• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2009.05a
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• pp.907-910
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• 2009

This paper is the FPGA Implementation of Reed-Solomon Encoder that is one of Error control Codes. Reed-Solomon codes are block-based error control codes with a wide range of applications in digital communications. RS codes are strong on burst errors because it process signals as symbol. We simulate this system using Matlab from Mathworks and design it using System Generator from Xilinx. We refer Matlab source in Implementation of Reed-Solomon Error Control Coding for Compressed Images by Simon Anthony Raspa.

• Journal of Digital Contents Society
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• v.5 no.4
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• pp.316-320
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• 2004

In this paper, we propose OFDM/QPSK technique for copyright protection of image data to insert watermark. And, we improve performance of restoration watermark by Reed-Solomon coding that robust burst error. In here, we consider several factors about external effect of image over OFDM/QPSK transmission system.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.25 no.5B
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• pp.966-973
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• 2000

In this paper, we propose a novel RS decoder design yielding smallr circuit size shorter coding latency. The proposed architecture of RS decoder has the following two features. First, circuit size reduced by using Euclid algorithm with mutual operation between cells. Second, coding latency is reduced by using higher frequency than syndrome and error value calculation block. We performed simulation with C language and MATLAB in order to verify the decoding algorithm and implemented using FPGA chips in VHDL.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.42 no.7 s.337
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• pp.27-36
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• 2005

This paper presents an area-efficient architecture to implement the high-speed Reed-Solomon(RS) decoder, which is used in a variety of communication systems such as wireless and very high-speed optical communications. We present the new pipelined-recursive Modified Euclidean(PrME) architecture to achieve high-throughput rate and reducing hardware-complexity using folding technique. The proposed pipelined recursive architecture can reduce the hardware complexity about 80$\%$ compared to the conventional systolic-array and fully-parallel architecture. The proposed RS decoder has been designed and implemented with the 0.13um CMOS technology in a supply voltage of 1.2 V. The result show that total number of gate is 393 K and it has a data processing rate of S Gbits/s at clock frequency of 625 MHz. The proposed area-efficient architecture can be readily applied to the next generation FEC devices for high-speed optical communications as well as wireless communications.

• Journal of Communications and Networks
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• v.5 no.3
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• pp.187-196
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• 2003

We consider the use of error control coding in direct sequence-code-division multiple access (OS-COMA) systems that employ multiuser detection (MUO) and space diversity. The relative performance gain between Reed-Solomon (RS) code and convolutional code (CC) is well known in [1] for the single user, additive white Gaussian noise (AWGN) channel. In this case, RS codes outperform CC's at high signal-to-noise ratios. We find that this is not the case for the multiuser interference channel mentioned above. For useful error rates, we find that soft-decision CC's to be uniformly better than RS codes when used with DS-COMA modulation in multiuser space-time channels. In our development, we use the Gaussian approximation on the interference to determine performance error bounds for systems with low number of users. Then, we check their accuracy in error rate estimation via system's simulation. These performance bounds will in turn allow us to consider a large number of users where we can estimate the gain in user-capacity due to channel coding. Lastly, the use of turbo codes is considered where it is shown that they offer a coding gain of 2.5 dB relative to soft-decision CC.

• Information and Communications Magazine
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• v.12 no.6
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• pp.88-100
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• 1995

본 고에서는 디지털 위성방송 시스템의 구성요소중 channel부의 구조 및 기능분석을 국내 디지털 DBS를 기준으로 설명하였다. channel부는 channel coding과 modulation 기능을 수행한다. Channel coding은 Reed Solomon code, interleaving, convolutional code를 연집하여 사용하고, modulation은 QPSK와 raised cosine pulse shaping을 한다. 수신기의 channel부는 antenna, LNB, tuner, QPSK 복조기, Viterbi, deinterleaver, RS decoder로 구성되어있다.

• Journal of Navigation and Port Research
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• v.28 no.1
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• pp.23-29
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• 2004

This paper deals with Reed-Solomon Coding for EUROFIX system EUROFIX is an integrated navigation and communication system, which combines Differential GNSS and Loran-C EUROFIX transmits DGNSS(Differential Global Navigation Satellite Systems) (data by pulse position modulation of Loran-C pulses. Loran-C system is regarded as a satellite backup system in recent. And now, it is important to detect and correct much errors in communication systems. Error corrections or correction algorithm is actively studied nowadays because of this. In this paper, we study and design encoder and decoder of Reed Solomon Code using Finite Galois Field Fourier Transformation for error corrections in EUROFIX data transmission. Through extensive simulation, the designed Reed Solomon code is shown to be effective for error correction in EUROFIX data transmission.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.24 no.9B
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• pp.1616-1623
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• 1999

This paper describes error resilient coding scheme is added in WLL system and its application for robust low-bit rate still image transmission over power controlled W-CDA system Rayleigh fading channels. The baseline JPEG compressing methods are uses in image coding over wireless channel. The channel uses Reed-Solomon(RS) outer codes concatenated with convolutional inner codes, and truncated type I hybrid ARQ protocol based on the selective repeat strategy and the RS error detection capability. Simulation results are proved for the statistics of the frame-error bursts of the proposed system in comparison with conventional WLL system. it gains the 2 dB of the Eb/No in same BER.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2010.05a
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• pp.882-885
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• 2010

In view of the severe energy constraint in sensor networks, it is important to use the error control scheme of the energy efficiently. In this paper, we presented FEC (Forward Error Correcting) codes in terms of their power consumption. One method of FEC is RS (Reed-Solomon) coding, which uses block codes. RS codes work by adding extra redundancy to the data. The encoded data can be stored or transmitted. It could have errors introduced, when the encoded data is recovered. The added redundancy allows a decoder to detect which parts of the received data is corrupted, and corrects them. The number of errors which are able to be corrected by RS code can determine by added redundancy. We could predict the lifetime of RS codes which transmitted at 32 byte a 1 minutes. RS(15, 13), RS(31, 27), RS(63, 57), RS(127,115), and RS(255,239) can keep the days of 138, 132, 126, 111, and 103 respectively.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.22 no.7
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• pp.1419-1426
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• 1997

A new SCEE(Syndrome Check Error Estimation) decoding method for convolutional code and concatenated SCEE/RS (Reed-Solomon) conding scheme are proposed. First, we describe the operation of the decoding steps in the proposed algorithm. Then deterministic values on the decoding operation are drived when some combination of predecoder-reencoder is used. Computer simulation results show that the compuatational complexity of the proposed SCEE decoder is significantly reduced compared to that of conventional Viterbi-decoder without degratation of the $P_{e}$ performance. Also, the concatenated SCEE/RS decoder has almost the same complexity of a RS decoder and its coding gain is higher than that of soft decision Viterbi or RS decoder respectively.