• Title/Summary/Keyword: Quantization rule

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Quantization Rule for Relativistic Klein-Gordon Equation

  • Sun, Ho-Sung
    • Bulletin of the Korean Chemical Society
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    • v.32 no.12
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    • pp.4233-4238
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    • 2011
  • Based on the exact quantization rule for the nonrelativistic Schrodinger equation, the exact quantization rule for the relativistic one-dimensional Klein-Gordon equation is suggested. Using the new quantization rule, the exact relativistic energies for exactly solvable potentials, e.g. harmonic oscillator, Morse, and Rosen-Morse II type potentials, are obtained. Consequently the new quantization rule is found to be exact for one-dimensional spinless relativistic quantum systems. Though the physical meanings of the new quantization rule have not been fully understood yet, the present formal derivation scheme may shed light on understanding relativistic quantum systems more deeply.

A Study of Adaptive Quantization

  • Ho, Yo-Seong
    • ETRI Journal
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    • v.7 no.3
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    • pp.12-16
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    • 1985
  • In this paper, the basic philosophy and adaptation rule of adaptive quantization are described. By computer simulations, some properties of adaptive quantization for a first-order Gauss-Markov process are considered.

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Fuzzy Neural Network Model Using Asymmetric Fuzzy Learning Rates (비대칭 퍼지 학습률을 이용한 퍼지 신경회로망 모델)

  • Kim Yong-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.7
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    • pp.800-804
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    • 2005
  • This paper presents a fuzzy learning rule which is the fuzzified version of LVQ(Learning Vector Quantization). This fuzzy learning rule 3 uses fuzzy learning rates. instead of the traditional learning rates. LVQ uses the same learning rate regardless of correctness of classification. But, the new fuzzy learning rule uses the different learning rates depending on whether classification is correct or not. The new fuzzy learning rule is integrated into the improved IAFC(Integrated Adaptive Fuzzy Clustering) neural network. The improved IAFC neural network is both stable and plastic. The iris data set is used to compare the performance of the supervised IAFC neural network 3 with the performance of backprogation neural network. The results show that the supervised IAFC neural network 3 is better than backpropagation neural network.

Optimal Design Method of Quantization of Membership Function and Rule Base of Fuzzy Logic Controller using the Genetic Algorithm (유전자 알고리즘을 이용한 퍼지논리 제어기 소속함수의 양자화와 제어규칙의 최적 설계방식)

  • Chung Sung-Boo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.3
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    • pp.676-683
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    • 2005
  • In this paper, we proposed a method that optimal values of fuzzy control rule base and quantization of membership function are searched by genetic algorithm. Proposed method searched the optimal values of membership function and control rules using genetic algorithm by off-line. Then fuzzy controller operates using these values by on-line. Proposed fuzzy control system is optimized the control rule base and membership function by genetic algorithm without expert's knowledge. We investigated proposed method through simulation and experiment using DC motor and one link manipulator, and confirmed the following usefulness.

Weighted Distance-Based Quantization for Distributed Estimation

  • Kim, Yoon Hak
    • Journal of information and communication convergence engineering
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    • v.12 no.4
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    • pp.215-220
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    • 2014
  • We consider quantization optimized for distributed estimation, where a set of sensors at different sites collect measurements on the parameter of interest, quantize them, and transmit the quantized data to a fusion node, which then estimates the parameter. Here, we propose an iterative quantizer design algorithm with a weighted distance rule that allows us to reduce a system-wide metric such as the estimation error by constructing quantization partitions with their optimal weights. We show that the search for the weights, the most expensive computational step in the algorithm, can be conducted in a sequential manner without deviating from convergence, leading to a significant reduction in design complexity. Our experments demonstrate that the proposed algorithm achieves improved performance over traditional quantizer designs. The benefit of the proposed technique is further illustrated by the experiments providing similar estimation performance with much lower complexity as compared to the recently published novel algorithms.

A Novel Cluster-Based Cooperative Spectrum Sensing with Double Adaptive Energy Thresholds and Multi-Bit Local Decision in Cognitive Radio

  • Van, Hiep-Vu;Koo, In-Soo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.3 no.5
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    • pp.461-474
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    • 2009
  • The cognitive radio (CR) technique is a useful tool for improving spectrum utilization by detecting and using the vacant spectrum bands in which cooperative spectrum sensing is a key element, while avoiding interfering with the primary user. In this paper, we propose a novel cluster-based cooperative spectrum sensing scheme in cognitive radio with two solutions for the purpose of improving in sensing performance. First, for the cluster header, we use the double adaptive energy thresholds and a multi-bit quantization with different quantization interval for improving the cluster performance. Second, in the common receiver, the weighed HALF-voting rule will be applied to achieve a better combination of all cluster decisions into a global decision.

Fuzzy Neural Network Model Using A Learning Rule Considering the Distance Between Classes (클래스간의 거리를 고려한 학습법칙을 사용한 퍼지 신경회로망 모델)

  • Kim Yong-Su;Baek Yong-Seon;Lee Se-Yeol
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.05a
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    • pp.109-112
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    • 2006
  • 본 논문은 클래스들의 대표값들과 입력 벡터와의 거리를 사용한 새로운 퍼지 학습법칙을 제안한다. 이 새로운 퍼지 학습을 supervised IAFC(Integrated Adaptive Fuzzy Clustering) 신경회로망에 적용하였다. 이 새로운 신경회로망은 안정성을 유지하면서도 유연성을 가지고 있다. iris 데이터를 사용하여 테스트한 결과 supervised IAFC 신경회로망 4는 오류 역전파 신경회로망과 LVQ 알고리즘보다 성능이 우수하였다.

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Fuzzy Neural Network Model Using A Learning Rule Considering the Distances Between Classes (클래스간의 거리를 고려한 학습법칙을 사용한 퍼지 신경회로망 모델)

  • Kim Yong-Soo;Baek Yong-Sun;Lee Se-Yul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.4
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    • pp.460-465
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    • 2006
  • This paper presents a new fuzzy learning rule which considers the Euclidean distances between the input vector and the prototypes of classes. The new fuzzy learning rule is integrated into the supervised IAFC neural network 4. This neural network is stable and plastic. We used iris data to compare the performance of the supervised IAFC neural network 4 with the performances of back propagation neural network and LVQ algorithm.

Fuzzy Learning Rule Using the Distance between Datum and the Centroids of Clusters (데이터와 클러스터들의 대표값들 사이의 거리를 이용한 퍼지학습법칙)

  • Kim, Yong-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.4
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    • pp.472-476
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    • 2007
  • Learning rule affects importantly the performance of neural network. This paper proposes a new fuzzy learning rule that uses the learning rate considering the distance between the input vector and the prototypes of classes. When the learning rule updates the prototypes of classes, this consideration reduces the effect of outlier on the prototypes of classes. This comes from making the effect of the input vector, which locates near the decision boundary, larger than an outlier. Therefore, it can prevents an outlier from deteriorating the decision boundary. This new fuzzy learning rule is integrated into IAFC(Integrated Adaptive Fuzzy Clustering) fuzzy neural network. Iris data set is used to compare the performance of the proposed fuzzy neural network with those of other supervised neural networks. The results show that the proposed fuzzy neural network is better than other supervised neural networks.

A Study on the Speech Recognition for DDD Area - Name Using Vector Quantization with Time Information (시간 정보와 VQ를 이용한 DDD 지역명 인식에 관한 연구)

  • LEE S. K.;LEE K. S.;ANN T. O.;CHO H. J.;BYON Y. C.;KIM S. H.
    • The Journal of the Acoustical Society of Korea
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    • v.8 no.5
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    • pp.102-112
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    • 1989
  • In this paper, we proposed the study on speaker-independent isolated word recognition for DDD area-name using vector quantization and chose total 146 DDD area-name to recognize words for application of dialing system. We made the codebook using 12th LPC cepstrum coefficients and used the minsum and the minimax method to find the centroid and we applied 3 splitting rule to a codebook generation. The single section and the multi section with time information were used to generate the codebooks and the over-lapped section codebook was used, too. From the experiment result, we proved that the minsum method was better than the minimax method and the evaluation of the system yielded an accuracy of about 90 percents In case of speaker-independent.

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