• Title/Summary/Keyword: Orthogonal Property

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Graphical Methods for Evaluating the Degree of the Orthogonality of Nearly Orthogonal Arrays (근사직교배열의 직교성의 정도를 평가하기 위한 그레픽방법)

  • Jang Dae-Heung
    • Journal of Korean Society for Quality Management
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    • v.32 no.4
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    • pp.220-228
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    • 2004
  • The orthogonality is an important property in the experimental designs. When we use nearly orthogonal arrays, we need evaluate the degree of the orthogonality of given experimental designs. Graphical methods for evaluating the degree of the orthogonality of nearly orthogonal arrays are suggested.

Generalized Orthogonal Matching Pursuit (일반화된 직교 매칭 퍼슛 알고리듬)

  • Kwon, Seok-Beop;Shim, Byong-Hyo
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.49 no.2
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    • pp.122-129
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    • 2012
  • As a greedy algorithm reconstructing the sparse signal from underdetermined system, orthogonal matching pursuit (OMP) algorithm has received much attention in recent years. In this paper, we present an extension of OMP for pursuing efficiency of the index selection. Our approach, referred to as generalized OMP (gOMP), is literally a generalization of the OMP in the sense that multiple (N) columns are identified per step. Using the restricted isometry property (RIP), we derive the condition for gOMP to recover the sparse signal exactly. The gOMP guarantees to reconstruct sparse signal when the sensing matrix satisfies the RIP constant ${\delta}_{NK}$ < $\frac{\sqrt{N}}{\sqrt{K}+2\sqrt{N}}$. In addition, we show recovery performance and the reduced number of iteration required to recover the sparse signal.

Mutual Information as a Criterion for Evaluating the Degree of the Orthogonality of Nearly Orthogonal Arrays (근사직교배열의 직교성을 평가하기 위한 측도로서의 상호정보)

  • Jang, Dae-Heung
    • Journal of Korean Society for Quality Management
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    • v.36 no.3
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    • pp.13-21
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    • 2008
  • The orthogonality is an important property in the experimental designs. When we use nearly orthogonal arrays(for example, supersaturated designs), we need evaluate the degree of the orthogonality of given nearly orthogonal arrays. We can use the mutual information as a new criterion for evaluating and testing the degree of the orthogonality of given nearly orthogonal arrays.

A Study on Plastic Strain after Orthogonal Machining using Finite Element Analysis (유한요소법을 이용한 2차원 절삭가공면의 소성스트레인에 관한 연구)

  • 김기환;문상돈;신형곤;김태영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.988-991
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    • 2001
  • Plastically deformed layer influences the mechanical property of the mechanical element such as creep hardening, microscopical crack and stress corrosion destruction. Therefore, the property so called the surface integrity has to be considered, and the machined surface including plastic deformation, distribution of stress has to be conducted quantitatively. This paper explains the orthogonal cutting, and made an orthogonal cutting model using the finite element method, then analyzed cutting power, plastic deformation of workpiece. It introduces the developed subsequent recrystallizations technique for measurement of the plastic strain of machined surface, and verified the technique.

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A Study on Plastic Strain after Orthogonal Machining using Finite Element Analysis (유한요소법을 이용한 절삭가공면의 소성스트레인에 관한 연구)

  • Shin, Hyung-Gon;Kim, Tae-Young
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.2 no.3
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    • pp.69-75
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    • 2003
  • Plastically deformed layer influences the mechanical property of the mechanical element such as creep hardening, microscopical crack and stress corrosion destruction. Therefore, the property so called the surface integrity has to be considered, and the machined surface including plastic deformation, distribution of stress has to be conducted quantitatively. This paper explains the orthogonal cutting, and made an orthogonal cutting model using the finite element method, then analyzed cutting power, plastic deformation of workpiece. It introduces the developed subsequent recrystallizations technique for measurement of the plastic strain of machined surface, and verified the technique.

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Hybrid Linear Analysis Based on the Net Analyte Signal in Spectral Response with Orthogonal Signal Correction

  • Park, Kwang-Su;Jun, Chi-Hyuck
    • Near Infrared Analysis
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    • v.1 no.2
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    • pp.1-8
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    • 2000
  • Using the net analyte signal, hybrid linear analysis was proposed to predict chemical concentration. In this paper, we select a sample from training set and apply orthogonal signal correction to obtain an improved pseudo unit spectrum for hybrid least analysis. using the mean spectrum of a calibration training set, we first show the calibration by hybrid least analysis is effective to the prediction of not only chemical concentrations but also physical property variables. Then, a pseudo unit spectrum from a training set is also tested with and without orthogonal signal correction. We use two data sets, one including five chemical concentrations and the other including ten physical property variables, to compare the performance of partial least squares and modified hybrid least analysis calibration methods. The results show that the hybrid least analysis with a selected training spectrum instead of well-measured pure spectrum still gives good performances, which is a little better than partial least squares.

A Study on Circular Filtering in Orthogonal Transform Domain

  • Song, Bong-Seop;Lee, Sang-Uk
    • Journal of Electrical Engineering and information Science
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    • v.1 no.2
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    • pp.125-133
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    • 1996
  • In this paper, we dicuss on the properties related to the circular filtering in orthogonal transform domain. The efficient filtering schemes in six orthogonal transform domains are presented by generalizing the convolution-multiplication property of the DFT. In brief, the circular filtering can be accomplished by multiplying the transform domain filtering matrix W, which is shown to be very sparse, yielding the computational gains compared with the time domain processing. As an application, decimation and interpolation techniques in orthogonal transform domains are also investigated.

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Double Random Phase Encryption Based Orthogonal Encoding Technique for Color Images

  • Lee, In-Ho;Cho, Myungjin
    • Journal of the Optical Society of Korea
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    • v.18 no.2
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    • pp.129-133
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    • 2014
  • In this paper, we propose a simple Double random phase encryption (DRPE)-based orthogonal encoding technique for color image encryption. In the proposed orthogonal encoding technique, a color image is decomposed into red, green, and blue components before encryption, and the three components are independently encrypted with DRPE using the same key in order to decrease the complexity of encryption and decryption. Then, the encrypted data are encoded with a Hadamard matrix that has the orthogonal property. The purpose of the proposed orthogonal encoding technique is to improve the security of DRPE using the same key at the cost of a little complexity. The proposed orthogonal encoder consists of simple linear operations, so that it is easy to implement. We also provide the simulation results in order to show the effects of the proposed orthogonal encoding technique.

THE HARBOURNE-HIRSCHOWITZ CONDITION AND THE ANTICANONICAL ORTHOGONAL PROPERTY FOR SURFACES

  • Abel Castorena;Juan Bosco Frias-Medina
    • Journal of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.359-374
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    • 2023
  • In this paper we give the first steps toward the study of the Harbourne-Hirschowitz condition and the anticanonical orthogonal property for regular surfaces. To do so, we consider the Kodaira dimension of the surfaces and study the cases based on the Enriques-Kodaira classification.

An Efficient Channel Estimation for Amplify and Forward Cooperative Diversity with Relay Selection

  • Jeong, Hyun-Doo;Lee, Jae-Hong
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2009.01a
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    • pp.94-98
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    • 2009
  • In this paper, we propose a new channel estimation scheme for amplify and forward cooperative diversity with relay selection. In order to select best relay, it is necessary to know channel state information (CSI) at the destination. Most of the previous works, however, assume that perfect CSI is available at the destination. In addition, when the number of relay is increased it is difficult to estimate CSI through all relays within coherence time of a channel because of the large amount of frame overhead for channel estimation. In a proposed channel estimation scheme, each terminal has distinct pilot signal which is orthogonal each other. By using orthogonal property of pilot signals, CSI is estimated over two pilot signal transmission phases so that frame overhead is reduced significantly. Due to the orthogonal property among pilot signals, estimation error does not depend on the number of relays. Simulation result shows that the proposed channel estimation scheme provides accurate CSI at the destination.

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