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## EFFECTS OF GEOMETRY CONFIGURATIONS ON AM- BIGUITY PROPERTIES FOR BISTATIC MIMO RADAR (2011)

### Citations

200 |
Probability and Information Theory, with Applications to Radar (New
- Woodward
- 1953
(Show Context)
Citation Context ...s well-known that the classical ambiguity function was introduced by Woodward and is used to characterize the local and global resolution properties of time-delay and Doppler for narrowband waveforms =-=[24]-=-. Other authors have extended Woodward’s ideas to larger classes of waveforms and whole radar systems [25, 26]. Normally, the classical ambiguity function couldn’t illustrate the resolution properties... |

115 |
MIMO radar with widely separated antennas
- Haimovich, Blum, et al.
- 2008
(Show Context)
Citation Context ...hitecture considered in the current literature [6]. One is called statistical MIMO radar with widely separated antennas, which captures the spatial diversity of the target’s radar cross section (RCS) =-=[2, 3]-=-. This spatial diversity gain can improve the target detection and estimation of variations parameters. The other is called coherent MIMO radar with colocated antennas, which can obtain the waveform d... |

94 |
MIMO radar: an idea whose time has come
- Fishler, Haimovich, et al.
- 2004
(Show Context)
Citation Context ...an be drawn for the case of the south of the baseline. Consider the first-order timederivative of the total range. From Fig. 1 it is clear that d dt RT = v cos (φ − β/2) (6) d dt RR = v cos (φ + β/2) =-=(7)-=- is the projection of the target velocity vector onto the transmitter-to-target light of sight (LOS) [30], and similarly, d dtRR is the projection of the target velocity vector onto the receiver-to-ta... |

62 |
Target detection and localization using MIMO radars and sonars
- Bekkerman, Tabrikian
- 2006
(Show Context)
Citation Context ...r conventional bistatic radar expressed as A (RRH , RRa, vH, va| θR, L) ∫ ∞ ∝ ∣ b (t − τa (RRa, θR, L)) b −∞ ∗ (t − τH (RRH , θR, L)) · exp (−j (ωDa (RRa, va, θR, L) −ωDH (RRH , vH, 2 θR, L)) t) dt ∣ =-=(17)-=- where the subscripts a and H are used to denoted the actual and hypothesized value of the parameters associated with the target, respectively, and {·} ∗ denotes the complex conjugate operator. For no... |

55 |
Transmit beam-forming for MIMO radar systems using partial signal correlation
- Fuhrman, Antonio
- 2004
(Show Context)
Citation Context ...ce transmit antenna-target-reference receive antenna channel, i.e., ωkl ≈ ωD(RR, v, θR, L). Then (13) can be rewritten as √ P rkl (t) = ζbk (t − τ (RR, θR, L)) Mt · exp (j (ωc − ωD (RR, v, θR, L)) t) =-=(15)-=- From above equation, we can see that the received signal depend on the geometry configuration of radar system heavily. For conventional bistatic radar, its configuration employs only a single transmi... |

53 |
Multiple-input multiple-output (MIMO) radar and imaging: degrees of freedom and resolution
- Bliss, Forsythe
- 2003
(Show Context)
Citation Context ... θR √ 2 R2 R + L2 + 2RRL sin θR (10) (11) Then the Doppler shift for a given target velocity component along the bisector becomes ωD (RR, v, θR, L) = 2 ωc v cos φ√ c 1 2 + RR + L sin θR √ 2 R2 R + L2 =-=(12)-=- + 2RRL sin θR where ωc is the carrier frequency. It is clearly that (12) reduces to the monostatic case when L = 0. 2.3. Receive Antennas Output of Slowly Fluctuating Point Target Consider a bistatic... |

50 |
Spatial diversity in radars—models and detection performance
- Fishler, Haimovich, et al.
- 2007
(Show Context)
Citation Context ... + cos β cos (β/2) = (9) 2 And from the law of cosines, cos β = R2 T + R2 R − L2 2RT RR Using (1) to express RT in (9), (10) becomes cos (β/2) = √ 1 2 + RR + L sin θR √ 2 R2 R + L2 + 2RRL sin θR (10) =-=(11)-=- Then the Doppler shift for a given target velocity component along the bisector becomes ωD (RR, v, θR, L) = 2 ωc v cos φ√ c 1 2 + RR + L sin θR √ 2 R2 R + L2 (12) + 2RRL sin θR where ωc is the carrie... |

29 |
Performance of MIMO radar systems: Advantages of angular diversity
- Fishler, Haimovich, et al.
(Show Context)
Citation Context ...ar than in the monostatic case, when β = 0, (8) reduces to the monostatic case. The dependence of cos(β/2) on the known parameters is shown in the following. From trigonometry √ 1 + cos β cos (β/2) = =-=(9)-=- 2 And from the law of cosines, cos β = R2 T + R2 R − L2 2RT RR Using (1) to express RT in (9), (10) becomes cos (β/2) = √ 1 2 + RR + L sin θR √ 2 R2 R + L2 + 2RRL sin θR (10) (11) Then the Doppler sh... |

19 |
MIMO Radar Ambiguity Functions
- Antonio, Fuhrmann, et al.
- 2007
(Show Context)
Citation Context ...d a new framework for ambiguity function for a bistatic radar configuration and showed the effects of geometry configurations on the performance of parameter estimation [27]. Recently, Antonio et al. =-=[28]-=- extended the radar ambiguity function to the MIMO radar case. It turns out that the radar waveforms affect not only the range and Doppler resolution butProgress In Electromagnetics Research B, Vol. ... |

15 |
MIMO Radar with Colocated Antennas: Review of Some Recent
- Li, Stoica
- 2007
(Show Context)
Citation Context ...which can obtain the waveform diversity and larger degrees of freedom (DoF) to improve the target parameters estimation, parameter identifiability and much flexibility for transmit beampattern design =-=[1, 4]-=-. Furthermore, based on whether the transmit antennas and the receive antennas are separated or not, the coherent MIMO radar can be distributed into two classes. One is the bistatic MIMO radar [16]; t... |

15 |
Multitarget identification and localization using bistatic MIMO radar systems
- Yan, Li, et al.
(Show Context)
Citation Context ...− ktk) + ∆f (l − k)] t) dt P exp (j2π [fc (tl − tk) + ∆f (ltl − ktk)]) MtTe ∫ Te · 0 exp (j2π∆f (l − k) t) dt (20) = P exp (j2π [fc (tl − tk) + ∆f (ltl − ktk)]) Mt sin π∆f (l − k) Te · π∆f (l − k) Te =-=(21)-=- f 0+(M t -1) .∆ f . f 0 . +2∆ f f f 0 +∆ f f 0 . 1 2 t M 3 Figure 2. Spatial stepped-frequency signal set for MIMO radar.126 Chen et al. It is worth to note that we have a approximate consideration ... |

15 |
Ambiguity function for bistatic radar
- Tsao, Slamani, et al.
- 1997
(Show Context)
Citation Context ...ation. Then Tsao et al. proposed a new framework for ambiguity function for a bistatic radar configuration and showed the effects of geometry configurations on the performance of parameter estimation =-=[27]-=-. Recently, Antonio et al. [28] extended the radar ambiguity function to the MIMO radar case. It turns out that the radar waveforms affect not only the range and Doppler resolution butProgress In Ele... |

14 | Effects of sensor placement on acoustic vector-sensor array performance
- Hawkes, Nehorai
(Show Context)
Citation Context ...ometry information. The methodology presented here can be used to evaluate the capability of transmitted waveform set and the system performance for bistatic MIMO radar. As in array signal processing =-=[31, 32]-=-, the antennas placement strategy for MIMO radar (a multiple antennas frame), which we did not consider here, also plays an important role in the performance of systems. Honestly speaking, we mainly f... |

13 | Effect of mutual coupling on capacity of MIMO wireless channels
- Abouda, Hggman
(Show Context)
Citation Context ... sight (LOS) [30], and similarly, d dtRR is the projection of the target velocity vector onto the receiver-to-target LOS. Then we have where d dt RT (4) d d R = dt dt RT + d dt RR = 2v cos φ cos(β/2) =-=(8)-=-122 Chen et al. From the factor cos(β/2) we can see that the resulting range rate is smaller in the bistatic radar than in the monostatic case, when β = 0, (8) reduces to the monostatic case. The dep... |

13 | On the geometry of isotropic arrays
- Baysal, Moses
- 2003
(Show Context)
Citation Context ...ometry information. The methodology presented here can be used to evaluate the capability of transmitted waveform set and the system performance for bistatic MIMO radar. As in array signal processing =-=[31, 32]-=-, the antennas placement strategy for MIMO radar (a multiple antennas frame), which we did not consider here, also plays an important role in the performance of systems. Honestly speaking, we mainly f... |

11 |
Joint DOD and DOA estimation for bistatic
- Jin, Liao, et al.
- 2009
(Show Context)
Citation Context ...) = (t − tl)dt = ≈ xk (t − tk) x −∞ ∗ l ∫ Te+tr tk P MtTe (exp j2π [fc (tl − tk) +∆f (ltl − ktk) + ∆f (l − k)] t) dt P exp (j2π [fc (tl − tk) + ∆f (ltl − ktk)]) MtTe ∫ Te · 0 exp (j2π∆f (l − k) t) dt =-=(20)-=- = P exp (j2π [fc (tl − tk) + ∆f (ltl − ktk)]) Mt sin π∆f (l − k) Te · π∆f (l − k) Te (21) f 0+(M t -1) .∆ f . f 0 . +2∆ f f f 0 +∆ f f 0 . 1 2 t M 3 Figure 2. Spatial stepped-frequency signal set for... |

10 | Design of an E-shaped MIMO antenna using IWO algorithm for wireless application at 5.8GHz
- Mallahzadeh, Es’haghi, et al.
(Show Context)
Citation Context ... From (2), the total transmission time delay from the reference transmit antenna to the reference receive antenna as a function of RR and θR is given by τ (RR, θR, L) = RR √ + R2 R + L2 + 2RRL sin θR =-=(5)-=- c where c is the wave propagation speed. Clearly, (5) reduces to the monostatic case when L = 0. Next, we consider the relationship between range rate and the known parameters. And for simplicity, we... |

10 | Effect of antenna array geometry and ULA azimuthal orientation on MIMO channel properties in urban city street grid
- Abouda, El-Sallabi, et al.
(Show Context)
Citation Context ...ogonal” condition. The kth transmitProgress In Electromagnetics Research B, Vol. 30, 2011 125 antenna emits the waveform in the form √ P xk (t) = rect (t) exp (j2π (fc + ck∆f) t) , k = 1, . . . , Mt =-=(19)-=- where MtTe rect (t) = { 1, 0 ≤ t ≤ Te 0, otherwise and fc is the base frequency, ck∆f is the increase value of carrier frequency for the kth signal. With loss generality, we assume that ck = k − 1 ho... |

8 |
Performance analysis of beamforming for MIMO radar
- Qu, Liao, et al.
(Show Context)
Citation Context ...which can obtain the waveform diversity and larger degrees of freedom (DoF) to improve the target parameters estimation, parameter identifiability and much flexibility for transmit beampattern design =-=[1, 4]-=-. Furthermore, based on whether the transmit antennas and the receive antennas are separated or not, the coherent MIMO radar can be distributed into two classes. One is the bistatic MIMO radar [16]; t... |

8 |
Generalized Resolution in Radar Systems
- Urkowitz, Hauer, et al.
- 1962
(Show Context)
Citation Context ...the local and global resolution properties of time-delay and Doppler for narrowband waveforms [24]. Other authors have extended Woodward’s ideas to larger classes of waveforms and whole radar systems =-=[25, 26]-=-. Normally, the classical ambiguity function couldn’t illustrate the resolution properties of bistatic radar system appropriately for the effects of varying configuration. Then Tsao et al. proposed a ... |

6 |
Polynomial root finding technique for joint DOA
- Bencheikh, Wang, et al.
(Show Context)
Citation Context ...thogonality of the kth and lth transmitting signals, we have rk,l(t) = 0, ∀k, l = 1, . . . , Mt, and k = l. Then we can get the following results ∆f (l − k) Te ∈ Z, ∀k, l = 1, . . . , Mt, and k = l =-=(22)-=- 4.2. Examples Illustration In the following examples, we focus on the effects on the ambiguity function by the system geometry. RR and v as the independent arguments of ambiguity function are given f... |

6 | A new method for joint DOD - Chen, Gu, et al. |

5 |
Two-probe excited circular ring antenna
- Krairiksh, Keowsawat, et al.
(Show Context)
Citation Context ...hitecture considered in the current literature [6]. One is called statistical MIMO radar with widely separated antennas, which captures the spatial diversity of the target’s radar cross section (RCS) =-=[2, 3]-=-. This spatial diversity gain can improve the target detection and estimation of variations parameters. The other is called coherent MIMO radar with colocated antennas, which can obtain the waveform d... |

5 |
Fmcw based mimo imaging radar for maritime navigation
- Huang, Brennan, et al.
- 2011
(Show Context)
Citation Context ...os(β/2) on the known parameters is shown in the following. From trigonometry √ 1 + cos β cos (β/2) = (9) 2 And from the law of cosines, cos β = R2 T + R2 R − L2 2RT RR Using (1) to express RT in (9), =-=(10)-=- becomes cos (β/2) = √ 1 2 + RR + L sin θR √ 2 R2 R + L2 + 2RRL sin θR (10) (11) Then the Doppler shift for a given target velocity component along the bisector becomes ωD (RR, v, θR, L) = 2 ωc v cos ... |

5 |
Combined esprit-rootmusic for DOA-dod estimation in polarimetric bistatic MIMO radar
- Bencheikh, Wang
(Show Context)
Citation Context ... [1, 4]. Furthermore, based on whether the transmit antennas and the receive antennas are separated or not, the coherent MIMO radar can be distributed into two classes. One is the bistatic MIMO radar =-=[16]-=-; the other is the monostatic MIMO radar [1]. The former is commonly with the quite different transmit antennas’ locations from the receive antennas’. And all the transmit antennas and the receive ant... |

5 | Ambiguity in radar and sonar
- Rendas, Moura
- 1998
(Show Context)
Citation Context ...the local and global resolution properties of time-delay and Doppler for narrowband waveforms [24]. Other authors have extended Woodward’s ideas to larger classes of waveforms and whole radar systems =-=[25, 26]-=-. Normally, the classical ambiguity function couldn’t illustrate the resolution properties of bistatic radar system appropriately for the effects of varying configuration. Then Tsao et al. proposed a ... |

4 |
Investigations of isolation improvement techniques for multiple input multiple output (MIMO) WLAN portable terminal applications
- Chou, Cheng, et al.
(Show Context)
Citation Context ...n Electromagnetics Research B, Vol. 30, 2011 123 waveform transmitted by the kth antenna and received by the lth receive antenna can be written as rkl (t) ∼ √ P = ζbk (t − τkl) · exp (j (ωc − ωkl) t) =-=(13)-=- Mt where ζ is the unknown complex target reflectivity, which is proportional to the RCS of the target. Using (5), τkl can be written as τkl = τ (RR, θR, L) + τk + τl (14) where τk = dtk cos θT c and ... |

3 |
MIMO radar theory and exprimental results
- Robey, Coutts, et al.
(Show Context)
Citation Context ..., i.e., AMIMO (RRH , RRa, vH, va| θR, L) Mr Mt ∑ ∑ ∫ ∞ = rkl (t)|(RRa ∣ i=1 k=1 −∞ ,va,θR,L) r∗ kl (t)| (RR ,vH,θR,L) H dt 2 ∣ Mr Mt ∑ ∑ ∫ ∞ ∝ ∣ bk (t − τa) b ∗ k (t − τH)exp [j (ωDH − ωDa) 2 t] dt ∣ =-=(18)-=- i=1 k=1 −∞ where τ and ω functions include the geometry information, see (5) and (12), respectively. Intuitively speaking, our ambiguity function definition deems that the true target appears at the ... |

3 |
MIMO Radar Ambiguity Properties and Optimization Using Frequency-Hopping Waveforms
- Chun-Yang, Vaidyanathan
- 2008
(Show Context)
Citation Context ...ty function as the expected value of the data loglikelihood function for the received data, which is viewed as a function of the whole radar system, geometry, waveforms, and target characteristic. In =-=[29]-=-, some mathematical properties of the MIMO radar ambiguity function defined as in [28] are derived. And using these properties, a new algorithm for designing the orthogonal frequency-hopping waveforms... |