• Title/Summary/Keyword: Basis

Search Result 31,702, Processing Time 0.054 seconds

GRӦBNER-SHIRSHOV BASIS AND ITS APPLICATION

  • Oh, Sei-Qwon;Park, Mi-Yeon
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.15 no.2
    • /
    • pp.97-107
    • /
    • 2003
  • An efficient algorithm for the multiplication in a binary finite filed using a normal basis representation of $F_{2^m}$ is discussed and proposed for software implementation of elliptic curve cryptography. The algorithm is developed by using the storage scheme of sparse matrices.

  • PDF

On the Radial Basis Function Networks with the Basis Function of q-Normal Distribution

  • Eccyuya, Kotaro;Tanaka, Masaru
    • Proceedings of the IEEK Conference
    • /
    • 2002.07a
    • /
    • pp.26-29
    • /
    • 2002
  • Radial Basis Function (RBF) networks is known as efficient method in classification problems and function approximation. The basis function of RBF networks is usual adopted normal distribution like the Gaussian function. The output of the Gaussian function has the maximum at the center and decrease as increase the distance from the center. For learning of neural network, the method treating the limited area of input space is sometimes more useful than the method treating the whole of input space. The q-normal distribution is the set of probability density function include the Gaussian function. In this paper, we introduce the RBF networks with the basis function of q-normal distribution and actually approximate a function using the RBF networks.

  • PDF

Statistical Extraction of Speech Features Using Independent Component Analysis and Its Application to Speaker Identification

  • Jang, Gil-Jin;Oh, Yung-Hwan
    • The Journal of the Acoustical Society of Korea
    • /
    • v.21 no.4E
    • /
    • pp.156-163
    • /
    • 2002
  • We apply independent component analysis (ICA) for extracting an optimal basis to the problem of finding efficient features for representing speech signals of a given speaker The speech segments are assumed to be generated by a linear combination of the basis functions, thus the distribution of speech segments of a speaker is modeled by adapting the basis functions so that each source component is statistically independent. The learned basis functions are oriented and localized in both space and frequency, bearing a resemblance to Gabor wavelets. These features are speaker dependent characteristics and to assess their efficiency we performed speaker identification experiments and compared our results with the conventional Fourier-basis. Our results show that the proposed method is more efficient than the conventional Fourier-based features in that they can obtain a higher speaker identification rate.

Development of a safe operation capability chart as the design basis of a rudder area

  • You, Youngjun;Kim, Sewon;Kim, Woojin
    • International Journal of Naval Architecture and Ocean Engineering
    • /
    • v.10 no.5
    • /
    • pp.529-544
    • /
    • 2018
  • Ship owners now demand a new design approach for the rudder that considers detailed design information such as maneuverability and environmental loads etc. on a quantified basis. In this paper, we developed the concept of a safe operation capability chart for the design of a rudder area. The chart can be used as the basis of design considering the maneuverability and environmental loads. To confirm the applicability of the safe operation capability chart for use as the basis of design, four different rudders are assumed in this work. First, it is determined whether or not it is appropriate to design a rudder by applying a conventional design approach based on IMO maneuvering tests. The proposed concept is reviewed for use as the basis of the design by investigating the effect of rudder area on capability charts that are plotted according to the rudder under various environmental conditions.

HRIR Customization in the Median Plane via Principal Components Analysis (주성분 분석을 이용한 HRIR 맞춤 기법)

  • Hwang, Sung-Mok;Park, Young-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2007.05a
    • /
    • pp.120-126
    • /
    • 2007
  • A principal components analysis of the entire median HRIRs in the CIPIC HRTF database reveals that the individual HRIRs can be adequately reconstructed by a linear combination of several orthonormal basis functions. The basis functions cover the inter-individual and inter-elevation variations in median HRIRs. There are elevation-dependent tendencies in the weights of basis functions, and the basis functions can be ordered according to the magnitude of standard deviation of the weights at each elevation. We propose a HRIR customization method via tuning of the weights of 3 dominant basis functions corresponding to the 3 largest standard deviations at each elevation. Subjective listening test results show that both front-back reversal and vertical perception can be improved with the customized HRIRs.

  • PDF

Late Time and Wideband Electromagnetic Signal Extraction Using Gaussian Basis Function (가우시안 기저함수를 이용한 늦은 시간 및 광대역 전자기응답 추출)

  • Lee, Je-Hun;Ryu, Beong-Ju;Koh, Jinhwan
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.39A no.3
    • /
    • pp.140-148
    • /
    • 2014
  • In this paper, We proposed Gaussian function as a basis of hybrid method. Hybrid method is to extrapolate late time and high frequency data using early time and low frequency data. This method takes advantages of both MOT and MOM as well as having shorter running time and smaller error. For this method a better basis function is required. We compared the performance of the result with proposed function and conventional basis including Hermite and Laguerre polynomial.

Lattice Reduction Aided MIMO Receiver Using Dual Basis (Dual basis를 이용한 격자 감소 방식의 다중 입출력 수신기)

  • Kwon, Dong-Young;Song, Hyung-Joon;Park, Sung-Soo;Hong, Dae-Sik
    • Proceedings of the IEEK Conference
    • /
    • 2008.06a
    • /
    • pp.187-188
    • /
    • 2008
  • This paper presents a lattice reduction aided (LRA) MIMO receiver using dual basis. By reducing the basis of channel inversion matrix which directly boosts the noise power, the LRA-MIMO receiver using dual basis has better performance than that using primal basis.

  • PDF

BASIS WEIGHT PROFILE CONTROL OF A PAPER MACHINEA

  • Matsuda, Mitsuharu
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1988.10b
    • /
    • pp.864-868
    • /
    • 1988
  • During the 1980s, the use of high-speed printing and copying machines which will not tolerate much variation in paper weight has increased. As a result, there is a growing demand for improved basis weight control systems for paper machines. Basis weight, the weight of a square meter sheet of paper, is the most important measure of paper consistency. Until quite recently, basis weight could only be controlled manually; this required experienced operators. The reasons for the difficulty in automating control of basis weight is due to the complexity and variability of process characteristics, the "noisiness" of the process (process disturbances), and actuator inadequacies. This paper describes a method of automatic control that we have developed; it incorporates the experience of expert operators, and the results of simulation, in confidence factors.e factors.

  • PDF

COMPUTATIONS OF A NATURAL CONVECTION FLOW USING HERMITE FINITE ELEMENTS (Hermite 유한요소에 의한 자연대류 유동계산)

  • Kim, J.W.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2007.10a
    • /
    • pp.220-225
    • /
    • 2007
  • This paper is a continuation of the recent development on the hermite-based divergence free basis function and deals with a non-isothermal fluid flow thru the buoyancy driven flow in a square cavity with temperature difference across the two sides. The basis functions for the velocities consist of the hermite function and its curl. However, the basis for the temperature are the hermite function and its gradienst. Hence, the number of degrees of freedom at a node becomes 6, which are the stream function, two velocities, the temperature and its x- and y-derivatives. Numerical results for the streamlines, the temperatures, the x-velocities and the y-velocities show good agreements with those of De vahl Davis[7].

  • PDF