Abstract

We propose a novel MIMO scheme over multimode fiber, acting as a distributed random code generator fed by spatial codes, using silicon photonics in the transmitter and efficient list-based hierarchical sub-maximum-likelihood electronic detection in the receiver, providing an alternative to CWDM for implementation of ultra-high speed parallel transmission over short-range optical interconnects.

© 2008 Optical Society of America

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References

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  1. M. Greenberg, M. Nazarathy, and M. Orenstein, CMQ4, CLEO, 2007.
  2. M. Greenberg, M. Nazarathy, and M. Orenstein, "Massively parallel transmission over multimode fiber applied to 100 Gigabit Ethernet using Gilbert-Varshamov codes," OECC/IOCC 10B2-3 2007.
  3. M. Greenberg, M. Nazarathy, and M. Orenstein, "Multimode fiber as random code generator-application to massively parallel MIMO transmission," accepted to J. Lightwave Technol.
  4. C. E. Shannon, "A mathematical theory of communication," Bell Sys. Tech. J. 27, 379-423, 623-656, (1948).
  5. P. C. Chang, J. May, and R. M. Gray, "Hierarchical vector quantizes with table-lookup encoders," in Proc. 1985 IEEE Int. Conf. Communications, 3, pp. 1452-1455. (1985).
  6. M. Sudan, "List decoding: Introduction 1," http://theory.lcs.mit.edu/~madhu/papers/ifip-journ.ps.
  7. Q. Xu, B. Schmidt, J. Shakya, and M. Lipson, "Cascaded silicon micro-ring modulators for WDM optical interconnection," Opt. Express 14, 9430-9435 (2006).
    [CrossRef]
  8. J. Barry, E. Lee, and D. Messerschmitt, Digital Communication, 3rd ed., (Kluwer Academic Publishers, 2004).
  9. Y. Yadin and M. Orenstein, "Parallel optical interconnects over multimode waveguide," J. Lightwave Technol. 24, 380-386 (2006).
    [CrossRef]
  10. M. Greenberg, M. Nazarathy, and M. Orenstein, "Data parallelization by optical MIMO transmission over multi-mode fiber with inter-modal coupling," J. Lightwave Technol. 25, 1503-1514 (2007).
    [CrossRef]
  11. P. Pepeljugoski, J. A. Tiero, A. Risteski, S. K. Reynolds, and L. Schares, "Performance of simulated Annealing Algorithm in equalized multimode fiber links with Linear Equalizers," J. Lightwave Technol. 24, 4235-4249 (2006).
    [CrossRef]
  12. Y. Yadin and M. Orenstein, "Parallel optical interconnects over multimode waveguides using mutually coherent channels and direct detection," J. Lightwave Technol. 24, 380-386 (2006).
    [CrossRef]
  13. R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali "Capacity enhancement in Coherent Optical MIMO (COMIMO) multimode fiber links," IEEE Commun. Lett. 10, 195-197 (2006).
    [CrossRef]
  14. M. Greenber, M. Nazarathy, and M. Orenstein, "Efficient hierarchical list decoder for 100 gigabit ethernet optical MIMO," WEE 4, LEOS 2007.
  15. J. Kahn, "Compensating multimode fiber dispersion using Adaptive Optics," in OFC '07, OTuL1 (2007).

2007 (1)

2006 (5)

Greenberg, M.

Hsu, R. C. J.

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali "Capacity enhancement in Coherent Optical MIMO (COMIMO) multimode fiber links," IEEE Commun. Lett. 10, 195-197 (2006).
[CrossRef]

Jalali, B.

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali "Capacity enhancement in Coherent Optical MIMO (COMIMO) multimode fiber links," IEEE Commun. Lett. 10, 195-197 (2006).
[CrossRef]

Lipson, M.

Q. Xu, B. Schmidt, J. Shakya, and M. Lipson, "Cascaded silicon micro-ring modulators for WDM optical interconnection," Opt. Express 14, 9430-9435 (2006).
[CrossRef]

Nazarathy, M.

Orenstein, M.

Pepeljugoski, P.

Reynolds, S. K.

Risteski, A.

Sayed, A. H.

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali "Capacity enhancement in Coherent Optical MIMO (COMIMO) multimode fiber links," IEEE Commun. Lett. 10, 195-197 (2006).
[CrossRef]

Schares, L.

Schmidt, B.

Q. Xu, B. Schmidt, J. Shakya, and M. Lipson, "Cascaded silicon micro-ring modulators for WDM optical interconnection," Opt. Express 14, 9430-9435 (2006).
[CrossRef]

Shah, A.

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali "Capacity enhancement in Coherent Optical MIMO (COMIMO) multimode fiber links," IEEE Commun. Lett. 10, 195-197 (2006).
[CrossRef]

Shakya, J.

Q. Xu, B. Schmidt, J. Shakya, and M. Lipson, "Cascaded silicon micro-ring modulators for WDM optical interconnection," Opt. Express 14, 9430-9435 (2006).
[CrossRef]

Tarighat, A.

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali "Capacity enhancement in Coherent Optical MIMO (COMIMO) multimode fiber links," IEEE Commun. Lett. 10, 195-197 (2006).
[CrossRef]

Tiero, J. A.

Xu, Q.

Q. Xu, B. Schmidt, J. Shakya, and M. Lipson, "Cascaded silicon micro-ring modulators for WDM optical interconnection," Opt. Express 14, 9430-9435 (2006).
[CrossRef]

Yadin, Y.

IEEE Commun. Lett. (1)

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali "Capacity enhancement in Coherent Optical MIMO (COMIMO) multimode fiber links," IEEE Commun. Lett. 10, 195-197 (2006).
[CrossRef]

J. Lightwave Technol. (4)

Opt. Express (1)

Q. Xu, B. Schmidt, J. Shakya, and M. Lipson, "Cascaded silicon micro-ring modulators for WDM optical interconnection," Opt. Express 14, 9430-9435 (2006).
[CrossRef]

Other (9)

J. Barry, E. Lee, and D. Messerschmitt, Digital Communication, 3rd ed., (Kluwer Academic Publishers, 2004).

M. Greenber, M. Nazarathy, and M. Orenstein, "Efficient hierarchical list decoder for 100 gigabit ethernet optical MIMO," WEE 4, LEOS 2007.

J. Kahn, "Compensating multimode fiber dispersion using Adaptive Optics," in OFC '07, OTuL1 (2007).

M. Greenberg, M. Nazarathy, and M. Orenstein, CMQ4, CLEO, 2007.

M. Greenberg, M. Nazarathy, and M. Orenstein, "Massively parallel transmission over multimode fiber applied to 100 Gigabit Ethernet using Gilbert-Varshamov codes," OECC/IOCC 10B2-3 2007.

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

C. E. Shannon, "A mathematical theory of communication," Bell Sys. Tech. J. 27, 379-423, 623-656, (1948).

P. C. Chang, J. May, and R. M. Gray, "Hierarchical vector quantizes with table-lookup encoders," in Proc. 1985 IEEE Int. Conf. Communications, 3, pp. 1452-1455. (1985).

M. Sudan, "List decoding: Introduction 1," http://theory.lcs.mit.edu/~madhu/papers/ifip-journ.ps.

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Figures (3)

Fig. 1.
Fig. 1.

100 Gbps MIMO transmission system over MMF

Fig. 2.
Fig. 2.

(a). Equivalent channel model. (b). Bit-flip probability vs nT for different δ.

Fig. 3.
Fig. 3.

(a). Evolution of the input spatial code G to the output random code ℂ. (b) Resulting bit error probability for different number of detectors, with/without thermal noise.

Equations (6)

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Γ ( λ , D ) ( I i ) = I i D 1 exp { I i λ } ( λ ) D ( D 1 ) !
c i = sgn [ I i I i ¯ ] 2 + 1 2 { 0 , 1 }
r = c ε , c [ H ]
P ( err I i = α ) = I ¯ 1 2 π σ n exp { ( x α ) 2 2 σ n 2 } dx = Q ( I ¯ α σ n )
P ε = P 01 = E α [ P ( ε I i = α ) ] = 0 I ¯ Q ( I ¯ α σ n ) Γ ( λ , D ) ( α ) d α .
P e = P 1 + ( 1 P 1 ) P 2 P 1 + P 2

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