Tolerance Analysis of Electronic Circuits Using MATHCAD

by ;
Edition: 1st
Format: Nonspecific Binding
Pub. Date: 1999-09-24
Publisher(s): CRC Press
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Summary

Written for the practicing electronics professional, Tolerance Analysis of Electronic Circuits Using MATHCADä offers a comprehensive, step-by-step treatment of methods used to perform analyses essential to the design process of circuit cards and systems of cards, including:· worst-case analysis,· limits for production testing,· component stress analysis,· determining if a design meets specification limits, and· manufacturing yield analysis Using a practical approach that allows engineers and technicians to put the techniques directly into practice, the author presents the mathematical procedures used to determine performance limits. The topics and techniques discussed include extreme value and root-sum-square analysis using symmetric and asymmetric tolerance, Monte Carlo analysis using normal and uniform distributions, sensitivity formulas, tolerance analyses of opamp offsets, and anomalies of high-Q ac circuits.

Author Biography

Robert R. Boyd was a technical instructor in the United States Air Force for 19 years. Upon his retirement from the USAF in 1971, he enrolled at the University of New Mexico and obtained a BSEE degree with honors in 1974. Mr. Boyd was subsequently employed in the aerospace industry in analog circuit design until 1996. He is presently a consultant in analog circuit design and analysis and teaches a course in the tolerance analysis of electronic circuits at the University of California Extension (Irvine, CA).

Table of Contents

MATHCAD
Root Sum Square and Extreme Value Analysis
MATHCAD Derivatives
Approximate Derivatives
Extreme Value Analysis (EVA)
Root Sum Square (RSS) Analysis
DC Differential Amplifier
Asymmetric Tolerances
General RSS/EVA Equation Sequence
Compare MATHCAD EVA with Spice
Compare Circuit Analysis Methods
More Compicated Circuits
RTD A Matrix
MATHCAD EVA/RSS Analysis of RTD Circuit
Tolerance Analysis of a Bandpass Filter
Spice Analysis
Bandpass Filter with Asymmetric Tolerances
Low Pass Filter
Monte Carlo Analysis
Random Number Generator
MATHCAD's Random Number Generator
Gaussian Random Number Generator (RNG)
Converting to Random Tolerances
Monte Carlo Analysis-DC Differential Amplifier
MCA of RTD Circuit
MCA Bandpass Filter (BPF)
Fast Monte Carlo Analysis-FMCA
FMCA-Bandpass Filter
MCA of BPF
Component Slopes
Sallen & Key BPF
Sallen & Key BPF-FMCA & EVA
MCA-Sallen & Key BPF
Why the MCA Spikes Occur
Estimating Manufacturing Yield
BPF Yield Analysis
Advanced Topics
Differential Amplifier
EVA/RSS of Opamp Offsets
MCA of Opamp Offsets
Comparing Normal and Uniform Distributions
MCA of Opamo Offsets (continued)
Tolerance Analysis of LM158 Opamp Stability/Phase Margin
Tolerance Analysis of an A-to-D Circuit
Decimal to 8-Bit Binary Conversion
NS MF10 Switched Capacitor Filter-Mode 3, BPF
400Hz Full-Wave Rectifier Circuit
Confidence Intervals for 3s RSS
Confidence Intervals for the Mean
Large Circuit
Comparator Circuit
100Hz Clock Generator
Iterative Transient Analysis
Half-Wave Rectifier Transient Analysis
Second Order Transient Analysis
Transient MCA of Bridged-T Circuit
Pulse Transformer-Frequency Response
Pusle Transformer-Transient Response
Spice Listing
Appendix
Derivation of the RSS Equation
Derivation of Factor for Uniform Distribution Inputs
Asymmetric Gaussian Distribution
Ratio Algorithms
Bandpass Filter Spice Comparison
MCA of BPF
Derivation of 400Hz FWR dc Equation
References
MATHCAD

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