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Coding and Detection for 2-dimensional Channels

Coding and Detection for 2-dimensional Channels PDF Author: İsmail Demirkan
Publisher:
ISBN:
Category :
Languages : en
Pages : 165

Book Description
Coding and detection techniques for one-dimensional (1-D) intersymbol interference (ISI) channels, particularly magnetic and optical recording channels, have been studied extensively for almost three decades. On the modulation coding side, the state-splitting algorithm has been developed to design efficient systematic modulation codes. On the detection side, Viterbi detector and decision-feedback equalization (DFE) have been well-understood. Two-dimensional (2-D) holographic data storage, has been developed to store the information page-wise instead of on 1-D tracks. This will signifficantly increase the storage density and read/write access of the information. However, most of the modulation coding and detection techniques for 1-D recording systems are unusable for 2-D holographic data storage. In this work, we present various methods for modelling and equalizing 2-D ISI channels. Some low complexity detectors, such as a threshold detector, have been proposed for certain 2-D ISI channels. One of the main problems of the holographic data storage is the misalignment between written and sampled data pages. This problem is addressed by using more detector pixels than data points, which is called oversampling. We also attempted to characterize the distance properties of certain 2-D ISI channels. An algorithm for finding error events is developed for any 2-D ISI channel. Unlike the 1-D constrained systems, the capacity of most 2-D constrained systems is not analytically known due to the lack of graph-based descriptions of such channels. This also complicates the design of efficient modulation codes. We propose algorithms for finding single-state and finite-state block codes for the hard-square constraint. The encoding and decoding of the modulation codes can be performed easily using codeword generating templates. We also propose an algorithm for finding single-state block codes for any 2-D constrained system represented by a set of forbidden patterns. For 1-D recording, we designed block codes satisfying the running digital sum (RDS) and time-varying maximum transition run (TMTR) constraints for perpendicular recording channels. The graphs of these constraints are combined to understand the design trade-off between the achievable coding rate and constraint parameters. The spectra of the combined constraints shows the properties of the constituent constraints. The modulations codes are designed by searching for all codewords satisfying certain constraint properties.

Coding and Detection for 2-dimensional Channels

Coding and Detection for 2-dimensional Channels PDF Author: İsmail Demirkan
Publisher:
ISBN:
Category :
Languages : en
Pages : 165

Book Description
Coding and detection techniques for one-dimensional (1-D) intersymbol interference (ISI) channels, particularly magnetic and optical recording channels, have been studied extensively for almost three decades. On the modulation coding side, the state-splitting algorithm has been developed to design efficient systematic modulation codes. On the detection side, Viterbi detector and decision-feedback equalization (DFE) have been well-understood. Two-dimensional (2-D) holographic data storage, has been developed to store the information page-wise instead of on 1-D tracks. This will signifficantly increase the storage density and read/write access of the information. However, most of the modulation coding and detection techniques for 1-D recording systems are unusable for 2-D holographic data storage. In this work, we present various methods for modelling and equalizing 2-D ISI channels. Some low complexity detectors, such as a threshold detector, have been proposed for certain 2-D ISI channels. One of the main problems of the holographic data storage is the misalignment between written and sampled data pages. This problem is addressed by using more detector pixels than data points, which is called oversampling. We also attempted to characterize the distance properties of certain 2-D ISI channels. An algorithm for finding error events is developed for any 2-D ISI channel. Unlike the 1-D constrained systems, the capacity of most 2-D constrained systems is not analytically known due to the lack of graph-based descriptions of such channels. This also complicates the design of efficient modulation codes. We propose algorithms for finding single-state and finite-state block codes for the hard-square constraint. The encoding and decoding of the modulation codes can be performed easily using codeword generating templates. We also propose an algorithm for finding single-state block codes for any 2-D constrained system represented by a set of forbidden patterns. For 1-D recording, we designed block codes satisfying the running digital sum (RDS) and time-varying maximum transition run (TMTR) constraints for perpendicular recording channels. The graphs of these constraints are combined to understand the design trade-off between the achievable coding rate and constraint parameters. The spectra of the combined constraints shows the properties of the constituent constraints. The modulations codes are designed by searching for all codewords satisfying certain constraint properties.

Detection and Modeling of 2-dimensional Signals

Detection and Modeling of 2-dimensional Signals PDF Author: Marcus Marrow
Publisher:
ISBN:
Category :
Languages : en
Pages : 356

Book Description


Coding and Iterative Detection for Magnetic Recording Channels

Coding and Iterative Detection for Magnetic Recording Channels PDF Author: Zining Wu
Publisher: Springer Science & Business Media
ISBN: 146154565X
Category : Technology & Engineering
Languages : en
Pages : 165

Book Description
The advent of the internet age has produced enormous demand for in creased storage capacity and for the consequent increases in the amount of information that can be stored in a small space. While physical and media improvements have driven the majority of improvement in modern storage systems, signal processing and coding methods have increasing ly been used to augment those improvements. Run-length-limited codes and partial-response detection methods have come to be the norm in an industry that once rejected any sophistication in the read or write pro cessing circuits. VLSI advances now enable increasingly sophisticated signal processing methods for negligible cost and complexity, a trend sure to continue even as disk access speeds progress to billions of bits per second and terabits per square inch in the new millennium of the in formation age. This new book representing the Ph. D. dissertation work of Stanford's recent graduate Dr. Zining Wu is an up-to-date and fo cused review of the area that should be of value to those just starting in this area and as well those with considerable expertise. The use of saturation recording, i. e. the mandated restriction of two-level inputs, creates interesting twists on the use of communica tion/transmission methods in recording.

Sequence Detection for High-Density Storage Channels

Sequence Detection for High-Density Storage Channels PDF Author: Jaekyun Moon
Publisher: Springer Science & Business Media
ISBN: 1461535646
Category : Technology & Engineering
Languages : en
Pages : 170

Book Description
Magnetic data storage can be viewed as a data communication system. This is not a sUlprising view, considering that data storage is essentially the transfer of data between different times. The past decade has indeed seen rapidly growing interest in applying improved coding and detection techniques to magnetic data storage, a traditional approach to enhance performance of communication channels. Since its inception in the 1930's, the magnetic recording industry has achieved impressive progress in data capacity. This has been made possible mainly by innovations and advances in heads and media design. However, as the demand for higher storage capacity continues in the modem information era, a need arises to explore other possibilities to help meet the ever-growing demand. Advanced coding and detection are one such possibility, providing an efficient, cost-effective means to increase data capacity. In fact, with the advent of modem Ie technology which has enabled real-time implementation of increasingly complex signal processing algorithms, advanced coding and detection are rapidly becoming a major issue in the development of improved data storage products. While there have been remarkable advances in recent years in the areas of both coding and detection for data storage, this book focuses only on data detection, or the processing of readback waveforms to reproduce stored data, in conjunction with the traditional modulation coding method called run length-limited or (d,k) coding.

 PDF Author:
Publisher: Arihant Publications India limited
ISBN: 9326194965
Category :
Languages : en
Pages : 1199

Book Description


Summaries of Papers Presented at the Optical Data Storage Topical Meeting

Summaries of Papers Presented at the Optical Data Storage Topical Meeting PDF Author:
Publisher:
ISBN:
Category : Computer storage devices
Languages : en
Pages : 484

Book Description


Joint Source Channel Coding Using Arithmetic Codes

Joint Source Channel Coding Using Arithmetic Codes PDF Author: Bi Dongsheng
Publisher: Springer Nature
ISBN: 3031016750
Category : Technology & Engineering
Languages : en
Pages : 69

Book Description
Based on the encoding process, arithmetic codes can be viewed as tree codes and current proposals for decoding arithmetic codes with forbidden symbols belong to sequential decoding algorithms and their variants. In this monograph, we propose a new way of looking at arithmetic codes with forbidden symbols. If a limit is imposed on the maximum value of a key parameter in the encoder, this modified arithmetic encoder can also be modeled as a finite state machine and the code generated can be treated as a variable-length trellis code. The number of states used can be reduced and techniques used for decoding convolutional codes, such as the list Viterbi decoding algorithm, can be applied directly on the trellis. The finite state machine interpretation can be easily migrated to Markov source case. We can encode Markov sources without considering the conditional probabilities, while using the list Viterbi decoding algorithm which utilizes the conditional probabilities. We can also use context-based arithmetic coding to exploit the conditional probabilities of the Markov source and apply a finite state machine interpretation to this problem. The finite state machine interpretation also allows us to more systematically understand arithmetic codes with forbidden symbols. It allows us to find the partial distance spectrum of arithmetic codes with forbidden symbols. We also propose arithmetic codes with memories which use high memory but low implementation precision arithmetic codes. The low implementation precision results in a state machine with less complexity. The introduced input memories allow us to switch the probability functions used for arithmetic coding. Combining these two methods give us a huge parameter space of the arithmetic codes with forbidden symbols. Hence we can choose codes with better distance properties while maintaining the encoding efficiency and decoding complexity. A construction and search method is proposed and simulation results show that we can achieve a similar performance as turbo codes when we apply this approach to rate 2/3 arithmetic codes. Table of Contents: Introduction / Arithmetic Codes / Arithmetic Codes with Forbidden Symbols / Distance Property and Code Construction / Conclusion

Coding and Iterative Detection for Magnetic Recording Channels

Coding and Iterative Detection for Magnetic Recording Channels PDF Author: Zining Wu
Publisher: Springer Science & Business Media
ISBN: 9780792377177
Category : Computers
Languages : en
Pages : 182

Book Description
The advent of the internet age has produced enormous demand for in creased storage capacity and for the consequent increases in the amount of information that can be stored in a small space. While physical and media improvements have driven the majority of improvement in modern storage systems, signal processing and coding methods have increasing ly been used to augment those improvements. Run-length-limited codes and partial-response detection methods have come to be the norm in an industry that once rejected any sophistication in the read or write pro cessing circuits. VLSI advances now enable increasingly sophisticated signal processing methods for negligible cost and complexity, a trend sure to continue even as disk access speeds progress to billions of bits per second and terabits per square inch in the new millennium of the in formation age. This new book representing the Ph. D. dissertation work of Stanford's recent graduate Dr. Zining Wu is an up-to-date and fo cused review of the area that should be of value to those just starting in this area and as well those with considerable expertise. The use of saturation recording, i. e. the mandated restriction of two-level inputs, creates interesting twists on the use of communica tion/transmission methods in recording.

Codes for Error Detection

Codes for Error Detection PDF Author: Torleiv Kl?ve
Publisher: World Scientific
ISBN: 9812705864
Category : Mathematics
Languages : en
Pages : 214

Book Description
There are two basic methods of error control for communication, both involving coding of the messages. With forward error correction, the codes are used to detect and correct errors. In a repeat request system, the codes are used to detect errors and, if there are errors, request a retransmission. Error detection is usually much simpler to implement than error correction and is widely used. However, it is given a very cursory treatment in almost all textbooks on coding theory. Only a few older books are devoted to error detecting codes. This book begins with a short introduction to the theory of block codes with emphasis on the parts important for error detection. The weight distribution is particularly important for this application and is treated in more detail than in most books on error correction. A detailed account of the known results on the probability of undetected error on the q-ary symmetric channel is also given.

Image Restoration

Image Restoration PDF Author: Aymeric Histace
Publisher: BoD – Books on Demand
ISBN: 9535103881
Category : Computers
Languages : en
Pages : 386

Book Description
This book represents a sample of recent contributions of researchers all around the world in the field of image restoration. The book consists of 15 chapters organized in three main sections (Theory, Applications, Interdisciplinarity). Topics cover some different aspects of the theory of image restoration, but this book is also an occasion to highlight some new topics of research related to the emergence of some original imaging devices. From this arise some real challenging problems related to image reconstruction/restoration that open the way to some new fundamental scientific questions closely related with the world we interact with.