Cramér-Rao bounds and TX-RX selection in a multistatic radar scenario

Greco, Maria; Stinco, Pietro; Gini, Fulvio; Farina, A.; Rangaswamy, Muralidhar

doi:10.1109/radar.2010.5494404

Cited by 26 publications

(27 citation statements)

References 6 publications

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“…This can be appreciated by realising that the echo arrives at the receiver at the same instant as the direct signal, independent of the target location, and the Doppler shift of a target crossing the bistatic baseline must be zero, because the transmitter-to-target range changes in an equal and opposite way to the target-to-receiver range, independent of the magnitude and direction of the target velocity. In this case, resolution is totally lost and therefore the observation from this transmitter-receiver pair could hardly degrade the resolution of the whole multistatic radar system [Azi07], [Gre10], [Gre11].…”

Section: Optimal Channel Selection In a Multistatic Radar Systemmentioning

confidence: 99%

Waveform Diversity and Design for Interoperating Radar Systems

Greco¹

2013

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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. REPORT DATE (DD-MM-YYYY)15 January 2013 (From -To) REPORT TYPE Final Report DATES COVERED SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)EOARD Unit 4515 BOX 14 APO AE 09421 SPONSOR/MONITOR'S ACRONYM(S)AFRL/AFOSR/IOE (EOARD) SPONSOR/MONITOR'S REPORT NUMBER(S) AFRL-AFOSR-UK-TR-2013-0003 DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution is unlimited. SUPPLEMENTARY NOTESGovernment Purpose Rights -University Di Pisa ABSTRACTFor many years, conventional radars transmitted, received, and processed the same waveform on every pulse or burst within a coherent processing interval (CPI), independently of the environment. Now, modern radar systems have considerable flexibility in their modes of operation, both on receive and transmit. In particular, it is possible to modify the waveform on a pulse to pulse basis, and electronically steered phased arrays can quickly point the radar beam in any feasible direction. In the course of this research project, we introduced the Ambiguity Function, an analytical tool for waveform design and analysis that is useful for examining resolution, sidelobe behavior, and ambiguity in range and Doppler of a given signal waveform. Some techniques to design multiple access frequency hop codes with good auto and cross-ambiguity functions are characterized, focusing on the frequency hop patterns. We have shown that the performance of each channel of the multistatic system heavily depends on the transmitted waveform and on the geometry of the scenario, that is, the position of receivers and transmitters with respect to the position of the target. In particular, both geometry factors and transmitted waveforms play an important role in the shape of the Ambiguity Function and hence in the value of the Cramer-Rao Lower Bound (CRLB). We have calculated the bistatic CRLBs of target range and velocity of each transmit-receive pair as a function of the target kinematic parameters and to provide a local measure of the estimation accuracy of these parameters. Finally, in this work we have analyzed the problem of the optimum sensor selection along the trajectory of a tracked ta...

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Section: Optimal Channel Selection In a Multistatic Radar Systemmentioning

confidence: 99%

Waveform Diversity and Design for Interoperating Radar Systems

Greco¹

2013

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“…By these considerations and using the results showed in [1], [2], the FIM elements of the UMTS signal are given by:…”

Section: Pcl Multistatic Scenariomentioning

confidence: 99%

“…In monostatic configuration, estimation of the timedelay and Doppler shift directly provides information on target range and velocity. This information can be retrieved also in a bistatic radar configuration, even if the relations between measured delay and Doppler frequency and target distance and velocity, respectively, are not linear and depend on the geometry [2]. These relationships are given by:…”

Section: Pcl Multistatic Scenariomentioning

confidence: 99%

“…(5) and (6) we highlight the dependence of the parameters on the time index k. In fact they depend on the bistatic geometry that changes while the target is moving along its trajectory. Using the derivative chain rule [2], it is possible to demonstrate that the FIM of the range and bistatic velocity is given by the equation R k -1 =P k J M P k T where R k is the CRLB matrix of the range and velocity, also referred as the measurements covariance matrix. Matrix P k is defined as:…”

Section: Pcl Multistatic Scenariomentioning

confidence: 99%

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Cramér-Rao bounds and their application to sensor selection

Stinco

Greco

Gini

et al. 2012

2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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This work deals with the analysis of a multisensor radar system in the context of maritime border control scenario. The system is composed by a receiver that exploits the signal emitted by two non co-operative transmitters of opportunity: a UMTS base station and a FM radio station. An algorithm for selecting the transmitter for the tracking of a radar target is proposed. This algorithm can provide a significant aid to harbour protection and can reduce the computational load of surveillance operations.

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“…It is further investigated in [28] that the sensor selection problem is solved by designing a sparse vector for a general non-linear measurement model, which utilizes sparse sensing techniques and leads to possible reductions in communications and processing costs. In [29,30], sensor selection was studied and applied to passive radar systems for the first time, where the optimal transmitter-receiver pair is selected to improve the target tracking performance of the whole system. Stevens et al present a multistatic criteria and a framework for selecting the best available subset of emitters for use in passive multistatic synthetic aperture radar (SAR) imaging [31].…”

Section: Introductionmentioning

confidence: 99%

Transmitter Subset Selection in FM-Based Passive Radar Networks for Joint Target Parameter Estimation

et al. 2016

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Passive radar network systems utilize multiple transmitters of opportunity and multichannel receivers to offer remarkable performance improvement due to the advantage of signal and spatial diversities. The frequency modulation (FM) commercial radio signals have become attractive for passive radar applications owing to their wide-spread availability and the favourable Doppler resolution. In this paper, two transmitter subset selection schemes, balancing the trade-off between target parameter estimation accuracy and infrastructure utilization, are proposed for FM-based passive radar networks. In the first, the subset size of selected transmitters employed in the estimation process is minimized by effectively selecting a subset of transmitters such that the required target parameter estimation mean-square error (MSE) threshold is attained. In the second, an optimal subset of transmitters of a predetermined size κ is selected such that the estimation MSE is minimized. These problems are formulated as a knapsack problem (KP), where the coherent Cramér-Rao lower bound (CRLB) is used as a performance metric. Both transmitter subset selection schemes are tackled with greedy selection algorithms by successively selecting transmitters so as to minimize the performance gap between the CRLB and a predetermined MSE threshold or a predetermined subset size. Numerical simulations demonstrate that the problem of transmitter subset selection is not only a function of the transmitted waveforms but also of the relative geometry between the target and the passive radar network systems, which leads to reductions in both computational load and signal processing costs.

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Cramér-Rao bounds and TX-RX selection in a multistatic radar scenario

Cited by 26 publications

References 6 publications

Waveform Diversity and Design for Interoperating Radar Systems

Waveform Diversity and Design for Interoperating Radar Systems

Cramér-Rao bounds and their application to sensor selection

Transmitter Subset Selection in FM-Based Passive Radar Networks for Joint Target Parameter Estimation

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Cramér-Rao bounds and TX-RX selection in a multistatic radar scenario

Cited by 26 publications

References 6 publications

Waveform Diversity and Design for Interoperating Radar Systems

Waveform Diversity and Design for Interoperating Radar Systems

Cram&#x00E9;r-Rao bounds and their application to sensor selection

Transmitter Subset Selection in FM-Based Passive Radar Networks for Joint Target Parameter Estimation

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Cramér-Rao bounds and their application to sensor selection