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Introduction to Error Control Codes $142.55 This textbook provides a firm foundation for those studying the field of error control codes. giving stepbystep instruction on this complex topic beginning with single parity code checks and repetition codes. Through these basic errorcontrol mechanisms the fundamental principles of error detection and correction, minimum distance and errorcontrol limits are considered. With the use of detailed examples it guides students from basic errorcontrol codes through linear codes, cyclic codes, linear feedback shift registers, vector fields, Galois fields, BCH codes and convolutional codes. There are many detailed examples throughout the book to illustrate the principles and complex mathematical proofs are omitted where possible to keep the text concise and easytofollow. Author: Gravano, Salvatore Series Title: Textbooks in Electrical and Electronic Engineering Series Number: 9 Binding Type: Paperback Number of Pages: 280 Publication Date: 2001/08/02 Language: English Dimensions: 9.40 x 6.58 x 0.61 inches

Codes for Error Control and Synchronization $186.73 Author: Wiggert, Djimitri Series Title: Artech House Communication Electronic Defense Library Binding Type: Hardcover Number of Pages: 216 Publication Date: 1998/08/01 Language: English Dimensions: 9.32 x 6.38 x 0.73 inches

Error Correction Codes for NonVolatile Memories $253.31 Nowadays it is hard to find an electronic device which does not use codes: for example, we listen to music via heavily encoded audio CDs and we watch movies via encoded DVDs. There is at least one area where the use of encoding/decoding is not so developed, yet: Flash nonvolatile memories. Flash memory highdensity, low power, cost effectiveness, and scalable design make it an ideal choice to fuel the explosion of multimedia products, like USB keys, MP3 players, digital cameras and solidstate disk.In ECC for NonVolatile Memories the authors expose the basics of coding theory needed to understand the application to memories, as well as the relevant design topics, with reference to both NOR and NAND Flash architectures. A collection of software routines is also included for better understanding.The authors form a research group (now at Qimonda) which is the typical example of a fruitful collaboration between mathematicians and engineers. Author: Micheloni, R./ Marelli, A./ Ravasio, R. Binding Type: Hardcover Number of Pages: 340 Publication Date: 2008/06/09 Language: English Dimensions: 6.14 x 9.21 x 0.81 inches

Error Floor $74.88 High Quality Content by WIKIPEDIA articles The error floor is a phenomenon encountered in modern iterated sparse graphbased error correcting codes like LDPC codes and turbo codes. When the bit error ratio (BER) curve is plotted for conventional codes like Reed Solomon codes under algebraic decoding or for convolutional codes under Viterbi decoding, the curve steadily decreases as the SNR condition becomes better. For LDPC codes and turbo codes there is a point after which the curve does not fall as quickly as before, in other words, there is a region in which performance flattens. This region is called the error floor region. The region just before the sudden drop in performance is called the waterfall region. Author: Surhone, Lambert M./ Tennoe, Mariam T./ Henssonow, Susan F. Binding Type: Paperback Number of Pages: 100 Publication Date: 2010/10/03 Language: English Dimensions: 6.00 x 9.02 x 0.24 inches

C2 Error $71.7 High Quality Content by WIKIPEDIA articles A C2 error is a read error of a compact disc. C2 errors can be to a degree recovered by the hardware error detection and correction scheme. A CD drive can have extraction errors when the data on the disc is not readable due to scratches or smudges. The drive can compensate by supplying a best guess of what the missing data was, then supplying the missing data. C2 error correction is an analysis over many interleaved frames, an improvement over C1 error correction, which analyzed just one frame, resulting in more accurate data correction. C2 error correction codes are also used by the Digital Audio Tape (DAT) format. Author: Surhone, Lambert M./ Tennoe, Mariam T./ Henssonow, Susan F. Binding Type: Paperback Number of Pages: 92 Publication Date: 2010/12/04 Language: English Dimensions: 6.00 x 9.02 x 0.22 inches

InformationOutage Analysis of FiniteLength Codes. $115.71 The performance of random error control codes approaches the Shannon capacity limit as the code length goes to infinity. When the code length is finite, then the code will be unable to achieve arbitrarily low error probability and a nonzero codeword error rate is inevitable. Informationtheoretic bounds on codeword error rate may be found as a function of length through traditional methods such as sphere packing. Alternatively, the behavior of finitelength codes can be characterized in terms of an informationoutage probability. The informationoutage probability is the probability that the mutualinformation rate, which is a random variable, is less than the code rate. In this thesis, a Gaussian approximation is proposed that accurately models the informationoutage probability for codewords of moderately short length. The informationoutage probability is related to several previously derived bounds, including Shannons spherepacking and random coding bounds, as well as a bound on maximal error probability known as Feinsteins lemma. It is shown that the informationoutage probability is a useful predictor of achievable error rate. Author: Buckingham, David Scott Binding Type: Paperback Number of Pages: 78 Publication Date: 2011/09/02 Language: English Dimensions: 9.69 x 7.44 x 0.16 inches

Performance Evaluation of Turbo Codes $138.61 Turbo codes, introduced in 1993 are error correcting codes, and are only recently being employed in some of the communication protocols. In this book, the results of the simulation studies of their performance dependence on medium have been reported. The studies have been made for the communication channels twisted pair, coaxial cable, microwaves optical fibers and the results obtained from a study on performance evaluation of medium dependence of Turbo Codes have been presented. Communication through Twisted pair, Coaxial cable, Microwaves Optical fibers have been simulated by modeling the channel and the performance of Turbo Codes have been studied with varying S/N ratio as applicable in practical situations. Author: Verma, Dr Seema Binding Type: Paperback Number of Pages: 144 Publication Date: 2011/05/03 Language: English Dimensions: 9.02 x 5.98 x 0.34 inches

Codes and Algebraic Curves $352.17 A fascinating branch of mathematics since antiquity, the geometry of curves has been extensively developed and become highly abstract. Recently links have been made with the subject of error correction, leading to the creation of geometric Goppa codes, a new and important area of coding theory. This book is an expanded and updated version of one part of the authors successful book ErrorCorrecting Codes and Finite Fields. Here he gives an elementary introduction to Goppa codes and includes many examples, calculations, and applications. The first part of the book emphasizes motivations, giving precedence to applications over proofs. The second part then provides the formal theory, with some concepts and proofs simplified without sacrificing rigor. Author: Pretzel, Oliver Series Title: Oxford Lecture Series in Mathematics and Its Applications Series Number: 8 Binding Type: Hardcover Number of Pages: 208 Publication Date: 1998/03/05 Language: English Dimensions: 9.52 x 6.46 x 0.67 inches

Introduction to Convolutional Codes with Applications $237.38 Introduction to Convolutional Codes with Applications is an introduction to the basic concepts of convolutional codes, their structure and classification, various error correction and decoding techniques for convolutionally encoded data, and some of the most common applications. The definition and representations, distance properties, and important classes of convolutional codes are also discussed in detail. The book provides the first comprehensive description of tabledriven correction and decoding of convolutionally encoded data. Complete examples of Viterbi, sequential, and majoritylogic decoding technique are also included, allowing a quick comparison among the different decoding approaches. Introduction to Convolutional Codes with Applications summarizes the research of the last two decades on applications of convolutional codes in hybrid ARQ protocols. A new classification allows a natural way of studying the underlying concepts of hybrid schemes and accommodates all of the new research. A novel application of fast decodable invertible convolutional codes for lost packet recovery in high speed networks is described. This opens the door for using convolutional coding for error recovery in high speed networks. Practicing communications, electronics, and networking engineers who want to get a better grasp of the underlying concepts of convolutional coding and its applications will greatly benefit by the simple and concise style of explanation. An uptodate bibliography of over 300 papers is included. Also suitable for use as a textbook or a reference text in an advanced course on coding theory with emphasis on convolutional codes. Author: Dholakia, Ajay/ Olson, David L. Series Title: VLSI, Computer Architecture and Digital Signal Processing Binding Type: Hardcover Number of Pages: 264 Publication Date: 1994/06/30 Language: English Dimensions: 6.14 x 9.21 x 0.63 inches

ErrorCorrecting Codes with Feedback $68.51 High Quality Content by WIKIPEDIA articles In mathematics, computer science, telecommunication, information theory, and searching theory, errorcorrecting codes with feedback refers to error correcting codes designed to work in the presence of feedback from the receiver to the sender. The main scenario imagined is the following. Suppose that Alice wishes to send a value x to Bob, but the communication channel between Alice and Bob is imperfect, and can introduce errors. An errorcorrecting code is a way of encoding x as a message where Bob will successfully understand the value x even if the message Alice sends and the message Bob receives are not exactly the same. In an errorcorrecting code with feedback, the channel is twoway, where Bob can send feedback to Alice about the message he received. Author: Surhone, Lambert M./ Tennoe, Mariam T./ Henssonow, Susan F. Binding Type: Paperback Number of Pages: 92 Publication Date: 2010/09/10 Language: English Dimensions: 6.00 x 9.02 x 0.22 inches

M of N Codes $68.51 High Quality Content by WIKIPEDIA articles An m of n code is a separable error detection code with a code word length of n bits, where each code word contains exactly m instances of a one. A single bit error will cause the code word to have either m + 1 or m 1 ones. An example mofn code is the 2 of 5 code used by the United States Postal Service. The simplest implementation is to append a string of ones to the original data until it contains m ones, then append zeros to create a code of length n. In information theory and coding theory with applications in computer science and telecommunication, error detection and correction or error control are techniques that enable reliable delivery of digital data over unreliable communication channels. Many communication channels are subject to channel noise, and thus errors may be introduced during transmission from the source to a receiver. Error detection techniques allow detecting such errors, while error correction enables reconstruction of the original data. Author: Surhone, Lambert M./ Tennoe, Mariam T./ Henssonow, Susan F. Binding Type: Paperback Number of Pages: 88 Publication Date: 2010/09/10 Language: English Dimensions: 6.00 x 9.02 x 0.21 inches

ReedSolomon Error Correction $68.51 High Quality Content by WIKIPEDIA articles In coding theory, ReedSolomon (RS) codes are nonbinary cyclic errorcorrecting codes invented by Irving S. Reed and Gustave Solomon. They described a systematic way of building codes that could detect and correct multiple random symbol errors. ReedSolomon codes have since found important applications from deepspace communication to consumer electronics. They are prominently used in consumer electronics such as CDs, DVDs, Bluray Discs, in data transmission technologies such as DSL WiMAX, in broadcast systems such as DVB and ATSC, and in computer applications such as RAID 6 systems. Author: Surhone, Lambert M./ Tennoe, Mariam T./ Henssonow, Susan F. Binding Type: Paperback Number of Pages: 88 Publication Date: 2010/09/09 Language: English Dimensions: 6.00 x 9.02 x 0.21 inches

Viterbi Decoding of Ternary Line Codes $134.33 The Viterbi Algorithm was originally developed in the 1960s to decode linear error correcting convolutional codes. Its advantages include ease of implementation and using soft decisions to obtain an additional and significant coding gain. Viterbi decoding has found widespread application from space and satellite communications, down to dial up telephone modems and elsewhere, provided that a finite state machine description can be set up. Ternary line codes are used in baseband digital communication systems, notably metallic cable systems. What does the finite state machine description of these widely used nonlinear line codes look like? Can Viterbi decoding be applied to ternary line codes? What gains can be expected with soft decision Viterbi decoding? What advantage can be obtained using more bits for finer soft decision quantization? How do these gains compare to the well known 2 dB gain obtained through 3 bit quantization with linear codes? It is shown that the results obtained differ from the standard 3 bit quantization and 2 dB gain scenario. This study may lead to further new applications of Viterbi decoding with soft decisions. Author: Ouahada, Khmaies Binding Type: Paperback Number of Pages: 184 Publication Date: 2008/04/01 Language: English Dimensions: 9.61 x 6.69 x 0.39 inches

Ldpc Codes Construction and Performance Evaluation $113.11 Low Density Parity Check (LDPC) codes are one of the block coding techniques that can approach the Shannons limit within a fraction of a decibel for high block lengths. In many digital communication systems these codes have strong competitors of turbo codes for error control. LDPC codes performance depends on the excellent design of parity check matrix and many diverse research methods have been used by different study groups to evaluate the performance.Finite fields construction method is used and diverse techniques like masking, dispersion and array dispersion for the construction of parity check matrix H. These constructed codes are then simulated to make the performance evaluation. Simulation was done for different rates using additive white Gaussian noise (AWGN) channel. In MATLAB a library of different functions was created to perform the task for base matrix construction, dispersion, masking, generator matrix construction etc. Author: Noor, Sohail/ Ullah, Ihsan Binding Type: Paperback Number of Pages: 64 Publication Date: 2011/06/01 Language: English Dimensions: 9.02 x 5.98 x 0.15 inches

Ethical Codes and Income Distribution $71.6 In contemporary nonmainstream economic debate, it is widely thought that the functioning of a market economy needs a set of rules (i.e. institutions) which bind agents in their behaviour, allowing efficient outcomes. This idea is contrary to the General Equilibrium Model (GEM) where markets are pictured as working in an institutional vacuum and where social and historical variables play no role. However, in more recent times, a large group of economists have begun to insert social and moral variables into standard models based on the rational choice paradigm, following the increasing interest on the part of firms in the possible positive effects of adopting ethical codes. In this key new text Guglielmo Davanzati studies this burgeoning view that ethics and economics can be compatible. Does morality affect income distribution? And, if so, what are the effects of the widespread adoption of ethical codes on the functioning of the labour market? Central to Davanzatis efforts is the thesis that the roots of these new developments can be traced back to the pioneering work of Thorstein Veblen and John Bates Clark. Utilizing their contrasting works, Davanzatis text illuminates the propagation of ethical codes within the two opposing frameworks i.e. the neoclassical and the institutional. Davanzatis important book will be an invaluable reference for readers interested in history of economic thought, economics and moral philosophy. Author: Davanzati Guglielmo, Forges/ Davanzati, Guglielmo Forge Binding Type: Paperback Number of Pages: 164 Publication Date: 2009/02/18 Language: English Dimensions: 5.98 x 9.01 x 0.37 inches

Haynes Techbook Automotive Computer Codes $17.95 Haynes Techbook Automotive Computer Codes & Electronic Engine Management Systems This book makes computer controlled car repair easy. Includes simple do-it-yourself diagnosis so you spend less time banging your head against the wall and more time fixing the problem. Easy access to on-board computer trouble codes and complete, easy to use code charts for all models. Great for both the hobbyist and repair shops. Features over 350 photos and drawings.

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