Abstract
In this chapter we introduce the beamspace (BS) domain representation of a novel single RF MIMO architecture that uses parasitic antenna arrays at both ends of a link. Inspired by this modeling approach, a method to estimate the multiplexing capabilities of parasitic antennas with arbitrary loading is presented that enables the derivation of the available degrees of freedom (DoF), subject to the array’s geometry, as well as the channel conditions.
Keywords
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- 1.
This means that the antenna array is able to produce a tight beam and steer it toward the direction of each scatterer.
- 2.
||. ||F denotes the Frobenius norm.
- 3.
In principle the multiple data pipes are considered as uncorrelated, as the diverse transmit symbols map orthogonal basis patterns. Although in this section this is attained for rich-scattering environment, in the following section the case of adaptive basis patterns computation and channel-aware analysis is discussed.
References
H. Bolcskei, D. Gesbert, C. Papadias, A.-J. van der Veen, Space-Time Wireless Systems, from Array Processing to MIMO Communications (Cambridge University Press, New York, 2006)
H. Holma, A. Toskala, LTE for UMTS: Evolution to LTE-Advanced (Wiley, Chichester, 2011)
I. C. Society, the IEEE Microwave Theory, T. Society, Ieee std 802.16m, ieee standard for local and metropolitan area networks, part 16: Air interface for broadband wireless access systems, amendment 3: Advanced air interface, IEEE, Tech. Rep., 2011
A. Molisch, M. Win, Y. Choi, J. Winters, Capacity of MIMO systems with antenna selection. IEEE Trans. Wirel. Commun. 4(4), 1759–1772 (2005)
L. Dai, S. Sfar, K. Letaief, Optimal antenna selection based on capacity maximization for MIMO systems in correlated channels. IEEE Trans. Commun. 54(3), 563–573 (2006)
A. Dua, K. Medepalli, A. Paulraj, Receive antenna selection in MIMO systems using convex optimization. IEEE Trans. Wirel. Commun. 5(9), 2353–2357 (2006)
I. Berenguer, X. Wang, V. Krishnamurthy, Adaptive MIMO antenna selection via discrete stochastic optimization. IEEE Trans. Signal Process. 53(11), 4315–4329 (2005)
P. Karamalis, N. Skentos, A. Kanatas, Adaptive antenna subarray formation for MIMO systems. IEEE Trans. Wirel. Commun. 5(11), 2977–2982 (2006)
P. Theofilakos, A. Kanatas, Maximising capacity of MIMO systems with receive antenna subarray formation. Electron. Lett. 44(20), 1204–1205 (2008)
P. Theofilakos, A. Kanatas, Capacity performance of adaptive receive antenna subarray formation for MIMO systems. EURASIP J. Wirel. Commun. Netw. 2007, p. 12 (2007) Article ID 56471. doi:10.1155/2007/56471
C.A. Balanis, Antenna Theory: Analysis and Design, 3rd edn. (Wiley, London, 2005)
A. Paulraj, R. Nabar, D. Gore, Introduction to Space-Time Wireless Communications (Cambridge University Press, London, 2003)
H.T. Hui, A practical approach to compensate for the mutual coupling effect in an adaptive dipole array. IEEE Trans. Antennas Propag. 52(5), 1262–1269 (2004)
J. Wallace, M. Jensen, Termination dependent diversity performance of coupled antennas: network theory analysis. IEEE Trans. Antennas Propag. 52(1), 98–105 (2004)
J. Wallace, M. Jensen, Mutual coupling in MIMO wireless systems: a rigorous network theory analysis. IEEE Trans. Wirel. Commun. 3(4), 1317–1325 (2004)
H. Steyskal, J. Herd, Mutual coupling compensation in small array antennas. IEEE Trans. Antennas Propag. 38(12), 1971–1975 (1990)
C. Waldschmidt, S. Schulteis, W. Wiesbeck, Complete RF system model for analysis of compact MIMO arrays. IEEE Trans. Veh. Technol. 53(3), 579–586 (2004)
P. Teal, T. Abhayapala, R. Kennedy, Spatial correlation for general distributions of scatterers. IEEE Signal Process. Lett. 9(10), 305–308 (2002)
C. Oestges, V. Erceg, A. Paulraj, Propagation modeling of MIMO multipolarized fixed wireless channels. IEEE Trans. Veh. Technol. 53(3), 644–654 (2004)
R. Vaughan, Polarization diversity in mobile communications. IEEE Trans. Veh. Technol. 39(3), 177–186 (1990)
F. Quitin, C. Oestges, F. Horlin, P. De Doncker, Multipolarized MIMO channel characteristics: analytical study and experimental results. IEEE Trans. Antennas Propag. 57(9), 2739–2745 (2009)
V. Degli-Esposti, V.-M. Kolmonen, E.M. Vitucci, P. Vainikainen, Analysis and modeling on co- and cross-polarized urban radio propagation for dual-polarized MIMO wireless systems. IEEE Trans. Antennas Propag. 59(11), 4247–4256 (2011)
J. Villanen, P. Suvikunnas, C. Icheln, J. Ollikainen, P. Vainikainen, Performance analysis and design aspects of mobile-terminal multiantenna configurations. IEEE Trans. Veh. Technol. 57(3), 1664–1674 (2008)
Y. Gao, X. Chen, Z. Ying, C. Parini, Design and performance investigation of a dual-element pifa array at 2.5 ghz for mimo terminal. IEEE Trans. Antennas Propag. 55(12), 3433–3441 (2007)
R. Tian, V. Plicanic, B.K. Lau, Z. Ying, A compact six-port dielectric resonator antenna array: MIMO channel measurements and performance analysis. IEEE Trans. Antennas Propag. 58(4), 1369–1379 (2010)
O. Bucci, G. Franceschetti, On the degrees of freedom of scattered fields. IEEE Trans. Antennas Propag. 37(7), 918–926 (1989)
M. Migliore, On the role of the number of degrees of freedom of the field in MIMO channels. IEEE Trans. Antennas Propag. 54(2), 620–628 (2006)
M. Migliore, On electromagnetics and information theory. IEEE Trans. Antennas Propag. 56(10), 3188–3200 (2008)
A. Poon, D. Tse, R. Brodersen, Impact of scattering on the capacity, diversity, and propagation range of multiple-antenna channels. IEEE Trans. Inf. Theory 52(3), 1087–1100 (2006)
D. Miller, Communicating with waves between volumes: evaluating orthogonal spatial channels and limits on coupling strengths. Appl. Opt. 39(11), 1681–1699 (2000)
A. Sayeed, Deconstructing multiantenna fading channels. IEEE Trans. Signal Process. 50(10), 2563–2579 (2002)
D. Tse, P. Viswanath, Fundamentals of Wireless Communication (Cambridge University Press, New York, 2005)
A. Kalis, A. Kanatas, C. Papadias, A novel approach to mimo transmission using a single rf front end. IEEE J. Sel. Areas Commun. 26(6), 972–980 (2008)
Y.T. Lo, S.W. Lee, Antenna Handbook (Van Nostrand Reinhold Company Inc., New York, 1988)
A. Poon, R. Brodersen, D. Tse, Degrees of freedom in multiple-antenna channels: a signal space approach. IEEE Trans. Inf. Theory 51(2), 523–536 (2005)
V. Barousis, A. Kanatas, Aerial degrees of freedom of parasitic arrays for single rf front-end mimo transceivers. Prog. Electromagn. Res. B 35, 287–306 (2011)
R. Bains, R. Muller, Using parasitic elements for implementing the rotating antenna for mimo receivers. IEEE Trans. Wirel. Commun. 7(11), 4522–4533 (2008)
J.G. Proakis, Digital Communications, 4th edn. (McGraw-Hill International, New York, 2000)
T. Ohira, K. Gyoda, Electronically steerable passive array radiator antennas for low-cost analog adaptive beamforming, in 2000 IEEE International Conference on Phased Array Systems and Technology, Proceedings (2000), pp. 101–104. doi:10.1109/PAST.2000.858918
V. Barousis, A. Kanatas, A. Kalis, Beamspace-domain analysis of single-rf front-end mimo systems. IEEE Trans. Veh. Technol. 60(3), 1195–1199 (2011)
L.M. Correia, Wireless Flexible Personalised Communications (COST 259 Final Report) (Wiley, Chichester, 2001)
V. Barousis, A. Kanatas, A. Kalis, C. Papadias, A stochastic beamforming algorithm for espar antennas. IEEE Antennas Wirel. Propag. Lett. 7, 745–748 (2008)
M. Sanchez-Fernandez, E. Rajo-Iglesias, O. Quevedo-Teruel, M. Pablo-Gonzalez, Spectral efficiency in mimo systems using space and pattern diversities under compactness constraints. IEEE Trans. Veh. Technol. 57(3), 1637–1645 (2008)
J. Kermoal, L. Schumacher, K. Pedersen, P. Mogensen, F. Frederiksen, A stochastic mimo radio channel model with experimental validation. IEEE J. Sel. Areas Commun. 20(6), 1211–1226 (2002)
Z. Xu, S. Sfar, R. Blum, Receive antenna selection for closely-spaced antennas with mutual coupling. IEEE Trans. Wirel. Commun. 9(2), 652–661 (2010)
H.N.M. Mbonjo, J. Hansen, V. Hansen, MIMO capacity and antenna array design, in Global Telecommunications Conference, GLOBECOM ’04. IEEE, 5, 3155–3159 (2004). doi:10.1109/GLOCOM.2004.1378933
O. Oestges, B. Clerckx, MIMO Wireless Communications, from Real-World to Space-Time Code Design, 1st edn. (Elsevier, Oxford, 2007)
C. Sun, A. Hirata, T. Ohira, N. Karmakar, Fast beamforming of electronically steerable parasitic array radiator antennas: theory and experiment. IEEE Trans. Antennas Propag. 52(7), 1819–1832 (2004)
P. Vasileiou, E. Thomatos, K. Maliatsos, A. Kanatas, Adaptive basis patterns computation for espar antennas, in IEEE 77th Vehicular Technology Conference: VTC2013-Spring. IEEE, Dresden, Germany (2013)
P. Vasileiou, K. Maliatsos, E. Thomatos, A. Kanatas, Reconfigurable orthonormal basis patterns using espar antennas. IEEE Antennas Wirel. Propag. Lett. 12, 448–451 (2013)
L. Hentil, P. Kysti, M. Kske, M. Narandzic, M. Alatossava, Matlab implementation of the winner phase ii channel model ver1.1. [Online]. Available: www.ist-winner.org/phase_2_model.html. Accessed July 2013
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3.1 Appendix A: Proof of (3.25)
According to [36], the first basis pattern is chosen as:
The projection q 10 of \(\tilde{a}_{1}\left (\theta,\varphi \right )\) onto \(B_{0}\left (\theta,\varphi \right )\) is computed as:
Therefore:
The projection q 21 is computed after long mathematical manipulations considering several trigonometric identities and the Weber function of the first order \(E_{1}\left (z\right )\) given in (3.27) as:
and
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Kanatas, A.G. (2014). Beamspace MIMO and Degrees of Freedom. In: Kalis, A., Kanatas, A., Papadias, C. (eds) Parasitic Antenna Arrays for Wireless MIMO Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7999-4_3
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