• Title/Summary/Keyword: Parity equation

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An Encoder Fault Detection Scheme using Parity Equation for Vector Controlled Induction Motor Drives (벡터제어 유도전동기 구동장치를 위한 패리티 관계식을 이용한 엔코더 고장검출 기법)

  • Park, Tae-Geon;Ryu, Ji-Su;Lee, Kee-Sang
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2014-2017
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    • 2001
  • In induction motor control systems driven by the indirect vector control scheme, the errorneous measurement of rotor speed results in incorrect flux angle estimate and consequently deteriorates the overall control performance. In this paper the effect of encoder fault on motor variables and control performance is analyzed by both theoretical approach and experimental study. A parity equation based on the power is suggested and applied to detect the incipient fault of encoder.

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A Two-Step Screening Algorithm to Solve Linear Error Equations for Blind Identification of Block Codes Based on Binary Galois Field

  • Liu, Qian;Zhang, Hao;Yu, Peidong;Wang, Gang;Qiu, Zhaoyang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.9
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    • pp.3458-3481
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    • 2021
  • Existing methods for blind identification of linear block codes without a candidate set are mainly built on the Gauss elimination process. However, the fault tolerance will fall short when the intercepted bit error rate (BER) is too high. To address this issue, we apply the reverse algebra approach and propose a novel "two-step-screening" algorithm by solving the linear error equations on the binary Galois field, or GF(2). In the first step, a recursive matrix partition is implemented to solve the system linear error equations where the coefficient matrix is constructed by the full codewords which come from the intercepted noisy bitstream. This process is repeated to derive all those possible parity-checks. In the second step, a check matrix constructed by the intercepted codewords is applied to find the correct parity-checks out of all possible parity-checks solutions. This novel "two-step-screening" algorithm can be used in different codes like Hamming codes, BCH codes, LDPC codes, and quasi-cyclic LDPC codes. The simulation results have shown that it can highly improve the fault tolerance ability compared to the existing Gauss elimination process-based algorithms.

Design of a Low-Power LDPC Decoder by Reducing Decoding Iterations (반복 복호 횟수 감소를 통한 저전력 LDPC 복호기 설계)

  • Lee, Jun-Ho;Park, Chang-Soo;Hwang, Sun-Young
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.9C
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    • pp.801-809
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    • 2007
  • LDPC Low Density Parity Check) code, which is an error correcting code determined to be applied to the 4th generation mobile communication systems, requires a heavy computational complexity due to iterative decodings to achieve a high BER performance. This paper proposes an algorithm to reduce the number of decoding iterations to increase performance of the decoder in decoding latency and power consumption. Measuring changes between the current decoded LLR values and previous ones, the proposed algorithm predicts directions of the value changes. Based on the prediction, the algorithm inverts the sign bits of the LLR values to speed up convergence, which means parity check equation is satisfied. Simulation results show that the number of iterations has been reduced by about 33% without BER performance degradation in the proposed decoder, and the power consumption has also been decreased in proportional to the amount of the reduced decoding iterations.

A NEW MEAN VALUE RELATED TO D. H. LEHMER'S PROBLEM AND KLOOSTERMAN SUMS

  • Han, Di;Zhang, Wenpeng
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.35-43
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    • 2015
  • Let q > 1 be an odd integer and c be a fixed integer with (c, q) = 1. For each integer a with $1{\leq}a{\leq}q-1$, it is clear that the exists one and only one b with $0{\leq}b{\leq}q-1$ such that $ab{\equiv}c$ (mod q). Let N(c, q) denote the number of all solutions of the congruence equation $ab{\equiv}c$ (mod q) for $1{\leq}a$, $b{\leq}q-1$ in which a and $\bar{b}$ are of opposite parity, where $\bar{b}$ is defined by the congruence equation $b\bar{b}{\equiv}1$ (modq). The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the mean value properties of a summation involving $(N(c,q)-\frac{1}{2}{\phi}(q))$ and Kloosterman sums, and give a sharper asymptotic formula for it.

A MEAN VALUE FUNCTION AND ITS COMPUTATIONAL FORMULA RELATED TO D. H. LEHMER'S PROBLEM

  • Wang, Tingting
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.487-494
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    • 2016
  • Let p be an odd prime and c be a fixed integer with (c, p) = 1. For each integer a with $1{\leq}a{\leq}p-1$, it is clear that there exists one and only one b with $0{\leq}b{\leq}p-1$ such that $ab{\equiv}c$ mod p. Let N(c, p) denote the number of all solutions of the congruence equation $ab{\equiv}c$ mod p for $1{\leq}a$, $b{{\leq}}p-1$ in which a and $\bar{b}$ are of opposite parity, where $\bar{b}$ is defined by the congruence equation $b{\bar{b}}{\equiv}1$ mod p. The main purpose of this paper is using the mean value theorem of Dirichlet L-functions and the properties of Gauss sums to study the computational problem of one kind mean value function related to $E(c,p)=N(c,p)-{\frac{1}{2}}{\phi}(p)$, and give its an exact computational formula.

Genetic parameter estimation for milk β-hydroxybutyrate and acetone in early lactation and its association with fat to protein ratio and energy balance in Korean Holstein cattle

  • Ranaraja, Umanthi;Cho, KwangHyun;Park, MiNa;Kim, SiDong;Lee, SeokHyun;Do, ChangHee
    • Asian-Australasian Journal of Animal Sciences
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    • v.31 no.6
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    • pp.798-803
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    • 2018
  • Objective: The objective of this study was to estimate the genetic parameters for milk ${\beta}$-hydroxybutyrate (BHBA), acetone (Ac), fat protein ratio (FPR), and energy balance (EB) using milk test day records and investigate the effect of early lactation FPR and EB on milk ketone body concentrations. Methods: Total 262,940 test-day records collected from Korea Animal Improvement Association during the period of 2012 to 2016 were used in this study. BHBA and Ac concentrations in milk were measured by Fourier transform infrared spectroscopy (FTIR). FPR values were obtained using test day records of fat and protein percentage. EB was calculated using previously developed equation based on parity, lactation week, and milk composition data. Genetic parameters were estimated by restricted maximum likelihood procedure based on repeatability model using Wombat program. Results: Elevated milk BHBA and Ac concentrations were observed during the early lactation under the negative energy balance. Milk FPR tends to decrease with the decreasing ketone body concentrations. Heritability estimates for milk BHBA, Ac, EB, and FPR ranged from 0.09 to 0.14, 0.23 to 0.31, 0.19 to 0.52, and 0.16 to 0.42 respectively at parity 1, 2, 3, and 4. The overall heritability for BHBA, Ac, EB and FPR were 0.29, 0.32, 0.58, and 0.38 respectively. A common pattern was observed in heritability of EB and FPR along with parities. Conclusion: FPR and EB can be suggested as potential predictors for risk of hyperketonemia. The heritability estimates of milk BHBA, Ac, EB, and FPR indicate that the selective breeding may contribute to maintaining the milk ketone bodies at optimum level during early lactation.

The Serverith Leverls and Patterns of Perimenstrual symptoms among Korean Women in relation to their Ages (여성의 연령과월경 전후기 증상 정도 및 유형에 관한 연구)

  • Park, Young-Joo
    • Women's Health Nursing
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    • v.5 no.2
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    • pp.162-175
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    • 1999
  • The study was intended to investigate and explore the preimenstrual symptoms, their severity levels, their patterns and the relationships of the age to those symptoms and patterns among Korean women. The data were collected from 844 women in one highschool, one Nursing college and one Korea National Open University in Seoul, from Nov, 1997 to Jun. 1998. The instruments were the Menstrual Symptoms Questionnaire developed by Chesney and the Center for Epidemiologic studies Depression scale developed by Radloff. the data were analyzed by descriptive statistics, ANOVA, Duncan's multiple comparison test, $X^2$-test, simple regression analysis and logistic regression analysis using pc-SAS program. The results were as follows ; 1. Korean women had more symptoms of abdominal bloating, fatigue, abdominal discomfort and backache in perimenstrual period. There Teenages had more symptoms of depression and uterine cramps in the day before or the first day of menstruation. Women in their twenties had more symptoms of abdominal pain or abdominal discomfort, backache, abdominal bloating and the sensitiveness /discomforts in the lower back, abdomen and inner part of thighs. women in their thirties had more symptoms of abdominal bloating, fatigue, tension and nervousness before the menstruation, abdominal discomfort and backpain in the first day of menstruation. Women in their forties had more symptoms of backache, breast discomforts, abdominal pain and discomforts. 2. The severity levels of the perimenstrual symptoms showed the highest score(mean=2.73) in twenties and the lowest score)mean=1.96) in forties The perimenstrual symptom patterns were prevailed the spasmodic menstrual symptoms in teenage and twenties and the congestive menstrual symptoms in thirties and forties. The age was a determinant of perimenstrual symptom patterns and the precipitative equation was log[p(age)/(1-p(age)]=2.7356-0.0982 age. 3. The relationship of the age to perimenstrual symptoms was vanished or lessened, controlling for parity as a test factor. this finding supports the notion that parity is an extraneous variable.

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Advanced Multi-Pass Fast Correlation Attack on Stream Ciphers (스트림 암호에 대한 개선된 다중 경로 고속 상관 공격)

  • Kim, Hyun;Sung, Jae-Chul;Lee, Sang-Jin;Park, Hae-Ryong;Chun, Kil-Soo;Hong, Seok-Hie
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.17 no.4
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    • pp.53-60
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    • 2007
  • In a known plaintext scenario, fast correlation attack is very powerful attack on stream ciphers. Most of fast correlation attacks consider the cryptographic problem as the suitable decoding problem. In this paper, we introduce advanced multi-pass fast correlation attack which is based on the fast correlation attack, which uses parity check equation and Fast Walsh Transform, proposed by Chose et al. and the Multi-pass fast correlation attack proposed by Zhang et al. We guess some bits of initial states of the target LFSR with the same method as previously proposed methods, but we can get one more bits at each passes and we will recover the initial states more efficiently.

Model-Free Hybrid Fault Detection and Isolation For UAV Inertial Measurement Sensors (무인기 관성측정 센서의 비모델 복합 고장진단기법)

  • Kim, Seung-Keun;Kim, You-Dan
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.3
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    • pp.200-206
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    • 2005
  • In this paper, a redundancy management system for aircraft is studied, and FDI (Fault Detection and Isolation) algorithm of inertial sensor system is proposed. UAV system cannot allow triple or quadruple hardware redundancy due to the limitations on space and weight. In the UAV system with dual sensors, it is very difficult to identify the faulty sensor. Also, conventional FDI method cannot isolate multiple faults in a triple redundancy system. In this paper, hardware based FDI technique is proposed, which combines a parity equation approach with the wavelet based technique, which is a model-free FDI method. To verify the effectiveness of the proposed FDI method, numerical simulations are performed.

Hybrid Fault Detection and Isolation Techniques for Aircraft Inertial Measurement Sensors

  • Kim, Seung-Keun;Jung, In-Sung;Kim, You-Dan
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.1
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    • pp.73-83
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    • 2006
  • In this paper, a redundancy management system for aircraft is studied, and fault detection and isolation algorithms of inertial sensor system are proposed. Contrary to the conventional aircraft systems, UAV system cannot allow triple or quadruple hardware redundancy due to the limitations on space and weight. In the UAV system with dual sensors, it is very difficult to identify the faulty sensor. Also, conventional fault detection and isolation (FDI) method cannot isolate multiple faults in a triple redundancy system. In this paper, two FDI techniques are proposed. First, hardware based FDI technique is proposed, which combines a parity equation approach with a wavelet based technique. Second, analytic FDI technique based on the Kalman filter is proposed, which is a model-based FDI method utilizing the threshold value and the confirmation time. To provide the reference value for detecting the fault, residuals are calculated using the extended Kalman filter. To verify the effectiveness of the proposed FDI methods, numerical simulations are performed.