## Abstract

Hardware for performing matrix operations at high speeds is in great demand in signal and image processing and in many real-time and scientific applications. VLSI technology has made it possible to perform fast large-scale vector and matrix computations by using multiple copies of low-cost processors. Since any functional error in a high performance system may seriously jeopardize the operation of the system and its data integrity, some level of fault-tolerance must be obtained to ensure that the results of long computations are valid. A low-cost checksum scheme had been proposed to obtain fault- tolerant matrix operations on multiple processor systems. However, this scheme can only correct errors in matrix multiplication; it can detect, but not correct errors in matrix-vector multiplication, LU- decomposition, and matrix inversion. In order to solve these problems with the checksum scheme, a very general matrix encoding scheme is proposed in this paper to achieve fault-tolerant matrix operations with multiple processor systems. Since many signal and image processing algorithms involving a wmultiply-and-accumulateM type of expression can be transformed into matrix-vector multiplication operations and executed in a linear array, this scheme is extremely useful for cost-effective and fault-tolerant signal and image processing.

Original language | English |
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Pages (from-to) | 94-101 |

Number of pages | 8 |

Journal | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 495 |

DOIs | |

State | Published - 28 Nov 1984 |