Abstract

Building on a recently introduced quadratic multiple-input multiple-output (Q-MIMO) channel model making use of quadratic forms instead of linear channel matrices, we explore diverse signaling formats over the Q-MIMO channel in the frequency flat regime, highlighting the unique characteristics of optical multimode fiber (MMF) systems versus their wireless counterparts. In particular, we treat multiple-input single-output multimode fiber systems, comparing them with single-input single-output MMF systems and obtaining insight into the possibility of efficiently coupling the output of an MMF into a single-mode fiber. We further treat vector amplitude modulation over MMF MIMO and study the receiver zero-forcing (ZF) technique for MMF MIMO transmission, deriving its performance and comparing with a recently introduced ZF beamforming technique based on precoding at the transmitter, which is shown to be superior to receiver ZF.

© 2008 IEEE

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2007 (4)

A. Agmon, M. Nazarathy, "Broadcast MIMO over multimode optical interconnects by modal beamforming," Opt. Express 15, 13123-13128 (2007) http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-20-13123.

R. A. Panicker, J. P. Wilde, J. M. Kahn, D. F. Welch, I. Lyubomirsky, "10 $\times$ 10 Gb/s DWDM transmission through 2.2-km multimode fiber using adaptive optics," IEEE Photon. Technol. Lett. 19, 1154-1156 (2007).

A. Tarighat, R. C. J. Hsu, A. Shah, A. H. Sayed, B. Jalali, "Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links," IEEE Commun. Mag. 45, 57-63 (2007).

Q. Xu, S. Manipatruni, B. Schmidt, J. Shakya, M. Lipson, "12.5 Gbit/s carrier-injection-based silicon micro-ring silicon modulator," Opt. Express 15, 430-436 (2007) http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-2-430.

2006 (2)

Y. Yadin, M. Orenstein, "Parallel optical interconnects over multimode waveguide," J. Lightw. Technol. 24, 380-386 (2006).

Y. Taesang, A. Goldsmith, "On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming," IEEE J. Sel. Areas Commun. 24, 528-541 (2006).

2005 (1)

2004 (1)

Q. H. Spencer, A. L. Swindlehurst, M. Haardt, "Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channels," IEEE Trans. Signal Process. 52, 461-471 (2004).

2003 (1)

S. Kanprachar, I. Jacobs, "Diversity coding for subcarrier multiplexing on multimode fibers," IEEE Trans. Commun. 51, (2003).

2001 (1)

B. J. Dixon, R. D. Pollard, S. Iezekiel, "Orthogonal frequency-division multiplexing in wireless communication systems with multimode fiber feeds," IEEE Trans. Microwave Theory Tech. 49, 8 (2001).

2000 (1)

H. R. Stuart, "Dispersive multiplexing in multimode optical fiber," Science 289, 281-283 (2000).

1998 (2)

L. B. Aronson, B. E. Lemoff, L. A. Buckman, D. W. Dolfi, "Low-cost multimode WDM for local area networks up to 10 Gb/s," IEEE Photon. Technol. Lett. 10, 10 (1998).

G. J. Foschini, M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Pers. Commun. 6, 311-335 (1998).

1991 (1)

M. Saffman, D. Z. Anderson, "Mode multiplexing and holographic demultiplexing communication channels on a multimode fiber," Opt. Lett. 16, 300-302 (1991).

1983 (1)

G. Herskowitz, H. Kobrinski, U. Levy, "Optical power distribution in multimode fibers with angular-dependent mode coupling," J. Lightw. Technol. LT-1, 4 (1983).

IEEE J. Sel. Areas Commun. (1)

Y. Taesang, A. Goldsmith, "On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming," IEEE J. Sel. Areas Commun. 24, 528-541 (2006).

IEEE Trans. Signal Process. (1)

Q. H. Spencer, A. L. Swindlehurst, M. Haardt, "Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channels," IEEE Trans. Signal Process. 52, 461-471 (2004).

IEEE Commun. Mag. (1)

A. Tarighat, R. C. J. Hsu, A. Shah, A. H. Sayed, B. Jalali, "Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links," IEEE Commun. Mag. 45, 57-63 (2007).

IEEE Photon. Technol. Lett. (2)

R. A. Panicker, J. P. Wilde, J. M. Kahn, D. F. Welch, I. Lyubomirsky, "10 $\times$ 10 Gb/s DWDM transmission through 2.2-km multimode fiber using adaptive optics," IEEE Photon. Technol. Lett. 19, 1154-1156 (2007).

L. B. Aronson, B. E. Lemoff, L. A. Buckman, D. W. Dolfi, "Low-cost multimode WDM for local area networks up to 10 Gb/s," IEEE Photon. Technol. Lett. 10, 10 (1998).

IEEE Trans. Commun. (1)

S. Kanprachar, I. Jacobs, "Diversity coding for subcarrier multiplexing on multimode fibers," IEEE Trans. Commun. 51, (2003).

IEEE Trans. Microwave Theory Tech. (1)

B. J. Dixon, R. D. Pollard, S. Iezekiel, "Orthogonal frequency-division multiplexing in wireless communication systems with multimode fiber feeds," IEEE Trans. Microwave Theory Tech. 49, 8 (2001).

J. Lightw. Technol. (4)

M. Greenberg, M. Nazarathy, M. Orenstein, "Data parallelization by optical MIMO transmission over multimode fiber with intermodal coupling," J. Lightw. Technol. .

Y. Yadin, M. Orenstein, "Parallel optical interconnect over multimode waveguide using mutually coherent channels and direct detection," J. Lightw. Technol. .

M. Greenberg, M. Nazarathy, M. Orenstein, "Multimode fiber as random code generator- application to massively parallel MIMO transmission," J. Lightw. Technol. .

M. Greenberg, M. Nazarathy, M. Orenstein, "Performance of high-bitrate multiple-output links over multimode fiber with intermodal dispersion," J. Lightw. Technol. .

J. Lightw. Technol. (2)

Y. Yadin, M. Orenstein, "Parallel optical interconnects over multimode waveguide," J. Lightw. Technol. 24, 380-386 (2006).

G. Herskowitz, H. Kobrinski, U. Levy, "Optical power distribution in multimode fibers with angular-dependent mode coupling," J. Lightw. Technol. LT-1, 4 (1983).

Opt. Lett. (1)

M. Saffman, D. Z. Anderson, "Mode multiplexing and holographic demultiplexing communication channels on a multimode fiber," Opt. Lett. 16, 300-302 (1991).

Opt. Express (2)

Opt. Lett. (1)

Science (1)

H. R. Stuart, "Dispersive multiplexing in multimode optical fiber," Science 289, 281-283 (2000).

Wireless Pers. Commun. (1)

G. J. Foschini, M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless Pers. Commun. 6, 311-335 (1998).

Other (12)

A. Goldsmith, Wireless Communications (Cambridge Univ. Press, 2005).

D. Lenz, B. Rankov, D. Erni, W. Bachtold, A. Wittneben, "MIMO channel for modal multiplexing in highly overmoded optical waveguides," Int. Zurich Seminar Commun. (2004) pp. 196-199.

S. Schollmann, X. Chunmin, W. Rosenkranz, "Experimental investigations of mode group diversity multiplexing on multimode fibre," Proc. IEEE Opt. Fiber Commun. Conf./Nat. Fiber Opt. Eng. Conf. (OFC/NFOEC 2006) (2006).

C. P. Tsekrekos, A. Martinez, F. M. Huijskens, A. M. J. Koonen, "Mode group diversity multiplexing transceiver design for graded-index multimode fibres," ECOC'05 Conf. (2005) paper We4.P.113.

P. Pepeljukovski, "Data center and high performance computing interconnects for 100 Gb/s and beyond," OFC'07 Conf. (2007) paper OMR4.

D. Takase, T. Ohtsuki, "Optical wireless MIMO communications (OMIMO)," Proc. IEEE Global Telecommun. Conf. (GLOBECOM'04) (2004) pp. 928-932.

Kahn, "Compensating multimode fiber dispersion using adaptive optics," OFC'07 Conf. Anaheim (2007) paper OTuL1.

P. L. Neo, J. P. Freeman, T. D. Wilkinson, "Modal control of a 50 $\mu{\rm m}$ core diameter multimode fiber using a spatial light modulator," OFC'07 Conf. (2007) paper JThA21.

K. Balemarthy, S. E. Ralph, "MIMO processing of multi-mode fiber links," LEOS'06 Conf. (2006) paper WX4.

M. Greenberg, M. Nazarathy, M. Orenstein, "Data parallelization by optical MIMO transmission over multi-mode fiber with inter-modal coupling," LEOS'06 Conf. MontrealPQCanada (2006) paper WX 5.

B. Noble, J. W. Daniel, Applied Linear Algebra (Prentice-Hall, 1988).

J. W. Goodman, Speckle Phenomena in Optics (Roberts & Company, 2007).

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