Reliability Modeling and General Redundancy Techniques

7/13/98


Click here to start


Table of Contents

Reliability Modeling and General Redundancy Techniques

Basic definitions -- 1

Basic definitions -- 2

Bathtub Curve (hazard function)

Typical Failure Rate Values

Basic definitions -- 3

Basic definitions -- 4

Markov reliability models

Basic definitions -- 5

Series systems

Parallel systems

Redundancy Techniques

N Modular Redundancy

Triple modular redundancy -- 1

Triple modular redundancy -- 2

Cascaded TMR

Cascaded TMR reliability models

Standby redundancy

Duplexing

Pair and a spare

Sparing reliability models

Hybrid modular redundancy

Hybrid redundancy models

Reliability comparisons -- a

Reliability comparisons -- b

Reliability as a function of time

Parallel versus standby models

Effect of coverage

Coding -- basic definitions

Codespace

Error detection/correction codes

Minimum distance for error detection

Simple parity codes

Some error-detection codes

Some m-out-of-n error detection codes

Parity trees

Multiple parity schemes -- 1

Multiple parity schemes -- 2

Checksums

Parity-check Codes

Parity-check codes

Generator matrix

Parity check matrix

An example generator matrix

An example parity check matrix

Coding and decoding

A parity-check code example

Syndrome table for the (7,4) code

Check-bit generator circuit

Syndrome generator circuit

Syndrome decoder circuit

Error corrector circuit

(15,11) Hamming code parity-check matrix

(8,4) modified Hamming code parity-check matrix

(8,4) shortened Hamming code parity-check matrix

Some odd-weight-column codes

A (22,16) odd-weight-column code

A (39,32) odd-weight-column code

Linear feedback shift register

Some cyclic codes

Some cyclic encoding examples

Author: Bill D. Carroll