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E-raamat: Advanced Error Control Techniques for Data Storage Systems

Edited by (University of Arizona, Tucson, USA), Edited by (Seagate Technology, Pittsburgh, Pennsylvania, USA)
  • Formaat: 288 pages
  • Ilmumisaeg: 03-Oct-2018
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781420036497
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  • Formaat: 288 pages
  • Ilmumisaeg: 03-Oct-2018
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781420036497
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With the massive amount of data produced and stored each year, reliable storage and retrieval of information is more crucial than ever. Robust coding and decoding techniques are critical for correcting errors and maintaining data integrity. Comprising chapters thoughtfully selected from the highly popular Coding and Signal Processing for Magnetic Recording Systems, Advanced Error Control Techniques for Data Storage Systems is a finely focused reference to the state-of-the-art error control and modulation techniques used in storage devices.

The book begins with an introduction to error control codes, explaining the theory and basic concepts underlying the codes. Building on these concepts, the discussion turns to modulation codes, paying special attention to run-length limited sequences, followed by maximum transition run (MTR) and spectrum shaping codes. It examines the relationship between constrained codes and error control and correction systems from both code-design and architectural perspectives as well as techniques based on convolution codes. With a focus on increasing data density, the book also explores multi-track systems, soft decision decoding, and iteratively decodable codes such as Low-Density Parity-Check (LDPC) Codes, Turbo codes, and Turbo Product Codes.

Advanced Error Control Techniques for Data Storage Systems offers a comprehensive collection of theory and techniques that is ideal for specialists working in the field of data storage systems.
An Introduction to Error-Correcting Codes
1(1)
Mario Blaum
Introduction
1(2)
Linear Codes
3(3)
Syndrome Decoding, Hamming Codes, and Capacity of the Channel
6(2)
Codes over Bytes and Finite Fields
8(2)
Cyclic Codes
10(1)
Reed Solomon Codes
11(2)
Decoding of RS Codes: The Key Equation
13(3)
Decoding RS Codes with Euclid's Algorithm
16(2)
Applications: Burst and Random Error Correction
18
Modulation Codes for Storage Systems
1(1)
Brian Marcus
Emina Soljanin
Introduction
1(1)
Constrained Systems and Codes
2(2)
Constraints for ISI Channels
4(2)
Requirements
Definitions
Channels with Colored Noise and Intertrack Interference
6(1)
An Example
7(2)
Future Directions
9
Soft-Output Decoding of Modulation Codes
Reversed Concatenation
Runlength Limited Sequences
1(1)
Kees A. Schouhamer Immink
Introduction
1(1)
Asymptotic Information Rate
2(2)
Counting of Sequences
Capacity
Other Constraints
4(2)
MTR Constraints
(O, G/I) Sequences
Weakly Constrained Sequences
Two-Dimensional RLL Constraints
Codes for the Noiseless Channel
6
Maximum Transition Run Coding
1(1)
Barrett J. Brickner
Introduction
1(1)
Error Event Characterization
2(2)
Maximum Transition Run Codes
4(6)
Detector Design for MTR Constraints
10(1)
Simulation Results
11(1)
Summary
12
Spectrum Shaping Codes
1(1)
Stojan Denic
Bane Vasic
Introduction
1(1)
Recording System and Spectrum Shaping Codes
2(1)
Dc-free Codes
2(7)
Introduction
Dc-free Constraint Sequences
Capacity of Dc-free Constraint
Spectral Characteristics of Dc-free Constraint
Encoding and Decoding of Dc-free Constraints
Codes with Higher Order Spectral Zeros
9(6)
Introduction
Sequences with Higher Order Zeros at f = 0
K-RDSf Sequences
K -RDSf Sequences on Partial Response Channels
Composite Constrained and Combined Encoding
15(3)
Conclusion
18
Introduction to Constrained Binary Codes with Error Correction Capability
1(1)
Hendrik C. Ferreira
Willem A. Clarke
Introduction
1(1)
Bounds
2(2)
Example: A Trellis Code Construction
4(3)
An Overview of Some Other Code Constructions
7(4)
Channel Models and Error Types
Input Constraints
Block and Trellis Code Constructions
Combined Codes Directly Derived from Linear Error Correcting Codes
Constrained Codes Carefully Matched to Error Correcting Codes
Constructions Employing Ideas from Contemporary Developments in Coding Techniques
Restrictions on the (d, k) Sequence
Multilevel Constructions
Constructions Using the Lee or Levenshtein Metrics
Spectral Shaping Constraints and Error Correction
Maximum Likelihood Decoding of Standard Constrained Codes
Post Combined Coding System Architectures
11(1)
Conclusion
12
Constrained Coding and Error-Control Coding
1(1)
John L. Fan
Introduction
1(1)
Configurations
2(6)
Definitions
Standard Concatenation
Reverse Concatenation
Bit Insertion
Lossless Compression
Reverse Concatenation and Soft Iterative Decoding
8
Convolutional Codes for Partial-Response Channels
1(1)
Bartolomeu F. Uchoa-Filho
Mark A. Herro
Miroslav Despotovic
Vojin Senk
Introduction
1(1)
Encoding System Description and Preliminaries
2(2)
Trellis Codes for Partial-Response Channels Based Upon the Hamming Metric
4(3)
Trellis-Matched Codes for Partial-Response Channels
7(3)
Run-Length Limited Trellis-Matched Codes
10(3)
Cosets of Convolutional Codes
Avoiding Flawed Codewords
13(2)
The Distance Spectrum Criterion for Trellis Codes
15(1)
Good Trellis-Matched Codes for the Partial-Response Channels Based on the Distance Spectrum Criterion
15
Capacity-Approaching Codes for Partial Response Channels
1(1)
Nedeljko Varnica
Xiao Ma
Aleksandar Kavci 'c
Introduction
1(1)
The Channel Model and Capacity Definitions
2(4)
The Channel Model
The Channel Capacity
Trellis Representations
The Markov Channel Capacity
Computing the Markov Channel Capacity
Trellis Codes, Superchannels and Their Information Rates
6(3)
Coding Theorems for Superchannels
Matched Information Rate (MIR) Trellis Codes
9(4)
Choosing the Extended Channel Trellis and the Superchannel Code Rate
Choosing the Number of States in the Superchannel Choosing the Branch Type Numbers in the Superchannel
Choosing the Branch Connections
Outer LDPC Codes
13(3)
Encoding/Decoding System
Choosing the Branch Input-Bit Assignment
Determining the Outer Subcode Rates
Subcode Optimization
Optimization Results
16(3)
Dicode Channel
A Channel without Spectral Nulls
Conclusion
19
Coding and Detection for Multitrack Systems
1(1)
Bane Vasic
Olgica Milenkovic
Introduction
1(1)
The Current State of Research in Multitrack Codes
2(1)
Multitrack Channel Model
2(1)
Multitrack Constrained Codes
3(2)
ITI Reducing Codes for PR Channels
Constrained Coding for Improved Synchronization
Low-Complexity Encoder and Decoder Implementations
Multitrack Soft Error-Event Correcting Scheme
5
Turbo Codes
1(1)
Mustafa N. Kaynak
Tolga M. Duman
Erozan M. Kurtas
Principles of Turbo Coding
2(4)
Parallel Concatenated Convolutional Codes
Other Concatenation Schemes
Other Iteratively Decodable Codes
Iterative Decoding of Turbo Codes
6(3)
Maximum A-Posteriori (MAP) Decoder
The Iterative Decoder Structure
Iterative Decoding of Serially Concatenated Convolutional Codes
Other Iterative Decoding Algorithms
Performance of Turbo Codes over AWGN Channels
9(2)
Recording Channels
11(1)
Partial Response Channels
Realistic Recording Channel Models
Turbo Codes for Recording Channels
12(3)
Turbo Coding without Turbo Equalization
Turbo Coding with Turbo Equalization
Convolutional Coding with an Interleaver
Performance of Turbo Codes over Recording Channels
15(3)
Over PR Channels
Over Lorentzian Channels
Summary
18
Introduction
1(1)
Representations of LPDC Codes
2(2)
Matrix Representation
Graphical Representation
LDPC Code Design Approaches
4(3)
Gallager Codes
MacKay Codes
Irregular LDPC Codes
Finite Geometry Codes
RA, IRA, and eIRA Codes
Array Codes
Combinatorial LDPC Codes
Iterative Decoding Algorithms
7(10)
Overview
Probability-Domain SPA Decoder
Log-Domain SPA Decoder
Reduced Complexity Decoders
Concluding Remarks
17
Concatenated Single-Parity Check Codes for High-Density Digital Recording Systems
1(1)
Jing Li
Krishna R. Narayanan
Erozan M. Kurtas
Travis R. Oenning
Introduction
1(2)
System Model
3(2)
System Model
Concatenated SPC Codes
Iterative Decoding and Equalization
Analysis of Distance Spectrum
5(4)
Distance Properties of TPC/SPC Coded PR Systems
Distance Properties of Turbo/SPC Coded PR Systems
Thresholds Analysis using Density Evolution
9(4)
Introduction to Density Evolution and Gaussian Approximation
Problem Formulation
Message Flow Within the Inner MAP Decoder
Message Flow Within the Outer Code
Thresholds
Simulation Results
13(3)
Conclusion
16
Structured Low-Density Parity-Check Codes
1(1)
Bane Vasic
Erozan M. Kurtas
Alexander Kuznetsov
Olgica Milenkovic
Introduction
1(3)
Combinatorial Designs and their Bipartite Graphs
4(1)
LDPC Codes on Difference Families
5(2)
Codes on Projective Planes
7(3)
Lattice Construction of LDPC Codes
10(2)
Codes on a Rectangular Subset of an Integer Lattice
Application in the Partial Response (PR) Channels
12(4)
Channel Model and Signal Generation
Bit Error Rate (BER) of the Structured LDPC Codes Simulation Results
Conclusion
16
Turbo Coding for Multitrack Recording Channels
1(14)
Zheng Zhang
Tolga M. Duman
Erozan M. Kurtas
Introduction
2(1)
Multitrack Recording Channels
3(2)
Information Theoretical Limits: Achievable Information Rates
5(1)
Turbo Coding for Multitrack Recording Systems
6(9)
Turbo Codes and Iterative Decoding Algorithm
Turbo Coding and Turbo Equalization for ISI Channels
MAP Detector and Iterative Decoding for Multitrack Systems
Examples
Discussion
15
Index


Erozan M. Kurtas, Bane Vasic