Antenna Array and Waveform Design for 4-D-Imaging mmWave MIMO Radar Sensors

4-D-imaging; automotive radar; code-division multiplexing (CDM)-multiple-input multiple-output (MIMO); phase-modulated continuous wave (PMCW); spectrum shaping; waveform design; weighted integrated sidelobe level (WISL); 4D imaging; Automotive radar; CDMMIMO; PMCW; Radars antennas; Sensors array; Spectrum shaping; Virtual array; Waveform designs; WISL; Aerospace Engineering; Electrical and Electronic Engineering; Radar antennas; Radar; Antenna arrays; Sensor arrays; Sensors; MIMO radar; Receiving antennas; code-division multiplexing (CDM)-multiple-input-multiple-output (MIMO)

Abstract :

[en] 4D-Imaging mmWave multiple-input-multiple-output (MIMO) radars have significant advantages over conventional radar sensors. However, the physical placement of transmit and receive antennas to achieve the desired virtual array, while considering cost and efficiency is not intuitive. Furthermore, due to the large number of transmit elements in such systems, they necessitate an appropriate strategy for transmit waveforms design. These waveforms should be separable on the receive side while also having low auto-correlation sidelobes. In this paper, we propose a general optimization framework based on Coordinate Descent (CD), to solve the problems of antenna array and waveform design for 4D-imaging radars. First, we propose the CD approach for an optimal array configuration design to obtain a sequence of optimal antenna placements. The objective function converges to a solution that guarantees the desired number of transmit and receive antennas, while the obtained virtual array is as close to the desired one as possible. We, then, propose an entry-based optimization framework based on CD, to jointly design a phase-modulated waveform set optimized based on weighted integrated sidelobe level and spectrum shaping, considering the radar operates adjacent to communication systems. Finally, the simulation results are provided to assess the validity of our proposed methods for both array and waveform design. The former is validated by simulating the virtual array of several commercially available 4D-Imaging radar products. The latter demonstrates that our proposed waveform design can outperform conventional MIMOFMCW approaches, by performing comparative simulations. Finally we show that it can also provide compatibility with other communication systems.

Disciplines :

Computer science

Author, co-author :

Karimian-Sichani, Nazila ; Shahid Beheshti University, Department of Telecommunications, Faculty of Electrical Engineering, Tehran, Iran

ALAEE, Mohammad ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SPARC

MYSORE RAMA RAO, Bhavani Shankar ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SPARC

Mehrshahi, Esfandiar ; Shahid Beheshti University, Department of Telecommunications, Faculty of Electrical Engineering, Tehran, Iran

Ghorashi, Seyed Ali ; University of East London, Department of Computer Science, Digital Technologies, School of Architecture, Computing, Engineering, London, United Kingdom

External co-authors :

yes

Language :

English

Title :

Antenna Array and Waveform Design for 4-D-Imaging mmWave MIMO Radar Sensors

Publication date :

April 2024

Journal title :

IEEE Transactions on Aerospace and Electronic Systems

ISSN :

0018-9251

eISSN :

1557-9603

Publisher :

Institute of Electrical and Electronics Engineers Inc.

Volume :

Issue :

Pages :

1848 - 1864

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://xplorestaging.ieee.org/ielx7/7/10496926/10363411.pdf?arnumber=10363411

Funders :

FNR CORE INTER
FNR CORE R4DAR

Funding text :

This work was supported in part by FNR CORE INTER project SENCOM: C20/IS/14799710/SENCOM and in part by FNR CORE R4DAR project: C23/IS/18049793/R4DAR

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Bibliography

J. Wenger, "Automotive mm-Wave radar: Status and trends in system design and technology," in Proc. IEE Colloq. Automot. Radar Navigation Techn., 1998, pp. 1/1-1/7.
I. Bilik, O. Longman, S. Villeval, and J. Tabrikian, "The rise of radar for autonomous vehicles: Signal processing solutions and future research directions," IEEE Signal Process. Mag., vol. 36, no. 5, pp. 20-31, Sep. 2019.
M. Stolz, M. Wolf, F. Meinl, M. Kunert, and W. Menzel, "A new antenna array and signal processing concept for an automotive 4D radar," in Proc. 15th Eur. Radar Conf., 2018, pp. 63-66.
F. Roos, J. Bechter, C. Knill, B. Schweizer, and C. Waldschmidt, "Radar sensors for autonomous driving: Modulation schemes and interferencemitigation," IEEE Microw.Mag., vol. 20, no. 9, pp. 58-72, Sep. 2019.
D. Schwarz, C. Meyer, A. Dürr, A. Mushtaq, W. Winkler, and C. Waldschmidt, "System performance of a scalable 79 GHz imaging MIMOradar with injection-locked lo feedthrough," IEEE J. Microw., vol. 1, no. 4, pp. 941-949, Oct. 2021.
I. Bekkerman and J. Tabrikian, "Target detection and localization usingMIMO radars and sonars," IEEE Trans. Signal Process., vol. 54, no. 10, pp. 3873-3883, Oct. 2006.
D. Schwarz, N. Riese, I. Dorsch, and C.Waldschmidt, "System performance of a 79 GHz high-resolution 4Dimaging MIMO radarwith 1728 virtual channels," IEEE J. Microw., vol. 2, no. 4, pp. 637-647, Oct. 2022.
J. Bergin and J. R. Guerci, MIMO Radar: Theory and Application, Norwood, MA, USA: Artech House, 2018.
Z. Peng and C. Li, "A portable k-band 3-D MIMO radar with nonuniformly spaced array for short-range localization," IEEE Trans. Microw. Theory Techn., vol. 66, no. 11, pp. 5075-5086, Nov. 2018.
M. Deng, Z. Cheng, and Z. He, "Co-design of waveform correlation matrix and antenna positions for MIMO radar transmit beampattern formation," IEEE Sensors J., vol. 20, no. 13, pp. 7326-7336, Jul. 2020.
R.Z. Syeda,T.G. Savelyev,M. C. vanBeurden, and A. B. Smolders, "SparseMIMO array for improved 3D mm-Wave imaging radar," in Proc. 17th Eur. Radar Conf., 2021, pp. 342-345.
M. Alaee-Kerahrood, P. Babu, and M. Soltanalian, Signal Design for Modern Radar Systems, Norwood, MA, USA: Artech House, 2022.
E. Raei, M. Alaee-Kerahroodi, P. Babu, and M. R. B. Shankar, "Design of MIMO radar waveforms based on lp-Norm criteria," 2021, arXiv:2104.03303.
C. Vasanelli, R. Batra, A. D. Serio, F. Boegelsack, and C. Waldschmidt, "Assessment of a millimeter-wave antenna system for MIMO radar applications," IEEE Antennas Wireless Propag. Lett., vol. 16, pp. 1261-1264, 2017.
P. M. McCormick, S. D. Blunt, and J. G. Metcalf, "Wideband MIMO frequency-modulated emission design with space-frequency nulling," IEEE J. Sel. Topics Signal Process., vol. 11, no. 2, pp. 363-378, Mar. 2017.
R. Amar, M. Alaee-Kerahroodi, and M. R. Bhavani Shankar, "FMCW-FMCWinterference analysis inmm-Wave radars; an indoor case study and validation by measurements," in Proc. 21st Int. Radar Symp., 2021, pp. 1-11.
H. Sun, F. Brigui, and M. Lesturgie, "Analysis and comparison of MIMO radar waveforms," in Proc. Int. Radar Conf., 2014, pp. 1-6.
Y. Sun, M. Bauduin, and A. Bourdoux, "Enhancing unambiguous velocity in Doppler-division multiplexing MIMO radar," in Proc. 18th Eur. Radar Conf., 2022, pp. 493-496.
A. Zwanetski and H. Rohling, "Continuous wave MIMO radar based on time division multiplexing," in Proc. 13th Int. Radar Symp., 2012, pp. 119-121.
J. Jung, S. Lim, S.-C. Kim, and S. Lee, "Solving Doppler-angle ambiguity of BPSK-MIMO FMCW radar system," IEEE Access, vol. 9, pp. 120347-120357, 2021.
A. B. Baral and M. Torlak, "Joint Doppler frequency and direction of arrival estimation for TDM MIMO automotive radars," IEEE J. Sel. Topics Signal Process., vol. 15, no. 4, pp. 980-995, Jun. 2021.
F. Xu, S. A. Vorobyov, and F. Yang, "Transmit beamspace DDMA based automotive MIMO radar," IEEE Trans. Veh. Technol., vol. 71, no. 2, pp. 1669-1684, Feb. 2022.
R. Feger, C. Pfeffer, and A. Stelzer, "A frequency-division MIMO FMCW radar system based on delta-sigma modulated transmitters," IEEE Trans. Microw. Theory Techn., vol. 62, no. 12, pp. 3572-3581, Dec. 2014.
F. Yang, F. Xu, X. Yang, and Q. Liu, "DDMA MIMO radar system for low, slow, and small target detection," J. Eng., vol. 2019, no. 19, pp. 5932-5935, 2019.
F. Jansen, "Automotive radar Doppler division MIMO with velocity ambiguity resolving capabilities," in Proc. 16th Eur. Radar Conf., 2019, pp. 245-248.
M. Q. Nguyen, R. Feger, J. Bechter, M. Pichler-Scheder, M. H. Hahn, and A. Stelzer, "Fast-chirp FDMA MIMO radar system using range-division multiple-access and Doppler-division multipleaccess," IEEE Trans. Microw. Theory Techn., vol. 69, no. 1, pp. 1136-1148, Jan. 2021.
O. Bialer, A. Jonas, and T. Tirer, "Code optimization for fast chirp FMCW automotive MIMO radar," IEEE Trans. Veh. Technol., vol. 70, no. 8, pp. 7582-7593, Aug. 2021.
W. van Rossum and L. Anitori, "Doppler ambiguity resolution using random slow-time code division multiple access MIMO radar with sparse signal processing," in Proc. IEEE Radar Conf., 2018, pp. 0441-0446.
M. Alaee-Kerahroodi, A.Aubry, A. De Maio,M.M.Naghsh, and M. Modarres-Hashemi, "A coordinate-descent framework to design low PSL/ISL sequences," IEEE Trans. Signal Process., vol. 65, no. 22, pp. 5942-5956, Nov. 2017.
M. Alaee-Kerahroodi, M. Modarres-Hashemi, and M. M. Naghsh, "Designing sets of binary sequences forMIMO radar systems," IEEE Trans. Signal Process., vol. 67, no. 13, pp. 3347-3360, Jul. 2019.
L. Wu, M. Alaee-Kerahroodi, and B. M. R. Shankar, "Improving pulse-compression weather radar via the joint design of subpulses and extended mismatch filter," in Proc. IEEE Int. Geosci. Remote Sens. Symp., 2022, pp. 469-472.
R. Amar, M. Alaee-Kerahroodi, P. Babu, and B. S. M. R., "Designing interference-immune Doppler-tolerant waveforms for radar systems," IEEE Trans. Aerosp. Electron. Syst., vol. 59, no. 3, pp. 2402-2421, Jun. 2023.
E. Raei, M. Alaee-Kerahroodi, and M. B. Shankar, "Spatial-and range-ISLR trade-off in MIMO radar via waveform correlation optimization," IEEE Trans. Signal Process., vol. 69, pp. 3283-3298, 2021.
E. Raei, S. Sedighi, M. Alaee-Kerahroodi, and M. B. Shankar, "MIMO radar transmit beampattern shaping for spectrally dense environments," IEEE Trans. Aerosp. Electron. Syst., vol. 59, no. 2, pp. 1007-1020, Apr. 2023.
A. E. Ertan, K. Anderson, and M. Ali, "Cognitive radar approaches to address interference mitigation in mobility applications," in Proc. IEEE Radar Conf., 2022, pp. 1-6.
J. Overdevest, F. Jansen, F. Uysal, and A. Yarovoy, "Doppler influence on waveform orthogonality in 79 GHz MIMO phase-coded automotive radar," IEEE Trans. Veh. Technol., vol. 69, no. 1, pp. 16-25, Jan. 2020.
W. Rowe, P. Stoica, and J. Li, "Spectrally constrained waveform design [SP tips tricks]," IEEE Signal Process. Mag., vol. 31, no. 3, pp. 157-162, May 2014.
P. Stinco, M. Greco, F. Gini, and B. Himed, "Cognitive radars in spectrally dense environments," IEEE Aerosp. Electron. Syst. Mag., vol. 31, no. 10, pp. 20-27, Oct. 2016.
M. Labib, V. Marojevic, A. F. Martone, J. H. Reed, and A. I. Zaghloui, "Coexistence between communications and radar systems: Asurvey,"URSI Radio Sci.Bull., vol. 2017, no. 362, pp. 74-82, 2017.
M. Alaee-Kerahroodi, K. V. Mishra, M. R. Bhavani Shankar, and B. Ottersten, "Discrete-phase sequence design for coexistence of MIMO radar and MIMO communications," in Proc. IEEE 20th Int. Workshop Signal Process. Adv. Wireless Commun., 2019, pp. 1-5.
L. Zheng, M. Lops, Y. C. Eldar, and X.Wang, "Radar and communication coexistence: An overview:Areviewof recent methods," IEEE Signal Process. Mag., vol. 36, no. 5, pp. 85-99, Sep. 2019.
B. Tang and J. Li, "Spectrally constrained MIMO radar waveform design based on mutual information," IEEE Trans. Signal Process., vol. 67, no. 3, pp. 821-834, Feb. 2019.
C. Vasanelli, R. Batra, and C. Waldschmidt, "Optimization of a MIMO radar antenna system for automotive applications," in Proc. 11th Eur. Conf. Antennas Propag., 2017, pp. 1113-1117.
D. W. Bliss, K. W. Forsythe, and C. D. Richmond, "MIMO radar: Joint array and waveform optimization," in Proc. Conf. Rec. 41st Asilomar Conf. Signals Syst. Comput., 2007, pp. 207-211.
Z. Cheng,Y. Lu,Z.He, J.YufengliLi, and X.Luo, "Joint optimization of covariance matrix and antenna position for MIMO radar transmit beampattern matching design," in Proc. IEEE Radar Conf., 2018, pp. 1073-1077.
M. Soltanalian, B. Tang, J. Li, and P. Stoica, "Joint design of the receive filter and transmit sequence for active sensing," in IEEE Signal Process. Lett., vol. 20, no. 5, pp. 423-426, May 2013.
E. K. Ghafi, S. A. Ghorashi, and E. Mehrshahi, "Reconfigurable linear antenna arrays for beam-pattern matching in collocated MIMO radars," IEEE Trans. Aerosp. Electron. Syst., vol. 57, no. 5, pp. 2715-2724, Oct. 2021.
H. He, J. Li, and P. Stoica, Waveform Design for Active Sensing Systems: A Computational Approach, Cambridge, U.K.: Cambridge Univ. Press, 2012.
H. He, P. Stoica, and J. Li, "Designing unimodular sequence sets with good correlations; including an application to MIMO radar," IEEE Trans. Signal Process., vol. 57, no. 11, pp. 4391-4405, 4 Nov. 2009.
G. Cui, X. Yu, M. Piezzo, and L. Kong, "Constant modulus sequence set design with good correlation properties," Signal Process., vol. 139, pp. 75-85, 2017.
Y. Li and S. A. Vorobyov, "Fast algorithms for designing unimodular waveform(s) with good correlation properties," IEEE Trans. Signal Process., vol. 66, no. 5, pp. 1197-1212, Mar. 2018.
J. Song, P. Babu, and D. P. Palomar, "Sequence set design with good correlation properties via majorization-minimization," IEEE Trans. Signal Process., vol. 64, no. 11, pp. 2866-2879, Jun. 2016.
M. Alaee-Kerahroodi, M. R. Bhavani Shankar, K. V. Mishra, and B. Ottersten, "Meeting the lower bound on designing set of unimodular sequences with small aperiodic/periodic ISL," in Proc. 20th Int. Radar Symp., 2019, pp. 1-13.
E. Raei,M. Alaee-Kerahroodi, and M. Bhavani Shankar, "Waveform design for Range-ISL minimization with spectral compatibility in MIMO radars," in Proc. 19th Eur. Radar Conf., 2022, pp. 101-104.
S. Shi, Z. Wang, Z. He, and Z. Cheng, "Spectrally compatible waveform design for MIMO radar with ISL and PAPR constraints," IEEE Sensors J., vol. 20, no. 5, pp. 2368-2377, Mar. 2020.
Z. Cheng, Z. He, M. Fang, J. Li, and J. Xie, "Spectrally compatible waveform design for MIMO radar transmit beampattern with PAR and similarity constraints," in Proc. IEEE Int. Conf. Acoust. Speech Signal Process., 2018, pp. 3286-3290.
M. Alaee-Kerahroodi, E. Raei, S. Kumar, and M. Bhavani Shankar, "Cognitive radar waveform design and prototype for coexistence with communications," IEEE Sensors J., vol. 22, no. 10, pp. 9787-9802, May 2022.
M. Deng, Z. Cheng, and Z. He, "Spectrally compatible waveform design for large-scale MIMO radar beampattern synthesis with one-bit DACs," IEEE Trans. Aerosp. Electron. Syst., vol. 58, no. 5, pp. 4729-4744, Oct. 2022.
M. Alaee-Kerahroodi, L. Wu, E. Raei, and M. R. B. Shankar, "Joint waveform and receive filter design for pulse compression in weather radar systems," IEEE Trans. Radar Syst., vol. 1, pp. 212-229, 2023.
X. Yu, H. Qiu, J. Yang, W. Wei, G. Cui, and L. Kong, "Multispectrally constrained MIMO radar beampattern design via sequential convex approximation," IEEE Trans. Aerosp. Electron. Syst., vol. 58, no. 4, pp. 2935-2949, Aug. 2022.
N. K. Sichani, M. Alaee-Kerahroodi, B. Shankar, E. Mehrshahi, and S. A. Ghorashi, "Waveform design for 4D-imagingmmWave PMCW MIMOradars with spectrum compatibility," in Proc. 20th Eur. Radar Conf., 2023, pp. 110-113.
J. Li and P. Stoica, Adaptive Signal Design for MIMO Radars, Hoboken, NJ, USA: Wiley, 2009, pp. 193-234.
"Design guide: TIDEP-01012-Imaging radar using cascaded mmWave sensor reference design (REV. A)," Texas Instruments Inc., Dallas, TC, USA, 2019. [Online]. Available: http://www.ti.com/lit/ ug/tiduen5a/tiduen5a.pdf
"Vayyar 4Dimaging radar on chip," 2021. [Online].Available: https: //vayyar.com/technology/#hardware
A. Ganis et al., "A portable 3-D imaging FMCW MIMO radar demonstrator with a 24 × 24 antenna array for medium-range applications," IEEE Trans. Geosci. Remote Sens., vol. 56, no. 1, pp. 298-312, Jan. 2018.
K. E. Dungan, C. D. Austin, J. W. Nehrbass, and L. C. Potter, "Civilian vehicle radar data domes," in Proc. SPIE, vol. 7699, 2010, Art. no. 76990P.