• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 1996.06a
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• pp.55-59
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• 1996

In this paper, we first analyze the influence of interference due to the time variation and delay spread of the mobile channel on an orthogonal frequency division multiplexing (OFDM) system. With the result, we obtain the bit error rate performance of the 16-QAM OFDM system. Second, we investigate the performance of the Reed-Solomon (RS) coded 16-QAM OFDM system when the number of subcarriers varies. In the investigation, we assume that the information transmission rate and the total bandwidth expansion due to coding, guard interval, and the number of subcarriers are fixed. Under this condition, it is observed that there are optimum numbers of subcarriers that minimize the post decoding symbol error probability of RS code for various channel states.

• Proceedings of the IEEK Conference
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• 1998.10a
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• pp.679-682
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• 1998

This paper presents the VLSI implementation of RS(reed-solomon) decoder using the Modified Euclidean Algorithm(hereafter MEA) for DVD(Digital Versatile Disc) and CD(Compact Disc). The decoder has a capability of correcting 8-error or 16-erasure for DVD and 2-error or 4-erasure for CD. The technique of polynomial evaluation is introduced to realize syndrome calculation and a polynomial expansion circuit is developed to calculate the Forney syndrome polynomial and the erasure locator polynomial. Due to the property of our system with buffer memory, the MEA architecture can have a recursive structure which the number of basic operating cells can be reduced to one. We also proposed five criteria to determine an uncorrectable codeword in using the MEA. The overall architecture is a simple and regular and has a 4-stage pipelined structure.

• The Transactions of the Korea Information Processing Society
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• v.2 no.1
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• pp.75-80
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• 1995

In this paper, we show that it is more efficient to use a new algorithm than to use a method of trace definition and property when we use trace calculation method on trinomial irreducible polynomial of reed-solomon code. This implementation has been done in SUN SPARC2 workstation using C-language.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2009.11a
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• pp.281-283
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• 2009

본 논문에서는 군집 소실 채널 상에서 동작할 수 있는 짧은 길이의 인터리빙 된 코드들의 성능을 분석한다. 먼저 좋은 성능을 갖는 짧은 길이의 그래프 부호와 해밍부호를 설계한다. 이 후 군집 소실에 잘 대응하기 위하여 인터리빙 기능을 채널 부호화 방법에 적용한다. 생성된 짧은 코드에 적용한 인터리빙 부호를 군집 소실에 최적의 성능을 보이는 Reed-Solomon (RS) 부호와 성능을 비교한다. 짧은 길이의 부호이므로, ML(Maximum Likelihood)방법과 BP(Belief propagation)의 두 가지 복호 방법들을 이용한 경우 성능의 차이 또한 비교해 본다.

• Bulletin of the Korean Space Science Society
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• 2003.10a
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• pp.60-60
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• 2003

과학위성 1호에는 원자외선 분광기를 포함한 다섯 개의 탑재체가 있다. MMS(Mass Memory System)는 이들 탑재체가 수집한 데이터를 대용량 메모리에 저장한 후 지상국으로 보내는 역할을 하며 우주방사선에 의한 메모리 데이터의 오류와 무선 채널을 통한 Downlink 상에서 발생하는 오류를 최소화하기 위해서 소프트웨어적으로 에러를 정정할 수 있는 Reed-Solomon Code를 사용 하였다. 탑재체의 데이터를 저장하기 위한 대용량 메모리는 총 2Gbits로써 8M SRAM, 64M SDRAM, 256M SDRAM의 세 가지로 구성되어 있으며 메모리 여러 개를 하나의 모듈로 만들고 이 모듈이 층으로 쌓여서 MMS에 탑재되어 있다. SRAM에 비해서 집적도가 매우 높은 SDRAM은 공간을 적게 차지하는 장점은 있지만 우주용이 아니므로 그 안정성을 보장할 수 없으므로 우리별 3호에서 성능이 입증된 SRAM과 같이 탑재되었다. 본 연구에서는 MMS의 구조, 동작모드, Spec 및 연구 개발 내용을 소개한다.

• Proceedings of the KIEE Conference
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• 1987.07b
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• pp.845-849
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• 1987

Finite field arithmetic logic is central in the implementation of Reed-Solomon coders and in some cryptographic algorithms. There is a need for good multiplication and basis conversion algorithms. In this paper, a new multiplication circuit is developed for the finite field GF($2^m$) based on a conventional basis. It is composed of AND gates and EXCLUSIVE-OR gates and is regular, simple, expandable and therefore, naturally suitable for VLSI implementations.

• Proceedings of the KIEE Conference
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• 2006.07d
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• pp.2013-2014
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• 2006

For large capacity optical CDMA networks, we propose a shared-type encoder/decoder based on an tunable wavelength conveter (TWC) and an arrayed waveguide grating (AWG) router. Feasibility of the structure of the proposed encoder/decoder for dynamic code allocation is tested through simulations using three types of wavelength/time 2-D codes, which are the generalized multi-wavelength prime code(GMWPC), the generalized multi-wavelength Reed-Solomon code(GMWRSC) and the matrix code. Test results show that the proposed encoder/decoder can increase the channel efficiency not only by increasing the number of simultaneous users without any multiple-access interference but by using a relatively short length CDMA codes.

• Proceedings of the IEEK Conference
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• 1998.06a
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• pp.281-284
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• 1998

In this paper, a RS(Reed-Solomon) docoder is designed in the transform domain instead of most time domain. The transform RS decoder have simpler structure for error-correction procedure but because of his larger chip area, the time domain RS decoder is popular currently. To solve this proplem, the nomal basis representation and the conjugate property is utilized. Therefore the chip area can be reduced for the stucture of syndrome delay, nomalization and inverse transform circuit. These modified structures have been implemented using VHDL and synthesized on 0.8${\mu}{\textrm}{m}$ CMOS technology. The results have been compared with other structure for chip area and performance.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.31 no.7C
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• pp.659-664
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• 2006

We propose two error correcting algorithms for high-density optical storage systems. The first algorithm reduces the false-erasure declaration by reducing the sensitivity on random errors and increases the code rate using a simple erasure indication method. The second one exploits just the known indicator flag instead of error correcting code such as Reed-Solomon(RS) code. The proposed algorithms are superior to the error correcting algorithms of conventional systems such as DVD and BD.

• Proceedings of the KIEE Conference
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• 2005.10b
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• pp.406-408
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• 2005

A passive Optical Network (PON) is famous for the most cost-efficient solution among the optical networks. This is because there is no active device between a central office and subscribers. A wavelength division multiplexing (WDM) offers each subscriber to feel unlimited bandwidth. A WDM-PON, however, has a cost problem that WDM-PON is used commercially. To solve this trouble, it is surveyed that a Sub-Carrier Multiplexing (SCM) used in a WDM-PON increases the number of subscribers. The performance of WDM/SCM-PON varies with various noises. The several FEC Codes can reduce the effects of noise and improve the performance of the system. Thus, Choosing a suitable FEC code is important work. This paper describes that a Reed-Solomon (RS) code is the most suitable code for WDM/SCM-PON at the object of 100 Mbps and $10^{-9}$ BER