Skip to main content Accessibility help
×
Home

Minimum redundancy MIMO array synthesis with a hybrid method based on cyclic difference sets and ACO

  • Jian Dong (a1), Ronghua Shi (a1) and Ying Guo (a1)

Abstract

As a recently proposed concept, multiple-input multiple-output (MIMO) radars exhibit much higher spatial resolution than traditional transmitter based radars because of the synthesized virtual array. In this paper, the problem of minimum redundancy (MR)-MIMO array synthesis is addressed, which seeks to maximize the virtual array aperture of MIMO radars for a given number of transmitting and receiving elements. A hybrid method combining autocorrelation property of cyclic difference sets (CDSs) and global search characteristics of ant colony optimization (ACO) is proposed for a rapid and numerically-effective exploration of MR-MIMO array configurations. Numerical experiments validate the proposed method, showing improvements in convergence rate and computational cost with respect to bare ACO-based search as well as improvements in the generality and configuration variety with respect to the CDS-based method.

Copyright

Corresponding author

Corresponding author: J. Dong Email: dongjian@csu.edu.cn

References

Hide All
[1] Bliss, D.W.; Forsythe, K.W.: Multiple-input multiple-output (MIMO) radar and imaging: degrees of freedom and resolution, in Proc. 37th Asilomar Conf. Signals, Systems and Computers, Pacific Grove, CA, 2003.
[2] Forsythe, K.W.; Bliss, D.W.; Fawcett, G.S.: Multiple-input multiple-output (MIMO) radar: performance issues, in Proc. 38th Asilomar Conf. Signals, Systems and Computers, Pacific Grove, CA, 2004.
[3] Takuya, T.; Masayuki, S.; Yukinobu, T.; Hiroki, S.: Hybrid SIMO and MIMO sparse array radar. Int. J. Microw. Wireless Technol., 6 (2014), 389395.
[4] Chen, C.Y.; Vaidyanathan, P.P.: MIMO radar space-time adaptive processing using prolate spheroidal wave functions. IEEE Trans. Signal Process., 56 (2008), 623635.
[5] Wang, W.Q.: Virtual antenna array analysis for MIMO synthetic aperture radars. Int. J. Antennas Propag., 1 (2012), 110.
[6] Wang, W.Q.; Shao, H.Z.; Cai, J.Y.: MIMO antenna array design with polynomial factorization. Int. J. Antennas Propag., 1 (2013), 19.
[7] Chen, C.Y.; Vaidyanathan, P.P.: Minimum redundancy MIMO radars, in Proc. Int. Symp. Circuits and Systems (ISCAS), Seattle, WA, 2008.
[8] Moffet, A.T.: Minimum-redundancy linear arrays. IEEE Trans. Antennas Propag., 16 (1968), 172175.
[9] Pillai, S.U.; Bar-Ness, Y.; Haber, F.: A new approach to array geometry for improved spatial spectrum estimation. Proc. IEEE, 73 (1985), 15221524.
[10] Karaman, M.; Wygant, I.O.; Oralkan, O.; Khuri-Yakub, B.T.: Minimally redundant 2-D array designs for 3-D medical ultrasound imaging. IEEE Trans. Med. Imag., 28 (2009), 10511061.
[11] Pal, Piya; Vaidyanathan, P.P.: Nested arrays: a novel approach to array processing with enhanced degrees of freedom. IEEE Trans. Signal Process., 58 (2010), 41674181.
[12] Rezer, R.; Gropengießer, W.; Jacob, A.F.: Particle swarm optimization of minimum-redundancy MIMO arrays, in Microwave Conf. (GeMIC), Darmstadt, 2011.
[13] Leeper, D.G.: Isophoric arrays—massively thinned phased arrays with well-controlled sidelobes. IEEE Trans. Antennas Propag., 47 (1999), 18251835.
[14] Caorsi, S.; Lommi, A.; Massa, A.; Pastorino, M.: Peak sidelobe level reduction with a hybrid approach based on gas and difference sets. IEEE Trans. Antennas Propag., 52 (2004), 11161121.
[15] Kwon, G.; Hwang, K.-C.; Park, J.-Y.; Kim, S.-J.; Kim, D.-H.: GA-enhanced thin square array with cyclic difference sets. IEICE TRANS. electron., E96-C (2013), 612614.
[16] Oliveri, G.; Donelli, M.; Massa, A.: Linear array thinning exploiting almost difference sets. IEEE Trans. Antennas Propag., 57 (2009), 38003812.
[17] Oliveri, G.; Manica, L.; Massa, A.: ADS-based guidelines for thinned planar arrays. IEEE Trans. Antennas Propag., 58 (2010), 19351948.
[18] Oliveri, G.; Massa, A.: Genetic algorithm (GA)-enhanced almost difference set (ADS)-based approach for array thinning. IET Microw. Antennas Propag., 5 (2011), 305315.
[19] Dong, J.; Li, Q.X.; Guo, W.: A combinatorial method for antenna array design in minimum redundancy MIMO radars. IEEE Antennas Wireless Propag. Lett., 8 (2009), 11501153.
[20] Dong, J.; Shi, R.H.; Lei, W.T.; Guo, Y.: Minimum redundancy MIMO array synthesis by means of cyclic difference sets. Int. J. Antennas Propag., 1 (2013), 19.
[21] Baumert, L.D.: Cyclic Difference Sets, Lecture Notes in Math, vol. 182, Springer-Verlag, Berlin, Heidelberg, New York, 1971.
[22] Hall, M. Jr.: Combinatorial Theory, 2nd ed., John Wiley & Sons, Inc., New York, NY, USA, 1998.
[23] Gordon, D.: La Jolla Cyclic Difference Set Repository [online]. Available: http://www.ccrwest.org/diffsets.html.
[24] Oliveri, G.; Caramanica, F.; Migliore, M.D.; Massa, A.: Synthesis of non-uniform MIMO arrays through combinatorial sets. IEEE Antennas Wireless Propag. Lett., 11 (2012), 728731.
[25] Leech, J.: On the representation of 1,2,…,n by differences. J. London Math. Soc., 31 (1956), 60169.
[26] Linebarger, D.A.; Sudborough, I.H.; Tollis, I.G.: Difference bases and sparse sensor arrays. IEEE Trans. Inform. Theory, 39 (1993), 716721.
[27] Rocca, P.; Manica, L.; Massa, A.: Ant colony based hybrid approach for optimal compromise sum-difference patterns synthesis. Microw. Opt. Technol. Lett., 52 (2010), 128132.
[28] Óscar, Q.-T.; Eva, R.-I.: Ant colony optimization in thinned array synthesis with minimum sidelobe level. IEEE Antennas Wireless Propag. Lett., 5 (2006), 349352.
[29] Rocca, P.; Manica, L.; Massa, A.: An improved excitation matching method based on an ant colony optimization for suboptimal-free clustering in sum-difference compromise synthesis. IEEE Trans. Antennas Propag., 57 (2009), 22972306.
[30] Dong, J.; Li, Q.X.; Jin, R.; Zhu, Y.T.; Huang, Q.L.; Gui, L.Q.: A method for seeking low-redundancy large linear arrays for aperture synthesis microwave radiometers. IEEE Trans. Antennas Propag., 58 (2010), 19131921.
[31] Oliveri, G.; Rocca, P.; Poli, L.; Carlin, M.; Massa, A.: Evolutionary strategies for advanced array optimization, in IEEE Int. Symp. on Antennas and Propagation (APSURSI), Spokane, WA, 2011.
[32] Kopilovich, L.E.: Square array antennas based on hadamard difference sets. IEEE Trans. Antennas Propag., 56 (2008), 263266.
[33] Oliveri, G.; Caramanica, F.; Fontanari, C.; Massa, A.: Rectangular thinned arrays based on McFarland difference sets. IEEE Trans. Antennas Propag., 59 (2011), 15461552.

Keywords

Minimum redundancy MIMO array synthesis with a hybrid method based on cyclic difference sets and ACO

  • Jian Dong (a1), Ronghua Shi (a1) and Ying Guo (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed