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## Optimal Antenna Allocation in MIMO Radars with Collocated Antennas

### Citations

7183 | Convex Optimization
- Boyd, Vandenberghe
- 2004
(Show Context)
Citation Context ...ase with a single target in the surveillance region is considered. It is shown that by considering suitable geometric constraints, the antenna allocation problem can be formulated as an SDP procedure =-=[4]-=-. Then, the problem is extended to the case with multiple targets in the same or consecutive resolution cells. It is shown that the derived cost function is non-convex and a sampling-based approach is... |

177 | Posterior Cramér-Rao bounds for discrete-time nonlinear filtering
- Tichavsky, Muravchik, et al.
- 1998
(Show Context)
Citation Context ...n optimal antenna placement algorithm, where an array of closely-spaced antennas received the Time-of-Arrival (TOA) data, was proposed in [3]. It is also shown in [23] that the Posterior CRLB (PCRLB) =-=[24]-=- can be used to find the number and optimal locations of multiple sensors while there is no restriction on the closeness of inter-sensor distances. The CRLB was also employed in [9][13] for antenna pl... |

84 |
Introduction to Radar Systems, 3rd ed
- Skolnik
- 2001
(Show Context)
Citation Context ...ODUCTION Multiple-Input Multiple-Output (MIMO) radars with collocated antennas have been introduced recently in the literature [15][18] as an alternative to the traditional phased-array radar systems =-=[21]-=-. Unlike the conventional phased-array radar systems in which the transmitted signals are fully-coherent, MIMO radars enjoy the orthogonality of transmitted waveforms. The orthogonality of the transmi... |

62 |
Target detection and localization using MIMO radars and sonars
- Bekkerman, Tabrikian
- 2006
(Show Context)
Citation Context ...hogonality of transmitted waveforms. The orthogonality of the transmitted signals provides a number of benefits for the MIMO radars, such as the diversity in the paths [7], virtual aperture extension =-=[2]-=-, beam pattern improvement [2], and higher probability of detection [2], over the phased-array systems. Consequently, this has generated much interest among researchers to analyze different aspects of... |

55 |
Transmit beam-forming for MIMO radar systems using partial signal correlation
- Fuhrman, Antonio
- 2004
(Show Context)
Citation Context ...ity of detection [2], over the phased-array systems. Consequently, this has generated much interest among researchers to analyze different aspects of collocated MIMO radars such as waveform selection =-=[8]-=-[14][17][20], range compression [17] and the applications of collocated MIMO radars in target detection, localization and tracking [11][19][25]. The location CRLB was recently proposed in the literatu... |

49 | Spatial diversity in radars – models and detection performance
- Fishler, Haimovich, et al.
- 2006
(Show Context)
Citation Context ...erent, MIMO radars enjoy the orthogonality of transmitted waveforms. The orthogonality of the transmitted signals provides a number of benefits for the MIMO radars, such as the diversity in the paths =-=[7]-=-, virtual aperture extension [2], beam pattern improvement [2], and higher probability of detection [2], over the phased-array systems. Consequently, this has generated much interest among researchers... |

31 |
On parameter identifiability of MIMO radar
- Li, Stoica, et al.
- 2007
(Show Context)
Citation Context ...for a scenario with more than two targets inside the same resolution cell. It is known that there is a bound on the maximum number of targets that can be uniquely detected in the same resolution cell =-=[16]-=-. Assume different number of targets are placed in the c-th resolution cell with the same SNR being assigned to each target. Also, consider the MIMO structure with M = N = 4 antennas where each antenn... |

29 | Target localization accuracy gain in MIMO radar-based systems
- Godrich, Haimovich, et al.
- 2010
(Show Context)
Citation Context ...rior CRLB (PCRLB) [24] can be used to find the number and optimal locations of multiple sensors while there is no restriction on the closeness of inter-sensor distances. The CRLB was also employed in =-=[9]-=-[13] for antenna placement in widely-separated MIMO radars. It was shown that the trace of the CRLB matrix can be written as a convex function of the location of antennas. Then, convex optimization te... |

24 |
Optimality analysis of sensor-target localization geometries
- Bishop, Fidan, et al.
- 2010
(Show Context)
Citation Context ...enna allocation is a critical concern in MIMO array systems. An optimal antenna placement algorithm, where an array of closely-spaced antennas received the Time-of-Arrival (TOA) data, was proposed in =-=[3]-=-. It is also shown in [23] that the Posterior CRLB (PCRLB) [24] can be used to find the number and optimal locations of multiple sensors while there is no restriction on the closeness of inter-sensor ... |

24 |
Target detection and parameter estimation for MIMO radar systems
- Xu, Li, et al.
(Show Context)
Citation Context ...ects of collocated MIMO radars such as waveform selection [8][14][17][20], range compression [17] and the applications of collocated MIMO radars in target detection, localization and tracking [11][19]=-=[25]-=-. The location CRLB was recently proposed in the literature as a tool to evaluate the localization performance of collocated MIMO radars [2][11][17]. The Direction-of-Arrival (DOA) of the target was d... |

22 |
Range compression and waveform optimization for MIMO radar: A Cramér-Rao bound based study
- Li, Xu, et al.
- 2008
(Show Context)
Citation Context ...detection [2], over the phased-array systems. Consequently, this has generated much interest among researchers to analyze different aspects of collocated MIMO radars such as waveform selection [8][14]=-=[17]-=-[20], range compression [17] and the applications of collocated MIMO radars in target detection, localization and tracking [11][19][25]. The location CRLB was recently proposed in the literature as a ... |

17 | MIMO radar ambiguity properties and optimization using frequency-hopping waveforms
- Chen, Vaidyanathan
- 2008
(Show Context)
Citation Context ...ulated in [8] for beam-pattern synthesis by optimizing the transmitters’ cross-correlation matrix. Although several other efforts have been made on the waveform optimization in collocated MIMO radars =-=[5]-=-[6], the problem of antenna allocation in collocated MIMO radars has not been addressed so far. In [13], an algorithm for antenna selection in collocated MIMO radars was presented. Nevertheless, the p... |

16 | Target Velocity Estimation and Antenna Placement for MIMO Radar With Widely Separated Antennas
- He, Blum, et al.
- 2010
(Show Context)
Citation Context ...r CRLB (PCRLB) [24] can be used to find the number and optimal locations of multiple sensors while there is no restriction on the closeness of inter-sensor distances. The CRLB was also employed in [9]=-=[13]-=- for antenna placement in widely-separated MIMO radars. It was shown that the trace of the CRLB matrix can be written as a convex function of the location of antennas. Then, convex optimization techni... |

16 |
Waveform synthesis for diversity-based transmit beampattern design
- Stoica, Li, et al.
- 2007
(Show Context)
Citation Context ...ction [2], over the phased-array systems. Consequently, this has generated much interest among researchers to analyze different aspects of collocated MIMO radars such as waveform selection [8][14][17]=-=[20]-=-, range compression [17] and the applications of collocated MIMO radars in target detection, localization and tracking [11][19][25]. The location CRLB was recently proposed in the literature as a tool... |

15 |
Estimation, Tracking and Navigation: Theory, Algorithms and Software. New-York
- Li, Bar-Shalom, et al.
- 2001
(Show Context)
Citation Context ...1 (1 − βct2)2 + σ2w)I2MN (14) Σc(c−1) = Kσ 2 α nc∑ t=1 (1− βct )βct I2MN (15) III. CRAMER-RAO LOWER BOUND The CRLB provides the best Minimum Mean Squared Error (MMSE) bound for any unbiased estimator =-=[1]-=-. In this section, the CRLB is derived for a collocated MIMO radar. It is shown that the CRLB is a function of the distances between any two antennas. Also, a scenario is considered with T targets dis... |

15 |
The CVX users’ guide
- Grant, Boyd
- 2013
(Show Context)
Citation Context ...8) with P = pc(pc)′, and as the generalized inequality operator. Proof: See Appendix B. The above optimization problem can be now efficiently solved using standard packages for solving SDP problems =-=[12]-=-. Remark 1: The optimization problem in (57) proves the dependency on the parameters of the target through the matrix P . The following proposition shows how the optimal structure is affected by chang... |

9 |
PCRLB-based multisensor array management for multitarget tracking
- Tharmarasa, Kirubarajan, et al.
- 2007
(Show Context)
Citation Context ...ical concern in MIMO array systems. An optimal antenna placement algorithm, where an array of closely-spaced antennas received the Time-of-Arrival (TOA) data, was proposed in [3]. It is also shown in =-=[23]-=- that the Posterior CRLB (PCRLB) [24] can be used to find the number and optimal locations of multiple sensors while there is no restriction on the closeness of inter-sensor distances. The CRLB was al... |

8 |
MIMO radar with collocated antennas
- Li, Stoica
- 2007
(Show Context)
Citation Context ...words: Collocated MIMO radars, location CRLB, antenna allocation. I. INTRODUCTION Multiple-Input Multiple-Output (MIMO) radars with collocated antennas have been introduced recently in the literature =-=[15]-=-[18] as an alternative to the traditional phased-array radar systems [21]. Unlike the conventional phased-array radar systems in which the transmitted signals are fully-coherent, MIMO radars enjoy the... |

8 |
probability of detection for some additional fluctuation target cases
- Swerling, “Radar
- 1997
(Show Context)
Citation Context ...by a complex random variable αt = ξt + jζt with ξ and ζ being the real and imaginary parts of α, respectively. Assumption 2: It is assumed that the target’s reflection follows a Swerling type I model =-=[22]-=- where {ξt ∼ N (ξ̄t, σ2α)} and {ζt ∼ N (ζ̄t, σ2α)}. Other models can be handled accordingly. Assumption 3: It is assumed that the distance between any two antennas is much smaller than the distance of... |

6 | MIMO radar waveform optimization with prior information of the extended target and clutter
- Chen, Vaidyanathan
- 2009
(Show Context)
Citation Context ...ted in [8] for beam-pattern synthesis by optimizing the transmitters’ cross-correlation matrix. Although several other efforts have been made on the waveform optimization in collocated MIMO radars [5]=-=[6]-=-, the problem of antenna allocation in collocated MIMO radars has not been addressed so far. In [13], an algorithm for antenna selection in collocated MIMO radars was presented. Nevertheless, the prop... |

4 |
Sensor selection in distributed multiple-radar architectures for localization: A knapsack problem formulation
- Godrich, Petropulu, et al.
- 2012
(Show Context)
Citation Context ... a convex function of the location of antennas. Then, convex optimization techniques were applied in order to find the optimal placement of antennas. The CRLB was also used as a performance metric in =-=[10]-=- for the antenna selection in widely-separated MIMO radars where a subset of antennas has to be chosen out of a large number of antennas that are widely-separated in the surveillance region. Recently,... |

4 |
Wideband MIMO systems: Signal design for transmit beampattern synthesis
- He, Stoica, et al.
(Show Context)
Citation Context ... of detection [2], over the phased-array systems. Consequently, this has generated much interest among researchers to analyze different aspects of collocated MIMO radars such as waveform selection [8]=-=[14]-=-[17][20], range compression [17] and the applications of collocated MIMO radars in target detection, localization and tracking [11][19][25]. The location CRLB was recently proposed in the literature a... |

3 |
Multiple unresolved target localization and tracking using collocated MIMO radars
- Gorji, Tharmarasa, et al.
- 2012
(Show Context)
Citation Context ...rent aspects of collocated MIMO radars such as waveform selection [8][14][17][20], range compression [17] and the applications of collocated MIMO radars in target detection, localization and tracking =-=[11]-=-[19][25]. The location CRLB was recently proposed in the literature as a tool to evaluate the localization performance of collocated MIMO radars [2][11][17]. The Direction-of-Arrival (DOA) of the targ... |

2 | Antenna selection for MIMO systems with closely spaced antennas - Yang, Blum, et al. - 2009 |

1 |
Iterative adavptive approaches to MIMO radar imaging
- Roberts, Stoica, et al.
- 2010
(Show Context)
Citation Context ... aspects of collocated MIMO radars such as waveform selection [8][14][17][20], range compression [17] and the applications of collocated MIMO radars in target detection, localization and tracking [11]=-=[19]-=-[25]. The location CRLB was recently proposed in the literature as a tool to evaluate the localization performance of collocated MIMO radars [2][11][17]. The Direction-of-Arrival (DOA) of the target w... |