• 제목/요약/키워드: {1,2}-inverse

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Fast Inverse Transform Considering Multiplications (곱셈 연산을 고려한 고속 역변환 방법)

  • Hyeonju Song;Yung-Lyul Lee
    • Journal of Broadcast Engineering
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    • 제28권1호
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    • pp.100-108
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    • 2023
  • In hybrid block-based video coding, transform coding converts spatial domain residual signals into frequency domain data and concentrates energy in a low frequency band to achieve a high compression efficiency in entropy coding. The state-of-the-art video coding standard, VVC(Versatile Video Coding), uses DCT-2(Discrete Cosine Transform type 2), DST-7(Discrete Sine Transform type 7), and DCT-8(Discrete Cosine Transform type 8) for primary transform. In this paper, considering that DCT-2, DST-7, and DCT-8 are all linear transformations, we propose an inverse transform that reduces the number of multiplications in the inverse transform by using the linearity of the linear transform. The proposed inverse transform method reduced encoding time and decoding time by an average 26%, 15% in AI and 4%, 10% in RA without the increase of bitrate compared to VTM-8.2.

THE GENERALIZED INVERSES A(1,2)T,S OF THE ADJOINTABLE OPERATORS ON THE HILBERT C^*-MODULES

  • Xu, Qingxiang;Zhang, Xiaobo
    • Journal of the Korean Mathematical Society
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    • 제47권2호
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    • pp.363-372
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    • 2010
  • In this paper, we introduce and study the generalized inverse $A^{(1,2)}_{T,S}$ with the prescribed range T and null space S of an adjointable operator A from one Hilbert $C^*$-module to another, and get some analogous results known for finite matrices over the complex field or associated rings, and the Hilbert space operators.

A kinematic Analysis of Binary Robot Manipulator using Genetic Algorithms

  • Gilha Ryu;Ihnseok Rhee
    • International Journal of Precision Engineering and Manufacturing
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    • 제2권1호
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    • pp.76-80
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    • 2001
  • A binary parallel robot manipulator uses actuators that have only two stable states being built by stacking variable geometry trusses on top of each other in a long serial chain. Discrete characteristics of the binary manipulator make it impossible to analyze an inverse kinematic problem in conventional ways. We therefore introduce new definitions of workspace and inverse kinematic solution, and the apply a genetic algorithm to the newly defied inverse kinematic problem. Numerical examples show that our genetic algorithm is very efficient to solve the inverse kinematic problem of binary robot manipulators.

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Performance Comparison between Inverse Class-F and Class-F Amplifiers Based on the Waveform Analysis

  • Yang, Youn-goo;Woo, Young-Yun;Kim, Bum-man
    • Journal of electromagnetic engineering and science
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    • 제2권1호
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    • pp.5-10
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    • 2002
  • We have analized the inverse class-F and class-F amplifiers using their waveforms. From the analytic equations derived from the analysis, we have calculated tole efficiencies, output powers, DC power dissipations, and optimum fundamental load impedances of the inverse class-F and class-F amplifiers. We also have compared them for various operation conditions, which include the same peak current, saute DC power dissipation, same fundamental RF output power, and same fundamental load impedance with different Ron(on-resistance). These analyses have clearly shown the performance limitations, advantages, and guide to the optimized design of the inverse class-F amplifiers.

Noninformative Priors for the Ratio of Parameters in Inverse Gaussian Distribution (INVERSE GAUSSIAN분포의 모수비에 대한 무정보적 사전분포에 대한 연구)

  • 강상길;김달호;이우동
    • The Korean Journal of Applied Statistics
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    • 제17권1호
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    • pp.49-60
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    • 2004
  • In this paper, when the observations are distributed as inverse gaussian, we developed the noninformative priors for ratio of the parameters of inverse gaussian distribution. We developed the first order matching prior and proved that the second order matching prior does not exist. It turns out that one-at-a-time reference prior satisfies a first order matching criterion. Some simulation study is performed.

Position and Vibration Control of a Spatial Redundant Flexible Manipulator by using Pseudo-inverse of Jacobian (유사 역행렬을 이용한 여유자유도 3차원 유연 매니퓰레이터의 위치 및 진동제어)

  • Kim, Jin-Su
    • Journal of the Korean Society for Precision Engineering
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    • 제18권12호
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    • pp.66-72
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    • 2001
  • In this paper, by using pseudo-inverse matrix of the spatial redundant flexible manipulators, a position control method and its effect in vibration suppression was presented. Vibration suppression control was developed using lumped mass spring model of the flexible manipulators. With 2 elastic links and 7 rotory joint manipulator ADAM, (1)position control for no redundancy, and (2)position control for one redundant DOF(degree of freedom) were tested. The objective of this experiment is to show the effect of position control, using pseudo-inverse matrix. toward the improvement of operation, and at the same time, to reduce the vibration of the link and the magnitude of the joint torque.

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LEVEL-m SCALED CIRCULANT FACTOR MATRICES OVER THE COMPLEX NUMBER FIELD AND THE QUATERNION DIVISION ALGEBRA

  • Jiang, Zhao-Lin;Liu, San-Yang
    • Journal of applied mathematics & informatics
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    • 제14권1_2호
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    • pp.81-96
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    • 2004
  • The level-m scaled circulant factor matrix over the complex number field is introduced. Its diagonalization and spectral decomposition and representation are discussed. An explicit formula for the entries of the inverse of a level-m scaled circulant factor matrix is presented. Finally, an algorithm for finding the inverse of such matrices over the quaternion division algebra is given.

INVERSE MINIMUM FLOW PROBLEM

  • Ciurea, Eleonor;Deaconu, Adrian
    • Journal of applied mathematics & informatics
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    • 제23권1_2호
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    • pp.193-203
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    • 2007
  • In this paper we consider the inverse minimum flow (ImF) problem, where lower and upper bounds for the flow must be changed as little as possible so that a given feasible flow becomes a minimum flow. A linear time and space method to decide if the problem has solution is presented. Strongly and weakly polynomial algorithms for solving the ImF problem are proposed. Some particular cases are studied and a numerical example is given.

FORWARD ORDER LAW FOR THE GENERALIZED INVERSES OF MULTIPLE MATRIX PRODUCT

  • Xiong, Zhipin;Zheng, Bing
    • Journal of applied mathematics & informatics
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    • 제25권1_2호
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    • pp.415-424
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    • 2007
  • The generalized inverses have many important applications in the aspects of theoretic research and numerical computations and therefore they were studied by many authors. In this paper we get some necessary and sufficient conditions of the forward order law for {1}-inverse of multiple matrices products $A\;=\;A_1A_2{\cdots}A_n$ by using the maximal rank of generalized Schur complement.

The Method of New Robust Inverse Filter Design in 2-Ch Audio System (2채널 오디오 시스템에서 전달계 변동에 강인한 역필터 설계 기법)

  • Park, Byoung-Uk;Kim, Hack-Yoon
    • Journal of the Korea Society of Computer and Information
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    • 제13권1호
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    • pp.185-192
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    • 2008
  • The crosstalk is the most serious problem in playing audio signals with more than two speakers. Usually an inverse filter is employed to remove such a Phenomenon. The LNS method, one of most effective design techniques for an inverse filter, has some advantages such as easy implementation and quick computation. However, the inverse filter designed by the LNS method is not easy to adapt immediately for the delivery system change since the pre-measured impulse response is used to design the filter. In this work, we present an adaptive algorithm for the inverse filter design. With the present algorithm. the inverse filter is initially designed by the LNS methods and continuously adjusted to cope with the delivery system changes. To verify the proposed method. some simulations were carried out and the results confirmed that the performance of the crosstalk calculation can be improved in entire frequency range.

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