FPGA Implementation of Reed-Solomon Code

FPGA Implementation of Reed-Solomon Code PDF Author: Shehzad Jalaluddin
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659589775
Category :
Languages : en
Pages : 364

Book Description
This project book claims the achievement of successfully implementation of RS encoder and decoder. First the transmitted message was received by the receiver without introducing errors; next step is to introduce the errors after that the position of error bits were identified and corrected using algorithms at the decoder side. The decoding is carried out by first calculating syndromes secondly determining error location polynomial and error magnitude polynomial, then finding error positions and calculating error values and correcting the message in its received pattern.

FPGA Implementation of Reed Solomon Codec for 40Gbps Forward Error Correction in Optical Networks

FPGA Implementation of Reed Solomon Codec for 40Gbps Forward Error Correction in Optical Networks PDF Author: Kenny Chung Chung Wai
Publisher:
ISBN:
Category : Decoders (Electronics)
Languages : en
Pages : 128

Book Description
"Reed-Solomon error correcting codes (RS codes) are widely used in communication and data storage systems to recover data from possible errors that occur during data transfer. A growing application of RS codes is Forward Error Correction (FEC) in the Optical Network (OTN G.709), which uses RS(255,239) to support the OTU-3 (43.018 Gbps) standard. There have been considerable efforts in the area of RS architecture for ASIC implementation. However, there appears to be little reported work on efficient RS codec (encoder and decoder) for Field Programmable Gate Arrays (FPGAs), which has increasing interests in industry. This thesis investigates the implementation and design methodology of the RS(255,239) codec on FPGAs. A portable VHDL codec is developed and synthesized for Xilinx's Virtex4 and Altera's StratixII. The FPGA architectures are analyzed and the required design methodologies are adopted to efficiently utilize the available resources. Unfortunately, due to the fixed size of FPGA devices, the RS decoder is not only constrained by the required timing of the system, but also by the size of the targeted device. This research will facilitate the decision-making process for selecting a reconfigurable device for a RS decoder, implementing the Berlekamp-Massey Algorithm"--Abstract.

FPGA Implementation of Iterative Soft-decision Decoder for the (127,119) Reed-Solomon Code

FPGA Implementation of Iterative Soft-decision Decoder for the (127,119) Reed-Solomon Code PDF Author: Sree Balaji Girisankar
Publisher:
ISBN: 9780355451276
Category :
Languages : en
Pages :

Book Description
Reed-Solomon (RS) codes are commonly used in the digital communication field due to their strong error correcting capabilities. In this thesis, a hardware architecture is proposed for the iterative soft-decision decoding of RS codes of prime lengths. The proposed GFT-RS-LDPC decoder is implemented on a Xilinx Virtex-7 FPGA for RS(127,119) code. The decoder has a moderate complexity and can be used for practical applications. The performance of the implemented GFT-RS-LDPC decoder was veried by comparing it with a fixed point and floating point model in MATLAB. Several optimizations to the architecture have been proposed to reduce the decoding latency and to increase the throughput upto 2.4 Gbps.

Implement Reed-Solomon Code Using FPGA Device

Implement Reed-Solomon Code Using FPGA Device PDF Author: Michelle Than
Publisher:
ISBN:
Category : Error-correcting codes (Information theory)
Languages : en
Pages : 124

Book Description


Modeling, Simulation, and Implementation of Reed-Solomon Encoder/decoder System

Modeling, Simulation, and Implementation of Reed-Solomon Encoder/decoder System PDF Author: Madona Najarian
Publisher:
ISBN:
Category :
Languages : en
Pages : 82

Book Description
The project carries detailed design and implementation of a (15,11) Reed Solomon code Encoder and Decoder in an FPGA. Galois field is briefly explained, and its use in the encoding and decoding algorithms is described. The Reed Solomon code encoding and decoding is then performed. The system is modeled and simulated using VHDL language. Simulation and its results are presented for all the modules of the encoder and decoder. Each symbol in this Reed Solomon (15,11) code system consists of 4 bits and has the capability of correcting up to 8 bit errors that they only effect a maximum of two individual symbols. The (15,11) Reed Solomon code Encoder and Decoder are synthesized and implemented using the ZedBoard Zynq Evaluation and Development kit. However, this design can be implemented using any proper size FPGA.

Hardware Implementation of Reed Solomon Error Correction Encoder/decoder

Hardware Implementation of Reed Solomon Error Correction Encoder/decoder PDF Author: Smritha Venkatadri
Publisher:
ISBN:
Category :
Languages : en
Pages : 220

Book Description
In this thesis work, the error correction scheme of Reed Solomon (RS), used in the form of an algorithm digital data communication application is considered. The hardware implementation of (15,9) Reed Solomon (RS) error correction in terms of encoder-decoder is developed. Also, RS encoding and RS decoding without erasing code symbols is emphasized. The work presents the simple concepts of groups and fields, specifically Galois Fields to explain the algorithm. Prior to presenting RS codes, other block codes are discussed as an introduction to coding. The (15,9) RS coding is then explained. Various methods and concepts of encoding and decoding are presented for the (15,9) RS coding. The hardware realization for the encoder and decoder is outlined including the detailed analytics, which form the basis for the layout. The hardware design is implemented using VHSIC Hardware Descriptive Language (VHDL) which facilitates the design process from the algorithmic form to the final chip level design. The ultimate objective of this thesis work is to provide an efficient hardware for sending message bits across the channel and also detecting and correcting multiple errors that occur during the transmission.

On the Implementation of Reed-Solomon Decoders

On the Implementation of Reed-Solomon Decoders PDF Author: Earl Thomas Cohen
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 512

Book Description


Design for Embedded Image Processing on FPGAs

Design for Embedded Image Processing on FPGAs PDF Author: Donald G. Bailey
Publisher: John Wiley & Sons
ISBN: 0470828528
Category : Technology & Engineering
Languages : en
Pages : 503

Book Description
Dr Donald Bailey starts with introductory material considering the problem of embedded image processing, and how some of the issues may be solved using parallel hardware solutions. Field programmable gate arrays (FPGAs) are introduced as a technology that provides flexible, fine-grained hardware that can readily exploit parallelism within many image processing algorithms. A brief review of FPGA programming languages provides the link between a software mindset normally associated with image processing algorithms, and the hardware mindset required for efficient utilization of a parallel hardware design. The design process for implementing an image processing algorithm on an FPGA is compared with that for a conventional software implementation, with the key differences highlighted. Particular attention is given to the techniques for mapping an algorithm onto an FPGA implementation, considering timing, memory bandwidth and resource constraints, and efficient hardware computational techniques. Extensive coverage is given of a range of low and intermediate level image processing operations, discussing efficient implementations and how these may vary according to the application. The techniques are illustrated with several example applications or case studies from projects or applications he has been involved with. Issues such as interfacing between the FPGA and peripheral devices are covered briefly, as is designing the system in such a way that it can be more readily debugged and tuned. Provides a bridge between algorithms and hardware Demonstrates how to avoid many of the potential pitfalls Offers practical recommendations and solutions Illustrates several real-world applications and case studies Allows those with software backgrounds to understand efficient hardware implementation Design for Embedded Image Processing on FPGAs is ideal for researchers and engineers in the vision or image processing industry, who are looking at smart sensors, machine vision, and robotic vision, as well as FPGA developers and application engineers. The book can also be used by graduate students studying imaging systems, computer engineering, digital design, circuit design, or computer science. It can also be used as supplementary text for courses in advanced digital design, algorithm and hardware implementation, and digital signal processing and applications. Companion website for the book: www.wiley.com/go/bailey/fpga

Transform Decoding of Reed-Solomon Codes. Volume II. Logical Design and Implementation

Transform Decoding of Reed-Solomon Codes. Volume II. Logical Design and Implementation PDF Author: B. L. Johnson
Publisher:
ISBN:
Category :
Languages : en
Pages : 149

Book Description
This report describes the logic design and hardware implementation of an encoder and decoder for a large number of Reed-Solomon symbol error-correction codes. The logic implements a transform encoding and decoding algorithm that was previously described in Volume One. The hardware required to implement the critical steps in the encoding and decoding algorithm is described in depth. An analysis of the decoder's operational characteristics and hardware complexity is presented. A proof-of-concept breadboard configured with small-scale Schottky TTL components is also described.

Field Programmable Logic and Applications

Field Programmable Logic and Applications PDF Author: Patrick Lysaght
Publisher: Springer
ISBN: 3540483020
Category : Computers
Languages : en
Pages : 560

Book Description
This book contains the papers presented at the 9th International Workshop on Field ProgrammableLogic and Applications (FPL’99), hosted by the University of Strathclyde in Glasgow, Scotland, August 30 – September 1, 1999. FPL’99 is the ninth in the series of annual FPL workshops. The FPL’99 programme committee has been fortunate to have received a large number of high-quality papers addressing a wide range of topics. From these, 33 papers have been selected for presentation at the workshop and a further 32 papers have been accepted for the poster sessions. A total of 65 papers from 20 countries are included in this volume. FPL is a subject area that attracts researchers from both electronic engine- ing and computer science. Whether we are engaged in research into soft ha- ware or hard software seems to be primarily a question of perspective. What is unquestionable is that the interaction of groups of researchers from di?erent backgrounds results in stimulating and productive research. As we prepare for the new millennium, the premier European forum for - searchers in ?eld programmable logic remains the FPL workshop. Next year the FPL series of workshopswill celebrate its tenth anniversary.The contribution of so many overseas researchers has been a particularly attractive feature of these events, giving them a truly international perspective, while the informal and convivial atmosphere that pervades the workshops have been their hallmark. We look forward to preserving these features in the future while continuing to expand the size and quality of the events.