• 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.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.49 no.5
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• pp.15-20
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• 2012

In this paper, we show new method to find the error locations of received Reed-Solomon code word. New design is much faster and has much simpler logic circuit than the former design method. This optimization was possible by very simplified square/$X^4$ calculating circuit, parallel processing and not using the very complex Divider. The Reed Solomon decoder using this new Chien Machine can be applicated for data protection of almost all digital communication and consumer electronic devices.

• Proceedings of the IEEK Conference
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• 2000.11a
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• pp.137-140
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• 2000

In this paper. we analyzed the performance of a SFH (slow frequency hopping) system under partial-band jamming, multiple access interference and wide-band random noise. For the correction of burst errors due to channel hit, Reed-Solomon coding followed by block interleaving is employed. Errors-and-erasures decoding with side information is exploited to enhance the correctional capability. We derived a closed-form solution for the BER estimation. Errors resulting from random noise and erasures resulting from burst interference are separately analyzed and finally BER is computed due to these composite noise sources. Estimated BER performance is verified by computer simulation.

• Proceedings of the IEEK Conference
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• 2001.09a
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• pp.245-248
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• 2001

본 논문에서는 연집 오류(burst error)에 우수한 정정 능력을 보이는 고속 RS(Reed-Solomon) 복호기를 제안한다. 제안된 RS 복호기는 RS(n, k, t); (37 < n ≤ 255, 21 < k ≤ 239, t = 8)의 사양을 지원하며 수정 유클리드 알고리즘(modified Euclid´s algorithm)을 이용한 시스톨릭 어레이(systolic array) 방식의 병렬처리 구조로 설계되었다. 고속 RS 복호기의 효율적인 VSLI 설계를 위하여 새로운 방식의 수정 유클리드 알고리즘 연간 회로를 제안한다. 제안된 수정 유클리드 알고리즘 회로는 2t + 1의 연산 지연 시간을 갖으며 기존 구조의 연산 지연 시간인 3t + 37에 비하여 t = 8 인 경우 약 72%의 연산 지연이 감소하였다. 제안된 구조를 VHDL을 이용하여 설계하였으며 SAMSUNG 0.5㎛(KG80) 라이브러리를 이용하여 논리 합성과 타이밍 검증을 수행하였다. 합성된 RS 복호기의 총 게이트 수는 약 77,000 개이며 최대 80MHz의 동작 속도를 나타내었다.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.11 no.6
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• pp.2202-2206
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• 2010

In this paper, an architecture for modified Euclidean(ME) algorithm is proposed, which is using finite-state machine(FSM) instead of degree computation. Since the proposed architecture does not have degree computation circuits, it is possible to reduce the hardware complexity of RS(Reed-Solomon) decoder, so that a very high-speed RS decoder can be implemented. RS(255,239) decoder with the proposed architecture is implemented using Verilog-HDL and requires about 13% fewer gate counts than conventional one.

• Aerospace Engineering and Technology
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• v.6 no.2
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• pp.157-163
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• 2007

The purpose of this study is to design and simulate Reed Solomon encoder(255,223) in PCM/FM communication system in order to transmit the KSLV-I onboard video data. Especially in the compressed video data transmission applications, the communication system is required to have a very low BER performance because of interframe or interframe compression techniques. We have used the primitive polynomial of CCSDS standard and calculated the various coefficients and then the encoder have been simulated as a part of RF interface FPGA hardware in a video compression unit.

• The Transactions of the Korea Information Processing Society
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• v.7 no.5
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• pp.1491-1499
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• 2000

This paper is designed and implemented the data recovery mechanism for 2-D (2-dimensional) bar code system. The data recovery algorithm used the modified Reed-Solomon algorithm and it is implemented into 2-D bar code system. There are 7 types of 2-D bar code system, which are 21x21, 25x25, 41x41, 73x73, 101x101, 177x177. This paper has been experimented that how many data is saved among several 2-D bar code types and how many data re recovered. In the first experiment, the big size 2-D bar code system has many ECC codeword. Therefore, original data cannot be assigned to 2-D bar code system. In the second experiment, even if 35∼40% loss dta for the 2-D bar code system, the 2-D bar code system could have been recovered to original data.

• 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.

• Journal of the Korean Institute of Telematics and Electronics B
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• v.30B no.11
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• pp.17-26
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• 1993

In this paper, a VlSI architecture for Reed-Solomon (RS) decoder based on the Berlekamp algorithm is proposed. The proposed decoder provided both erasure and error correcting capability. In order to reduc the chip area, we reformulate the Berlekamp algorithm. The proposed algorithm possesses a recursive structure so that the number of cells for computing the errata locator polynomial can be reduced. Moreover, in our approach, only one finite field multiplication per clock cycle is required for implementation, provided an improvement in the decoding speed, and the overall architecture features parallel and pipelined structure, making a real time decoding possible. From the performance evaluation, it is concluded that the proposed VLSI architecture is more efficient in terms of VLSI implementation than the rcursive architecture based on the Euclid algorithm.

• Journal of the Korean Institute of Telematics and Electronics A
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• v.30A no.11
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• pp.21-28
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• 1993

Decoding algorithm of noncyclic Reed-Solomon codes consists of four steps which are to compute syndromes, to find error-location polynomial, to decide error-location, and to solve error-values. There is a decoding method by which the computation of both error-location polynomial and error-evaluator polynimial can be avoided in conventional decoding methods using Euclid algorithm. The disadvantage of this method is that the same amount of computation is needed that is equivalent to solve the avoided polynomial. This paper considers the division method on polynomial on GF(2$^{m}$) systematically. And proposes a novel method to find error correcting polynomial by simple mathematical expression without the same amount of computation to find the two avoided polynomial. Especially. proposes the method which the amount of computation to find F (x) from the division M(x) by x, (x-1),....(x--${\alpha}^{n-2}$) respectively can be avoided. By applying the simple expression to decoding procedure on RS codes, propses a new decoding algorithm, and to show the validity of presented method, computer simulation is performed.