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
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