Read e-book online Fault Diagnosis and Fault Tolerance: A Systematic Approach PDF

By Tinghuai Chen

ISBN-10: 3540549625

ISBN-13: 9783540549628

ISBN-10: 3642771793

ISBN-13: 9783642771798

With the fast development of integration scale of VLSI chips and the current desire for trustworthy desktops in house exploration, fault analysis and fault toleran­ ce became extra very important than sooner than, and therefore exhibit loads of curiosity­ ing issues which magnetize many researchers to make lots of contribu­ tions to this box. in recent times, many new and critical effects were accomplished. a brief experiment over the lawsuits of the meetings on fault­ tolerant computing and layout automation in addition to on trying out will persuade the reader of that. yet regrettably those achievements haven't been complete­ ly mirrored within the textbooks, in order that there looks a spot for the recent researcher who already has the fundamental wisdom and needs to start learn during this zone. As a therapy for this deficiency, this booklet is meant for start­ ners, particularly graduate scholars, as a textbook with the intention to make them the frontier of a few branches of the fault-tolerant computing box. the 1st bankruptcy introduces the four-valued common sense B4 and its applica­ tions. In 1966 Roth first proposed this four-valued common sense as a method to generate checks for logical circuits, yet this paintings didn't trouble the mathe­ matical foundation of B4 itself.

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It is not difficult for the reader to verify the above results. If we use these rules carefully. we can determine also whether there is a dynamiC hazard at the output or not by computing the values from the input x gate-by-gate. Since LS does not satisfy the complement law or the absorption law. in order to simplify the computation. D as follows o# = D·D- (beware ¢ 0). D# D·D =D + = D·(D + D) # =D + ~ =D + 1 (¢D). - D (beware ¢ 1). D· D = D· (D + D) (¢D) . the 49 The system {O,I,D,D} satisfies the properties 1) - 6) and also the distributive law: x(y + z) = xy + xz, x + yoz = (x + y)(x + z).

12 Example for identifying hazards (x + y)(y + y). only the terms xiy*. Xi? x*y*. X*? 18 1#. e. the F1h = Xl + yO + x*yO + x*yo. 17 consider e = X 0 Y1 . = xy + y; among the three terms of F* only the term x*y can cause the term xy of F e to produce D-D. Hence 0_ F*h =xy * 1 + xy F*h = Xw" Y Then examine the three terms of F"; only the term X*y* can cause D-D for hence F*h = X*y*, F*h x*yl + xOy*. The above results can be verified from the circuit. For example, for F" D, y = D, then the output of the AND gate is D-D, the output of the NOT gate is D, and finally the output of the OR gate is ~ = D + D-D.

When fault ~(y. ••• y. ~. ···a . ) occurs. all the products except 11 12 Is 11 12 Is -,. ~ the product (Yp ) with ~ one ) are zero because at least 12 lip I variable in each of them is not activated. so its *-component is equal to zero. Thus F" + (a . 11 a. ,···,a. ;;;M dF dyp ~* (y P ). 3 Assume that Yp is a subset fault occurs, ~(Y1Y2···ym~1a2···crm) of (Yp~) all variables E Yp are) activated iff the binary function Proof. (Yp~*) =1 iff Y ap~ Pi =1 IPI~m. e. (Yp~*) = 1. 6) equivalent to y = a Pi Pi Pi Pi in the normal case and y = a in the faulty case for all variables YP E yp' Pi Pi That means Yp is entirely activated.

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Fault Diagnosis and Fault Tolerance: A Systematic Approach to Special Topics by Tinghuai Chen

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