• Title/Summary/Keyword: diagonalization

Search Result 70, Processing Time 0.023 seconds

A High Resolution Scheme for Cavitating Flow

  • Shin B. R.;Oh S. J.;Obayashi S.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2005.10a
    • /
    • pp.169-177
    • /
    • 2005
  • A high resolution scheme for solving gas-liquid two-phase flows with cavitation is described. This scheme uses the curvilinear coordinate grid and solves the density based momentum equations for mixture of gas-liquid medium with a preconditioning method to treat both compressible and incompressible flow characteristics. The present preconditioned method is based on the Runge-Kutta explicit finite-difference scheme, and is improved by using the diagonalization, the flux difference splitting and the MUSCL-TVD schemes to save computational effort and to increase stability and resolvability, especially at gas-liquid contact surfaces. A homogeneous equilibrium cavitation model is used to treat the gas-liquid two-phase medium in cavitating flow as a locally homogeneous pseudo-single-phase medium. Therefore, it is easy to solve cavitating flow, including wave propagation, large density changes and incompressible flow characteristic at low Mach number. Some numerical results obtained by the present scheme are shown.

  • PDF

Design of an Adaptive Nonlinear Compensator using a Wavelet Transform Domain Volterra Filter and a Modified Escalator Algorithm

  • Hwang, Dong-Oh;Kang, Dong-Jun;Nam, Sang-Won
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.98.5-98
    • /
    • 2001
  • An efficient adaptive nonlinear compensator, based on a wavelet transform domain adaptive Volterra filter along with a modified escalator algorithm, is proposed to speed up the convergence rate of an adaptive LMS algorithm. In particular, it is well known that the e.g., slow convergence speed of an adaptive LMS algorithm depends on the statistical characteristics (e.g., large eigenvalue spread) of the corresponding auto-correlation matrix of the input vector. To solve such a convergence problem, the proposed approach utilizes a modified escalator algorithm and a wavelet transform domain adaptive LMS Volterra filtering technique, which leads to diagonalization of the auto-correlation matrix of the ...

  • PDF

A Study on Singularly Perturbed Open-Loop Systems by Delta Operator Approach

  • Shim, Kyu-Hong;M. Edwin Sawan
    • Transactions on Control, Automation and Systems Engineering
    • /
    • v.3 no.4
    • /
    • pp.242-249
    • /
    • 2001
  • In this paper, the open-loop state response of the two-time-scale systems by unified approach using the $\delta$-operator is presented with an example of the aircraft longitudinal dynamics. First, the $\delta$-operator system unifies both the continuous system and the discrete system simultaneously, and the $\delta$-operator approach improves the finite word-length characteristics. This saves more computing time than that of the discrete system. Second, the singular perturbation method by block diagonalization reduces the sizes and orders of the systems. This also reduces the floating-point operations (flops). The advantage of those two approaches is shown by comparing our results with the earlier ones in the illustrative example of the longitudinal motion of F-8 aircraft.

  • PDF

A Feature Extraction Method by Simultaneous Diagonalization (동시절각화에 의한 다변수군간 특징추출의 일수법)

  • ;安居院猛
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.15 no.4
    • /
    • pp.14-19
    • /
    • 1978
  • Here a method is shown to extract features from two multi-variable classes by using the coordinate systems transformed by one-class and mixture normalization algorithms. Some properties and implemented results of this technique are described. Also, comparision of these features with factor analysis results is performed. This method is thought to be more powerful one, in feature extraction sense, than factor analysis.

  • PDF

Transient Response of 1 DOF Complex Stiffness System via Hilbert-transform (힐버트 변환을 이용한 복소강성을 지니는 1자유도 시스템의 과도응답)

  • Bae, Seung-Hoon;Jeong, Weui Bong;Cho, Jin Rae
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2014.10a
    • /
    • pp.298-299
    • /
    • 2014
  • The solution of transient response of complex stiffness system was obtained using a green function of this system. To derive the green function, governing equation of this systems was expressed in Steady Space and solved by the diagonalization. The solution of this system are written as a convolution integral form. The result that are calculated by the numerical integration process for transient responses was showed properly.

  • PDF

Geometric Programming Applied to Multipoint-to-Multipoint MIMO Relay Networks

  • Kim, Jaesin;Kim, Suil;Pak, Ui-Young
    • Journal of Communications and Networks
    • /
    • v.17 no.3
    • /
    • pp.241-246
    • /
    • 2015
  • In this paper, we consider a relaying system which employs a single relay in a wireless network with distributed sources and destinations. Here, all source, destination, and relay nodes are equipped with multiple antennas. For amplify-and-forward relay systems, we confirm the achievable sum rate through a joint multiple source precoders and a single relay filter design. To this end, we propose a new linear processing scheme in terms of maximizing the sum rate performance by applying a blockwise relaying method combined with geometric programming techniques. By allowing the global channel knowledge at the source nodes, we show that this joint design problem is formulated as a standard geometric program, which can guarantees a global optimal value under the modified sum rate criterion. Simulation results show that the proposed blockwise relaying scheme with the joint power allocation method provides substantial sum rate gain compared to the conventional schemes.

Development of an algorithm for the separation of ECG from mixed EMG signal (ICA를 이용한 근전도에 첨가된 심전도 신호 분리 알고리즘의 개발)

  • Lee, J.;Kwon, O.Y.;Lee, K.J.
    • Proceedings of the KIEE Conference
    • /
    • 2002.07d
    • /
    • pp.2687-2689
    • /
    • 2002
  • 본 연구는 환자의 근육 상태를 표면 근전도(EMG, Electrocardiogram)를 통해 정량적으로 평가한 결과를 기반으로 적응 전기치료를 수행 시, 근전도 정량평가에 영향을 주는 심전도 신호를 독립요소 해석(ICA, Independent Component Analysis)을 이용하여 획득된 신호로부터 분리함으로써, 정확한 근전도 정량평가를 할 수 있도록 하는 것을 목적으로 한다. 실험 방법은 소스(source)를 근전도와 심전도 2개로 가정하고, 4 채널을 통하여 획득된 신호를 10 Hz-500 Hz의 대역통과 필터를 이용하여 필터링한 후, 1000 sample/sec로 샘플링하여 센서로 사용하였으며, JADE(Joint Approximate Diagonalization of Eigen-matrices) 알고리즘을 통하여 근전도 신호와 심전도 신호를 분리하였다. 알고리즘의 permutation ambiguity와 scaling ambiguity 특성 문제를 해결하기 위하여, 분리된 신호의 주파수 분석을 통하여 심전도와 근전도 신호로 구분하였으며, 인식된 근전도 신호의 크기를 센서 신호를 기준으로 복원하였다. 결론적으로 아날로그 및 디지털 필터와 달리 근전도의 신호의 왜곡을 극소화하면서도 심전도 신호를 분리해 냄으로써, 근전도를 통한 근육상태의 효과적인 평가가 가능하게 되었다.

  • PDF

Proofs of Utkin's Theorem for MIMO Uncertain Integral Linear Systems

  • Lee, Jung-Hoon
    • Journal of IKEEE
    • /
    • v.18 no.2
    • /
    • pp.255-262
    • /
    • 2014
  • The uncertain integral linear system is the integral-augmented uncertain system to improve the resultant performance. In this note, for a MI(Multi Input) uncertain integral linear case, Utkin's theorem is proved clearly and comparatively. With respect to the two transformations(diagonalizations), the equation of the sliding mode is invariant. By using the results of this note, in the SMC for MIMO uncertain integral linear systems, the existence condition of the sliding mode on the predetermined sliding surface is easily proved. The effectiveness of the main results is verified through an illustrative example and simulation study.

ASYMPTOTIC STABILITY OF NON-AUTONOMOUS UPPER TRIANGULAR SYSTEMS AND A GENERALIZATION OF LEVINSON'S THEOREM

  • Lee, Min-Gi
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.33 no.2
    • /
    • pp.237-253
    • /
    • 2020
  • This article studies asymptotic stability of non-auto nomous linear systems with time-dependent coefficient matrices {A(t)}t∈ℝ. The classical theorem of Levinson has been widely used to science and engineering non-autonomous systems, but systems with defective eigenvalues could not be covered because such a family does not allow continuous diagonalization. We study systems where the family allows to have upper triangulation and to have defective eigenvalues. In addition to the wider applicability, working with upper triangular matrices in place of Jordan form matrices offers more flexibility. We interpret our and earlier works including Levinson's theorem from the perspective of invariant manifold theory.

Precoding Method for Increasing System Capacity in Multiuser MIMO Downlink Channels (다중사용자 MIMO 하향링크 채널 환경에서 시스템 용량 향상을 위한 프리코딩 기법)

  • Kim, Kwang-Yoon;Lee, Jong-Sik;Koo, Sung-Wan;Yang, Jea-Su;Kim, Jin-Young
    • 한국정보통신설비학회:학술대회논문집
    • /
    • 2008.08a
    • /
    • pp.12-16
    • /
    • 2008
  • In this paper, we study precoding techniques for co-channel interference suppression in multiuser MIMO systems. DPC is optimal techniques to achieve the system capacity of multiuser MIMO downlink channels. DPC is not proper in practical wireless systems because complexity is very high. So block diagonal precoding for multiuser MIMO downlink channel is studied. The block diagonal precoding is used to suppress co-channel interference between multiuser. Block diagonal precoding method, whose complexity is reduced by modified null space operation, change multiuser MIMO channel to multiple single-user MIMO channel. We also use V-BLAST decoder in receiver. V-BLAST decoder can achieve increased system capacity in proportion to the number of users. We show improved system performance by using computer simulation.

  • PDF