shi, F. Wang, S. Salous, J. J. Zhou
shingle_author_3 C. G. Shi, F. Wang, S. Salous, J. J. Zhou
shingle_author_4 C. G. Shi, F. Wang, S. Salous, J. J. Zhou
shingle_catch_all_1 Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
To avoid the disadvantages of the active radar which utilizes its own transmitter to emit electromagnetic radiations, passive radars use the signals readily available in the environment and can provide superior capabilities of stealth target detection, low probability of intercept (LPI), low cost and robustness. This paper investigates the joint target parameter (delay and Doppler) estimation performance for a frequency modulation (FM)-based distributed passive radar network (DPRN) system with antenna arrays. The DPRN system consists of multiple FM-based illuminators of opportunity and multiple radar receivers, which are placed on moving platforms. First, we consider the scenario where the target state parameters are unknown, the maximum likelihood (ML) estimator is developed and the log-likelihood ratio of the received signal for a complex Gaussian extended target is derived. Then, the Cramér-Rao lower bounds (CRLBs) on the Cartesian coordinates of target position and velocity are computed for a DPRN system with M T FM-based transmitters of Q antenna elements and M R multichannel receivers of P antenna elements. Finally, numerical examples demonstrate that grouping the receiving antenna elements into properly sized arrays can reduce estimation errors. It is also shown that the joint CRLB is a function of signal-to-noise ratio (SNR), the number of receiving antenna elements, the properties of the transmitted FM waveform, as well as the relative geometry between the target and the DPRN architecture. The analytically closed-form expressions for CRLB are an important performance metric in that they enable the optimal placement of radar receivers to improve the target parameter estimation performance.
C. G. Shi, F. Wang, S. Salous, J. J. Zhou
Wiley-Blackwell
0048-6604
00486604
1944-799X
1944799X
shingle_catch_all_2 Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
To avoid the disadvantages of the active radar which utilizes its own transmitter to emit electromagnetic radiations, passive radars use the signals readily available in the environment and can provide superior capabilities of stealth target detection, low probability of intercept (LPI), low cost and robustness. This paper investigates the joint target parameter (delay and Doppler) estimation performance for a frequency modulation (FM)-based distributed passive radar network (DPRN) system with antenna arrays. The DPRN system consists of multiple FM-based illuminators of opportunity and multiple radar receivers, which are placed on moving platforms. First, we consider the scenario where the target state parameters are unknown, the maximum likelihood (ML) estimator is developed and the log-likelihood ratio of the received signal for a complex Gaussian extended target is derived. Then, the Cramér-Rao lower bounds (CRLBs) on the Cartesian coordinates of target position and velocity are computed for a DPRN system with M T FM-based transmitters of Q antenna elements and M R multichannel receivers of P antenna elements. Finally, numerical examples demonstrate that grouping the receiving antenna elements into properly sized arrays can reduce estimation errors. It is also shown that the joint CRLB is a function of signal-to-noise ratio (SNR), the number of receiving antenna elements, the properties of the transmitted FM waveform, as well as the relative geometry between the target and the DPRN architecture. The analytically closed-form expressions for CRLB are an important performance metric in that they enable the optimal placement of radar receivers to improve the target parameter estimation performance.
C. G. Shi, F. Wang, S. Salous, J. J. Zhou
Wiley-Blackwell
0048-6604
00486604
1944-799X
1944799X
shingle_catch_all_3 Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
To avoid the disadvantages of the active radar which utilizes its own transmitter to emit electromagnetic radiations, passive radars use the signals readily available in the environment and can provide superior capabilities of stealth target detection, low probability of intercept (LPI), low cost and robustness. This paper investigates the joint target parameter (delay and Doppler) estimation performance for a frequency modulation (FM)-based distributed passive radar network (DPRN) system with antenna arrays. The DPRN system consists of multiple FM-based illuminators of opportunity and multiple radar receivers, which are placed on moving platforms. First, we consider the scenario where the target state parameters are unknown, the maximum likelihood (ML) estimator is developed and the log-likelihood ratio of the received signal for a complex Gaussian extended target is derived. Then, the Cramér-Rao lower bounds (CRLBs) on the Cartesian coordinates of target position and velocity are computed for a DPRN system with M T FM-based transmitters of Q antenna elements and M R multichannel receivers of P antenna elements. Finally, numerical examples demonstrate that grouping the receiving antenna elements into properly sized arrays can reduce estimation errors. It is also shown that the joint CRLB is a function of signal-to-noise ratio (SNR), the number of receiving antenna elements, the properties of the transmitted FM waveform, as well as the relative geometry between the target and the DPRN architecture. The analytically closed-form expressions for CRLB are an important performance metric in that they enable the optimal placement of radar receivers to improve the target parameter estimation performance.
C. G. Shi, F. Wang, S. Salous, J. J. Zhou
Wiley-Blackwell
0048-6604
00486604
1944-799X
1944799X
shingle_catch_all_4 Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
To avoid the disadvantages of the active radar which utilizes its own transmitter to emit electromagnetic radiations, passive radars use the signals readily available in the environment and can provide superior capabilities of stealth target detection, low probability of intercept (LPI), low cost and robustness. This paper investigates the joint target parameter (delay and Doppler) estimation performance for a frequency modulation (FM)-based distributed passive radar network (DPRN) system with antenna arrays. The DPRN system consists of multiple FM-based illuminators of opportunity and multiple radar receivers, which are placed on moving platforms. First, we consider the scenario where the target state parameters are unknown, the maximum likelihood (ML) estimator is developed and the log-likelihood ratio of the received signal for a complex Gaussian extended target is derived. Then, the Cramér-Rao lower bounds (CRLBs) on the Cartesian coordinates of target position and velocity are computed for a DPRN system with M T FM-based transmitters of Q antenna elements and M R multichannel receivers of P antenna elements. Finally, numerical examples demonstrate that grouping the receiving antenna elements into properly sized arrays can reduce estimation errors. It is also shown that the joint CRLB is a function of signal-to-noise ratio (SNR), the number of receiving antenna elements, the properties of the transmitted FM waveform, as well as the relative geometry between the target and the DPRN architecture. The analytically closed-form expressions for CRLB are an important performance metric in that they enable the optimal placement of radar receivers to improve the target parameter estimation performance.
C. G. Shi, F. Wang, S. Salous, J. J. Zhou
Wiley-Blackwell
0048-6604
00486604
1944-799X
1944799X
shingle_title_1 Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
shingle_title_2 Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
shingle_title_3 Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
shingle_title_4 Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
timestamp 2025-06-30T23:32:23.779Z
titel Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
titel_suche Cramér-Rao Lower Bounds for Joint Target Parameter Estimation in FM-Based Distributed Passive Radar Network with Antenna Arrays
topic TE-TZ
U
uid ipn_articles_6152608