Fault tolerant computation of large inner products

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Fault tolerant computation of large inner products

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A new technique for applying fault tolerance to modulus replication RNS computations by adding redundancy to the independent computational channels is introduced. This technique provides a low-overhead solution to fault tolerant large inner product computations.

Inspec keywords: error detection; residue number systems; fault tolerant computing; error correction; redundancy

Other keywords: modulus replication RNS computations; fault tolerance; large inner products; redundancy; independent computational channels; low-overhead solution; fault tolerant computation

Subjects: Digital arithmetic methods

References

    1. 1)
      • N.M. Wigley , G.A. Jullien , D. Reaume . Large dynamic range computations over small finite rings. IEEE Trans. Comput. , 1 , 78 - 86
    2. 2)
      • Jullien, G.A., Bizzan, S.S., Wigley, N.M., Miller, W.C.: `Using redundant finite rings for fault tolerant signal processors', Proc. SPIE, Advanced Signal Processing: Algorithms, Architectures,and Implementations V, 1994, 2296, p. 785–796.
    3. 3)
      • G.A. Jullien , W. Luo , N.M. Wigley . High throughput VLSI DSP using replicated finite rings. J. VLSI Signal Process. , 207 - 220
    4. 4)
      • R. Lidl , H. Niederreiter . (1994) Introduction to finite fields and their applications.
    5. 5)
      • R.E. Blahut . (1985) Fast algorithms for digital signal processing.
    6. 6)
      • Imbert, L., Jullien, G.A.: `Fault tolerant computation of large inner products', RR-01.A201, Research report, February 2001, Accessible electronically at http://www.enel.ucalgary.ca/~imbert.
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