Advertisement

Optical Computing for Digital Signal Process in Incoherent Fiber System Using Positive Realization

  • Kyungsup Kim
  • Jaecheol Ryou
  • Woo-Tak Jung
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 301)

Abstract

We discuss an optical digital signal process in incoherent optical fiber system. Due to the strong dependence on environmental fluctuations, stable photonic filters are difficult to implement under coherent operation. We pay attention to a stable robust technique operating in incoherent optical domain. Most of coefficients of filters working under incoherent optical domain are positive. Finding a realization of an optimal digital filter under positive constraints is known as an open and difficult problem. We propose a novel constructive method to implement optical digital filter using the sparse positive realization with possible lower order in the incoherent optical domain.

Keywords

Optical computing Photonic filter Optical fiber Incoherent domain Positive system Positive realization Optical networks 

Notes

Acknowledgments

This research was supported by the MKE (The Ministry of Knowledge Economy), Korea, under the Support industry-university cooperation Specialization program (NIPA-2012-H0803-13-1004) supervised by the NIPA (National IT Industry Promotion Agency).

References

  1. 1.
    Benvenuti L, Farina L, Anderson B (1999) Filtering through combination of positive filters. IEEE Trans Circ Syst I: Fundam Theor Appl 46(12):1431–1440CrossRefGoogle Scholar
  2. 2.
    Benvenuti L, Farina L (2001) The design of fiber-optic filters. J Lightwave Technol 19(9):1366–1375CrossRefGoogle Scholar
  3. 3.
    Bruce Berra P, Ghafoor A, Guizani M, Marcinkowski S, Mitkas P (1989) Optics and supercomputing. Proc IEEE 77(12):1797–1815CrossRefGoogle Scholar
  4. 4.
    Binh LN (2008) Photonic signal processing: techniques and applications. CRC Press, Taylor and Francis, Boca RatonGoogle Scholar
  5. 5.
    Bobbio A, Horvath A, Scarpa M, Telek M (2003) Acyclic discrete phase type distributions: properties and a parameter estimation algorithm. Perform Eval 54(1):1–32CrossRefGoogle Scholar
  6. 6.
    Capmany J, Ortega B, Pastor D, Sales S (2005) Discrete-time optical processing of microwave signals. J Lightwave Technol 23(2):702–723CrossRefGoogle Scholar
  7. 7.
    Capmany J, Ortega B, Pastor D (2006) A tutorial on microwave photonic filters. J Lightwave Technol 24(1):201CrossRefGoogle Scholar
  8. 8.
    Commault C, Mocanu S (2003) Phase-type distributions and representations: some results and open problems for system theory. Int J Control 76(6):566–580CrossRefzbMATHMathSciNetGoogle Scholar
  9. 9.
    Farina L, Rinaldi S (2000) Positive linear systems: theory and applications. Wiley Interscience, New YorkCrossRefGoogle Scholar
  10. 10.
    He QM, Zhang H, Xue J (2011) Algorithms for coxianization of phase-type generators. INFORMS J Comput 23(1):153–164CrossRefzbMATHMathSciNetGoogle Scholar
  11. 11.
    Kim K (2012) A construction method for positive realizations with an order bound. Syst Control Lett 61(7):759–765CrossRefzbMATHGoogle Scholar
  12. 12.
    Mocanu S, Commault C (1999) Sparse representations of phase-type distributions. Communications in statistics. Stoch Models 15(4):759–778CrossRefzbMATHMathSciNetGoogle Scholar
  13. 13.
    Moslehi B, Goodman J, Tur M, Shaw H (1984) Fiber-optic lattice signal processing. Proc IEEE 72(7):909–930CrossRefGoogle Scholar
  14. 14.
    Muratori S, Rinaldi S (1991) Excitability, stability, and sign of equilibria in positive linear systems. Syst Control Lett 16(1):59–63CrossRefzbMATHMathSciNetGoogle Scholar
  15. 15.
    Nagy B, Matolcsi M, Szilvasi M (2007) Order bound for the realization of a combination of positive filters. IEEE Trans Autom Control 52(4):724–729CrossRefMathSciNetGoogle Scholar
  16. 16.
    Neuts MF (1994) Matrix-geometric solutions in stochastic models. Dover Publications, New YorkGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of Computer EngineeringChungnam National UniversityDaejeonKorea

Personalised recommendations