The goal of the design and optimization phase in analog integrated circuits conception is to get the structure yielding the best system performance. The parameters of various components (resistance, capacitance, transistors, etc) of the circuit are set to the optimized nominal values, but no guarantee exists that these values will be conserved during the fabrication process. As a matter of fact...

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Tolerance sensitivity analysis was conceived in 1980 as a pragmatic approach to effectively characterize a parametric region over which objective function coefficients and right-hand-side terms in linear programming could vary simultaneously and independently while maintaining the same optimal basis. As originally proposed, the tolerance region corresponds to the maximum percentage by which coe...

We present an efficient algorithm for worst-case and statistical kinematic tolerance analysis of mechanisms with parametric part tolerances. The algorithm derives the kinematic variation directly from the part geometry, the part degrees of freedom, and the allowable parameter variations. It first derives a geometric representation of the kinematic variation as parametric surfaces in the mechani...

This article presents numerical methods in order to solve problems of tolerance analysis. A geometric specification, a contact specification and a functional requirement can be respectively characterized by a finite set of geometric constraints, a finite set of contact constraints and a finite set of functional constraints. Mathematically each constraint formalises a n-face (hyperplan of dimens...

A semantic tolerance modeling scheme based on generalized intervals was recently proposed to allow for embedding more tolerancing intents in specifications with a combination of numerical intervals and logical quantifiers. By differentiating a priori and a posteriori tolerances, the logic relationships among variables can be interpreted, which is useful to verify completeness and soundness of n...

Let E(y) = Xb be the traditional linear regression model and let b̂ be an estimate of the unknown vector of regression parameters b. The tolerance quotient δ∗, defined and studied by Hlad́ık and Černý in (Interval regression by tolerance analysis approach, preprint in KAM-DIMATIA Series 963, 2010) is the least δ ≥ 0 such that for any i, the equation yi = Xiβ, where yi is the i-th observation of t...

This document reviews various ways of performing tolerance stack analyses. This review is limited to assembly criteria which are linear or approximately linear functions of the relevant part dimensions. Beginning with the two extreme cornerstones, namely the arithmetic or worst case tolerance stack and the statistical or RSS tolerance stack method, various compromises or unifying paradigms are ...

Fault-tolerance analysis reveals possible system behavior under the influence of faults. Such analysis is essential for satellites where faults might be caused by space radiation and autonomous recovery is needed. In this paper we present a statistical simulation approach for fault-tolerance analysis of satellite On-Board Computers (OBCs) that are based on Commercial Off-The-Shelf (COTS) compon...

In this paper, we present performance analysis of algorithmic noisetolerance (ANT) techniques. First, we analyze the predictor and 'RPR based ANT schemes. Next, we present a hybrid ANT scheme :which is resilient to burst errors usually occurring in a high softerror rate (Per) region. For a frequency selective FIR Pltering, it is shown that simulation results match well with the analytic bounds ...