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Performance of modified Faddeev algorithm on optical processors

Performance of modified Faddeev algorithm on optical processors

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© The Institution of Electrical Engineers
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An optical processor realising the versatile Faddeev algorithm is programmable and can be used for several computations such as matrix multiplications, decompositions and inversions just by changing the structure of the data stored. Optical processors have round-off spatial errors and noise limiting the accuracy of computations. It is shown that the use of a preprocessed Faddeev algorithm on an optical processor can produce more accurate results than an optical processor realising the standard Faddeev algorithm. The procedure for preprocessing and possible optical realisations of the preprocessed Faddeev algorithm on optical processors are described. Simulation results show the improved accuracy of such preprocessed Faddeev algorithm based computations.

Inspec keywords: digital arithmetic; optical logic; matrix algebra

Other keywords: optical processor noise; optical processors; matrix multiplications; matrix decompositions; modified Faddeev algorithm; stored data structure; programmable; preprocessed Faddeev algorithm; matrix inversions; round-off spatial errors

Subjects: Optical logic devices and optical computing techniques; Digital arithmetic methods; Optical computing techniques

References

    1. 1)
      • G.H. Golub , C.F.V. Loan . (1989) , Matrix computations.
    2. 2)
      • A. Ghosh , P. Paparao . Performance analysis of matrix preconditioning algorithms on parallel optical processors. J. Opt. Soc. Am. A , 39 - 48
    3. 3)
      • R.A. Athale , J.N. Lee . Optical processing using outer-product concepts. Proc. IEEE , 931 - 941
    4. 4)
      • J.G. Nash , S. Hansen . Modified Faddeev algorithm for concurrent execution of linear algebraic operations. IEEE Trans. , 129 - 137
    5. 5)
      • D. Casasent , A. Ghosh . Lu and Cholesky decomposi-tions on an optical systolic array processor. Opt. Commun. , 270 - 272
    6. 6)
      • A. Ghosh , D. Casasent , C.P. Neuman . Performance of direct and iterative algorithms on an optical systolic processor. Appl. Opt. , 3883 - 3892
    7. 7)
      • J.A. Neff , R.A. Athale , S.H. Lee . Two-dimensional spatial light modulators: tutorial. Proc. IEEE , 826 - 855
    8. 8)
      • B.H. Soffer , Y. Owechko , E. Marom , J. Grinberg . Programmable real-time incoherent matrix multiplier for optical processing. Appl. Opt. , 2295 - 2305
    9. 9)
      • Ghosh, A., Paparao, P.: `Parallel matrix computations using two-dimensional spatial light modulators', Proceedings of the International Symposium on Electronic Devices, Circuits and Systems, 1987, , p. 311–313.
    10. 10)
      • D.K. Faddeev , V.N. Faddeeva . (1963) , Computational methods of linear algebra.
    11. 11)
      • D. Casasent , A. Ghosh . Direct and implicit optical matrix-vector algorithms. Appl. Opt. , 3572 - 3578
    12. 12)
      • P. Paparao , A. Ghosh . Split-step algorithm for matrix preconditioning and inversion on systolic arrays. IEE Proc. E , 205 - 210
    13. 13)
      • H.G. Yeh . Systolic implementation on Kalman filters. IEEE Trans. , 1514 - 1517
    14. 14)
      • S. Barua . Systolic implementation of Kalman filters using programmable real-time incoherent matrix multipliers. Proc. SPIE , 200 - 205
    15. 15)
      • D. Casasent , J. Jackson , C.P. Neuman . Frequency-multiplexed and pipelined iterative optical systolic array processors. Appl. Opt. , 115 - 127
    16. 16)
      • D. Casasent , B.V.K. Vijaya Kumar , J. Horner . (1987) Optical linear algebra processors, Optical signal processing.
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