• Journal of the Korea Institute of Information and Communication Engineering
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• v.8 no.1
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• pp.170-178
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• 2004

In this work a high speed 8-error correcting Reed-Solomon decoder is designed using the modified Euclid algorithm. Decoding algorithm of Reed-Solomon codes consists of four steps, those are, compute syndromes, find error-location polynomials, decide error-locations, and determine error values. The decoding speed is increased and the latency is reduced by using the parallel architecture in the syndrome generator and a faster clock speed in the modified Euclid algorithm block. In addition. the error locator polynomial in Chien search block is separated into even and odd terms to increase the overall speed of the decoder. All the functionalities of the decoder are verified first through C++ programs. Verilog is used for hardware description, and then the decoder is synthesized with a $.25{\mu}m$ CMOS TML library. The functionalities of the chip is also verified through test vectors. The clock speed of the chip is 250MHz, and the maximum data rate is 1Gbps.

• Proceedings of the Korean Institute of Communication Sciences Conference
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• 1996.10a
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• pp.1105-1108
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• 1996

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.49 no.1
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• pp.25-34
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• 2012

This paper presents a universal architecture for variable-length eight-parallel Reed-Solomon (RS) decoder for high-rate WPAN systems. The proposed architecture can support not only RS(255,239) code but various shortened RS codes. Moreover, variable-length architecture provides variable low latency for various shortened RS codes and the eight-parallel design also provides high data processing rate. Using 90-$nm$ CMOS standard cell technology, the proposed RS decoder has been synthesized and measured for performance. The proposed RS decoder can provide a maximum 19-$Gbps$ data rate at clock frequency 300 $MHz$.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.10 no.7
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• pp.1202-1207
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• 2006

In this paper we analyze the performance improvement of the M-ary FSK systems for low power and low data rate applications. This contribution presents a unified analysis of its MRC diversity, uncoded and performance in A WGN, m=2, m=3, Rayleigh and one sided Gaussian fading channels using optimum noncoherent demodulation with Reed-Solomon(RS) codes. The results of this paper should be useful as benchmarks of obtainable performance and as a reference for validating the results of simulation studies when slow fading models are applicable.

• Proceedings of the KIEE Conference
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• 2001.07d
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• pp.2493-2495
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• 2001

Burst Error Channel의 에러 정정 기술로써 Reed-Solomon Product Code(RSPC)가 광범위하게 사용되고 있다. 그러나 Random Error Channel과는 달리 Burst Error Channel 상에서 RSPC의 에러 정정 평가 방법에는 많은 어려움이 있다. 우리는 이번 논문에서 Burst Error Channel 상에서 RSPC의 Error Correction Capability의 확률적인 계산 방법을 기술하려 한다.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.40 no.8
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• pp.1477-1484
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• 2015

In this paper, a novel reversible data hiding by using Reed-Solomon (RS) code is proposed for efficient transmission in encryption image. To increase the recovery of data from encrypted image, RS codes are used to encode messages, and then the codewords can be embedded into encrypted image according to encryption key. After receiving encrypted image which embeds the codewords, the receiver firstly decryptes the encrypted image using the encryption key and get metric about codewords containing messages. According to recovery capability of RS codes, better estimation of message is done in data hiding system. Simulation results about two images and two RS codes show that the performances of the proposed schemes are better than ones of the reference scheme.

• Journal of the Korean Institute of Telematics and Electronics C
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• v.36C no.1
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• pp.34-40
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• 1999

Reed-Solomon(RS) codes have been employed to correct burst errors in applications such as CD-ROM, HDTV, ATM and digital VCRs. For the decoding RS codes, the Berlekamp-Massey algorithm, Euclidean algorithm and modified Euclidean algorithm(MEA) have been developed among which the MEA becomes the most popular decoding scheme. We propose an efficient recursive cell architecture suitable for the MEA. The advantages of the proposed scheme are twofold. First, The proposed architecture uses about 25% less clock cycles required in the MEA operation than[1]. Second, the number of recursive MEA cells can be reduced, when the number of clock cycles spent in the MEA operation is larger than code word length n. thereby buffer requirement for the received words can be reduced. For demonstration, the MEA circurity for (128,124) RS code have been described and the MEA operation is verified through VHDL.

• 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.

• The Journal of the Korea institute of electronic communication sciences
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• v.13 no.1
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• pp.69-76
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• 2018

This paper studies the Turbo Codes, the concatenation of Turbo Codes and Reed-Solomon (RS) codes on Orthogonal frequency-division multiplexing (OFDM) in digital communication channel, and then analysis the performances of the new concatenated Forward Error Correct (FEC) scheme applied to an OFDM system based on the digital terrestrial video broadcasting (DVB-T) scheme. We compared the results with the standard DVB-T convolutional codes performances on Additive White Gaussian Noise (AWGN) channels. The simulation results shown that by employing turbo codes with only a few numbers of iterations, the performances of the overall system can be improved significantly. These results will be obtained by applying an appropriate interleaver technique in the concatenated FEC procedure.

• Journal of Communications and Networks
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• v.9 no.3
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• pp.265-273
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• 2007

This paper expands an analytical performance model of 802.11 to accurately estimate throughput and energy demand of 802.11-based wireless sensor network (WSN) when sensor nodes employ Reed-Solomon (RS) codes, one of block forward error correction (FEC) techniques. This model evaluates these two metrics as a function of the channel bit error rate (BER) and the RS symbol size. Since the basic recovery unit of RS codes is a symbol not a bit, the symbol size affects the WSN performance even if each packet carries the same amount of FEC check bits. The larger size is more effective to recover long-lasting error bursts although it increases the computational complexity of encoding and decoding RS codes. For applying the extended model to WSNs, this paper collects traffic traces from a WSN consisting of two TIP50CM sensor nodes and measures its energy consumption for processing RS codes. Based on traces, it approximates WSN channels with Gilbert models. The computational analyses confirm that the adoption of RS codes in 802.11 significantly improves its throughput and energy efficiency of WSNs with a high BER. They also predict that the choice of an appropriate RS symbol size causes a lot of difference in throughput and power waste over short-term durations while the symbol size rarely affects the long-term average of these metrics.