Fault-tolerant matrix operations on multiple processor systems using weighted checksums

Jing Yang Jou, Jacob A. Abraham

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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 languageEnglish
Pages (from-to)94-101
Number of pages8
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 28 Nov 1984


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