• The Journal of Korean Institute of Communications and Information Sciences
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• v.36 no.11C
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• pp.649-654
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• 2011

In this paper, we show new method to find number of errors in the Reed-Solomon decoder. New design is much faster and has much simpler logic circuit than the former design method. This optimization was possible by very simplified square calculating circuit and parallel processing. The microcontroller of this Reed Solomon decoder can be used for data protection of almost all digital communication and consumer electronic devices.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.24 no.8A
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• pp.1238-1244
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• 1999

In this paper, a new design of a triple-erroe-correcting (TEC) Reed-Solomon decoder is presented based on direct decoding method which is more efficient for the case of relatively small error correction capability. The proposed decoder requires only 9 GF(2m) multipliers in obtaining the error-locator polynomial and the error-evaluator polynomial, whereas other decoders needs 24 multipliers. Thus, the attractive feature of this decoder is its remarkable simplicity from the point of view of implementation. Futhermore, the proposed TEC Reed-Solomon decoder has very simple control circuit and short decoding delay. Therefore this decoder can be implemented by simple hardware and also save buffer memory which stores received sequence.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.2
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• pp.257-278
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• 2014

The concept of zero(0) and calculations involving 0 are a few of the most difficult topics that students experience in learning mathematics. Therefore, it implies that proper guidance to help students understand the desirable concept of 0 and acquire calculating process involving 0 should be provided when we teach numbers and operations. This study aims to investigate instructional situations in relation to the errors of 0 and to search for efficient ways to teach them based on the previous research. To do this, we analysed elementary mathematics textbooks and workbooks. The result showed that $0{\div}$(a number) and the division of which quotient includes 0 as a middle digit lacked in current textbooks and workbooks. We devised the learning activities of the two topics for 3rd grades and 4th grades, respectively. We expect that the activities will be helpful to devise learning activities of textbook and suggest some implications for teaching the calculations involving 0.

• Annual Conference on Human and Language Technology
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• 2014.10a
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• pp.127-132
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• 2014

본 논문은 위키피디아로부터 한국어-영어 간 병렬 문장을 추출하기 위해 이질적 언어 자원의 순차적 매칭을 적용한 유사도 계산 방법을 제안한다. 선행 연구에서는 병렬 문장 추출을 위해 언어 자원별로 유사도를 계산하여 선형 결합하였고, 토픽모델을 이용해 추정한 단어의 토픽 분포를 유사도 계산에 추가로 이용함으로써 병렬 문장 추출 성능을 향상시켰다. 하지만, 이는 언어 자원들이 독립적으로 사용되어 각 언어자원이 가지는 오류가 문장 간 유사도 계산에 반영되는 문제와 관련이 적은 단어 간의 분포가 유사도 계산에 반영되는 문제가 있다. 본 논문에서는 이질적인 언어 자원들을 이용해 순차적으로 단어를 매칭함으로써 언어 자원들의 독립적인 사용으로 각 자원의 오류가 유사도에 반영되는 문제를 해결하였고, 관련이 높은 단어의 분포만을 유사도 계산에 이용함으로써 관련이 적은 단어의 분포가 반영되는 문제를 해결하였다. 실험을 통해, 언어 자원들을 이용해 순차적으로 매칭한 유사도 계산 방법은 선행 연구에 비해 F1-score 48.4%에서 51.3%로 향상된 성능을 보였고, 관련이 높은 단어의 분포만을 유사도 계산에 이용한 방법은 약 10%에서 34.1%로 향상된 성능을 얻었다. 마지막으로, 제안한 유사도 방법들을 결합함으로써 선행연구의 51.6%에서 2.7%가 향상된 54.3%의 성능을 얻었다.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.23-47
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• 2017

The purpose of this study is to analyze the types of errors that may occur in the four arithmetic operations of the fractions after classified according to the level of academic achievement for sixth-grade elementary school student who Learning of the four arithmetic operations of the fountain has been completed. The study was proceed to get the information how change teaching content and method in accordance with the level of academic achievement by looking at the types of errors that can occur in the four arithmetic operations of the fractions. The test paper for checking the type of errors caused by calculation of fractional was developed and gave it to students to test. And we saw the result by error rate and correct rate of fraction that is displayed in accordance with the level of academic achievement. We investigated the characteristics of the type of error in the calculation of the arithmetic operations of fractional that is displayed in accordance with the level of academic achievement. First, in the addition of the fractions, all levels of students showing the highest error rate in the calculation error. Specially, error rate in the calculation of different denominator was higher than the error rate in the calculation of same denominator Second, in the subtraction of the fractions, the high level of students have the highest rate in the calculation error and middle and low level of students have the highest rate in the conceptual error. Third, in the multiplication of the fractions, the high and middle level of students have the highest rate in the calculation error and low level of students have the highest rate in the a reciprocal error. Fourth, in the division of the fractions, all levels of students have the highest r rate in the calculation error.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.18 no.11
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• pp.1626-1634
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• 1993

In this paper we propose a coding scheme which combines source codes and error correcting codes in order to be robus to channel noise. One of the coding schemes that take into account both the source and the channel is the channel optimized quantizer (COQ) which simultaneously minimizes quantization noise and the noise due to channel errors. This paper deals with the problem of combining channel optimized quantizers with ECC to build an improved system. To be specific, we computed the performance of an n bit COQ and that of an n-1 bit COQ followed by an (n-1)/n punctured convolutional code. From this result whether or not the ECC are selected is determined by the number of allocated bits and the channel bit error rate. These results are applied to the image trans-mission method using DCT, and the system performances are evaluated.

• Journal of the Korean Data and Information Science Society
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• v.24 no.3
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• pp.477-485
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• 2013

In this paper, we consider the sample sizes required for each group in independent two sample test of normal populations when both the type I error and type II error probabilities are specified with sample sizes and variances being possibly different. We derived the sample sizes and the power of the tests, and implement them by web programing. The result is available over the world wide web. Further, we also provide the power calculations and have them available on the web.

• Journal of the Korean Data and Information Science Society
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• v.23 no.1
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• pp.53-61
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• 2012

There are cases when the sample size is determined based not only on the significance level but also on on the power or type II error. In this paper, we implemented the sample size and the power calculation when both the significance level and power for testing means in normal distributions and proportions in binomial distributions. The implementation is available on a web site. Alternately, we also calculate the power for a given effect size, type I error probability and sample size.

• Journal of the Korean Chemical Society
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• v.47 no.1
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• pp.31-37
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• 2003

The expanded uncertainties calculated by the application of GUM -approximation and Monte-Carlo simulation were compared about the model equation of one-point calibration which is widely used for the measurements and chemical analysis. For the comparisons, we assumed a set of artificial data at the various level of concentration and dispersion of t or normal distribution. Mistakes of more then 50 % was revealed at the values calculated by GUM-approximation in comparison with those of Monte-Carlo simulation because of the excess dispersion from t-distribution and non-linearity by division in the equation. In contrary, the mistake of calculation due to non-linearity of the equation was not observed in the level of detection limits with the equation of one-point calibration, because of the relatively large values of uncertainty in response.

• Proceedings of the KAIS Fall Conference
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• 2010.11a
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• pp.16-19
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• 2010

본 논문에서는 송신국과 릴레이에서의 오류확률을 고려한 복호 후 전달 릴레이(DF: Decoded and Forward) 시스템에 대하여 정확한 비트 오류율 분석을 수행하고자 한다. 성능 분석에서는 복호 후 전달 릴레이 시스템의 노드들 간의 채널을 상호 독립적인 레일리 페이딩 채널로 가정하고 변조 방식으로는 BPSK(Binary Phase Shift Keying)를 사용한다. 우선, 정확한 평균 오류율 분석을 위하여 송신국-수신국 링크와 릴레이-수신국 링크 결합시 릴레이노드의 복호결과 오류 유무에 따라 수신 SNR(Signal to Noise Ratio)을 각각 유도하고 복호결과가 오류일 때 수신 SNR이 양수인 경우와 음수인 경우를 고려하여 그에 대한 PDF(Probability Density Function)를 계산한다. 그리고 각각의 경우에 대한 평균 오류율을 유도하였다. 또한 모의실험 결과와의 비교를 통하여 제안된 성능 분석 기법의 정확성을 검증하였다.