• Title/Summary/Keyword: subspace decomposition

검색결과 68건 처리시간 0.023초

On Semisimple Representations of the Framed g-loop Quiver

  • Choy, Jaeyoo
    • Kyungpook Mathematical Journal
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    • 제57권4호
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    • pp.601-612
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    • 2017
  • Let Q be the frame g-loop quiver, i.e. a generalized ADHM quiver obtained by replacing the two loops into g loops. The vector space M of representations of Q admits an involution ${\ast}$ if orthogonal and symplectic structures on the representation spaces are endowed. We prove equivalence between semisimplicity of representations of the ${\ast}-invariant$ subspace N of M and the orbit-closedness with respect to the natural adjoint action on N. We also explain this equivalence in terms of King's stability [8] and orthogonal decomposition of representations.

A Study on Signal Parameters Estimation via Nonlinear Minimization

  • Jeong, Jung-Sik
    • 한국항해항만학회지
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    • 제28권4호
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    • pp.305-309
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    • 2004
  • The problem for parameters estimation of the received signals impinging on array sensors has long been of great research Interest in a great variety of applications, such as radar, sonar, and land mobile communications systems. Conventional subspace-based algorithms, such as MUSIC and ESPRIT, require an extensive computation of inverse matrix and eigen-decomposition In this paper, we propose a new parameters estimation algorithm via nonlinear minimization, which is simplified computationally and estimates signal parameters simultaneously.

Mode-SVD-Based Maximum Likelihood Source Localization Using Subspace Approach

  • Park, Chee-Hyun;Hong, Kwang-Seok
    • ETRI Journal
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    • 제34권5호
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    • pp.684-689
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    • 2012
  • A mode-singular-value-decomposition (SVD) maximum likelihood (ML) estimation procedure is proposed for the source localization problem under an additive measurement error model. In a practical situation, the noise variance is usually unknown. In this paper, we propose an algorithm that does not require the noise covariance matrix as a priori knowledge. In the proposed method, the weight is derived by the inverse of the noise magnitude square in the ML criterion. The performance of the proposed method outperforms that of the existing methods and approximates the Taylor-series ML and Cram$\acute{e}$r-Rao lower bound.

마이크로폰 어레이 신호의 잡음 제거를 위한 강인한 다채널 위너 필터 (Robust Multi-channel Wiener Filter for Suppressing Noise in Microphone Array Signal)

  • 정준영;김기백
    • 방송공학회논문지
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    • 제23권4호
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    • pp.519-525
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    • 2018
  • 본 논문에서는 다채널 위너 필터를 이용하여 마이크로폰 어레이에서 취득된 신호의 잡음을 제거하는 방법을 다룬다. 다채널 위너 필터는 음성 신호의 방향에 대한 정보를 필요로 하지 않는 필터로서 단일 음성 음원의 경우, 음성 왜곡을 발생시키지 않는 MVDR (Minimum Variance Distortionless Response) 공간 필터와 단일 채널 스펙트럼 필터로 분리될 수 있다. MVDR의 방향벡터에 해당하는 단일 음성 음원과 마이크로폰 어레이 간의 음향 전달 함수는 다채널 위너 필터의 부공간 분해 (subspace decomposition)를 이용하여 추정할 수 있다. 이 때 상관 행렬 추정 과정에서 발생하는 오차로 인해 추정되는 음향 전달 함수에도 오차가 발생하게 되며 이에 따라 다채널 위너 필터를 구성하는 MVDR은 음성 왜곡을 발생시키게 된다. 이러한 음성 왜곡을 완화시키기 위해 diagonal loading을 적용하고 실험을 통해 그 효과를 검증한다. 실험에서는 7개의 선형 마이크로폰으로 수집된 데이터를 이용하였으며 잡음을 섞기 전 신호와 잡음을 섞은 후 필터를 통과시킨 신호 간의 MFCC 오차를 측정한다. 실험 결과, diagonal loading을 통해 MFCC 오차를 줄일 수 있음을 확인하였다.

Finite element model updating of an arch type steel laboratory bridge model using semi-rigid connection

  • Altunisik, Ahmet Can;Bayraktar, Alemdar;Sevim, Baris;Kartal, Murat Emre;Adanur, Suleyman
    • Steel and Composite Structures
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    • 제10권6호
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    • pp.541-561
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    • 2010
  • This paper presents finite element analyses, experimental measurements and finite element model updating of an arch type steel laboratory bridge model using semi-rigid connections. The laboratory bridge model is a single span and fixed base structure with a length of 6.1 m and width of 1.1m. The height of the bridge column is 0.85 m and the maximum arch height is 0.95 m. Firstly, a finite element model of the bridge is created in SAP2000 program and analytical dynamic characteristics such as natural frequencies and mode shapes are determined. Then, experimental measurements using ambient vibration tests are performed and dynamic characteristics (natural frequencies, mode shapes and damping ratios) are obtained. Ambient vibration tests are performed under natural excitations such as wind and small impact effects. The Enhanced Frequency Domain Decomposition method in the frequency domain and the Stochastic Subspace Identification method in the time domain are used to extract the dynamic characteristics. Then the finite element model of the bridge is updated using linear elastic rotational springs in the supports and structural element connections to minimize the differences between analytically and experimentally estimated dynamic characteristics. At the end of the study, maximum differences in the natural frequencies are reduced on average from 47% to 2.6%. It is seen that there is a good agreement between analytical and experimental results after finite element model updating. Also, connection percentages of the all structural elements to joints are determined depending on the rotational spring stiffness.

Assessment of environmental effects in scour monitoring of a cable-stayed bridge simply based on pier vibration measurements

  • Wu, Wen-Hwa;Chen, Chien-Chou;Shi, Wei-Sheng;Huang, Chun-Ming
    • Smart Structures and Systems
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    • 제20권2호
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    • pp.231-246
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    • 2017
  • A recent work by the authors has demonstrated the feasibility of scour evaluation for Kao-Ping-Hsi Cable-Stayed Bridge simply based on ambient vibration measurements. To further attain the goal of scour monitoring, a key challenge comes from the interference of several environmental factors that may also significantly alter the pier frequencies without the change of scour depth. Consequently, this study attempts to investigate the variation in certain modal frequencies of this bridge induced by several environmental factors. Four sets of pier vibration measurements were taken either during the season of plum rains, under regular summer days without rain, or in a period of typhoon. These signals are analyzed with the stochastic subspace identification and empirical mode decomposition techniques. The variations of the identified modal frequencies are then compared with those of the corresponding traffic load, air temperature, and water level. Comparison of the analyzed results elucidates that both the traffic load and the environmental temperature are negatively correlated with the bridge frequencies. However, the traffic load is clearly a more dominant factor to alternate the identified bridge deck frequency than the environmental temperature. The pier modes are also influenced by the passing traffic on the bridge deck, even though with a weaker correlation. In addition, the variation of air temperature follows a similar tendency as that of the passing traffic, but its effect on changing the bridge frequencies is obviously not as significant. As for the effect from the alternation of water level, it is observed that the frequency baselines of the pier modes may positively correlate with the water level during the seasons of plum rains and typhoon.

Experimental evaluation of crack effects on the dynamic characteristics of a prototype arch dam using ambient vibration tests

  • Sevim, Baris;Altunisik, Ahmet Can;Bayraktar, Alemdar
    • Computers and Concrete
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    • 제10권3호
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    • pp.277-294
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    • 2012
  • The aim of the study is to determine the modal parameters of a prototype damaged arch dam by operational modal analysis (OMA) method for some damage scenarios. For this purpose, a prototype arch dam-reservoir-foundation model is constructed under laboratory conditions. Ambient vibration tests on the arch dam model are performed to identify the modal parameters such as natural frequency, mode shape and damping ratio. The tests are conducted for four test-case scenarios: an undamaged dam with empty reservoir, two different damaged dams with empty reservoirs, and a damaged dam with full reservoir. Loading simulating random impact effects is applied on the dam to crack. Cracks and fractures occurred at the middle of the upper part of the dams and distributed through the abutments. Sensitivity accelerometers are placed on the dams' crests to collect signals for measurements. Operational modal analysis software processes the signals collected from the ambient vibration tests, and enhanced frequency domain decomposition and stochastic subspace identification techniques are used to estimate modal parameters of the dams. The modal parameters are obtained to establish a basis for comparison of the results of two techniques for each damage case. Results show that approximately 35-40% difference exists between the natural frequencies obtained from Case 1 and Case 4. The natural frequencies of the dam considerably decrease with increasing cracks. However, observation shows that the filled reservoir slightly affected modal parameters of the dam after severe cracking. The mode shapes obtained are symmetrical and anti-symmetrical. Apparently, mode shapes in Case 1 represent the probable responses of arch dams more accurately. Also, damping ratio show an increase when cracking increases.

정합장 기반 표적 위치추정 시 모드공간 분석을 통한 간섭 신호 제거 기법 (Matched Field Source Localization and Interference Suppression Using Mode Space Estimation)

  • 김경섭;성우제;표상우
    • 한국음향학회지
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    • 제27권1호
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    • pp.40-46
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    • 2008
  • 천해 영역에서 선박과 같은 수상 소음원의 간섭 신호는 정합장처리를 이용한 수중 표적 탐지 및 위치추정 기법 적용에 있어 문제점으로 남아있다. 정지 음원의 경우 수신기공간의 음장에 대한 고유벡터분해를 통해 각 음원 성분을 분리하고 간섭 신호 성분을 제거할 수 있다. 하지만 일반적인 이동 음원 환경에서는 각 신호 성분의 에너지가 수신 음장의 부분공간에 퍼지게 되므로, 고유값 분포 비교만으로 각 신호 성분을 구별하기 어렵게 되거나 하나의 고유벡터에 각 신호성분이 섞이는 경우도 발생한다. 본 논문에서는 수상 음원과 수중 음원 신호의 물리적 특성 차이를 이용한 모드공간 간섭 신호 제거 기법을 제안하였다. 이 기법은 모드-공분산행렬에 대한 고유벡터분해를 통해 간섭 신호 성분을 판별하며, 이 성분들을 부분공간에서 제거함으로써 차폐되었던 표적 신호를 복원하고 위치추정을 가능하게 한다. 이를 모의실험을 통해 확인하고 결과에 대해 논의하였다.

특이값 분해를 이용한 블라인드 부분 간격 등화기 (Fractionally Spaced Blind Equalization Using Singular Value Decomposition)

  • 김금비;이정원;남해운;박대영
    • 한국통신학회논문지
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    • 제41권9호
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    • pp.1041-1043
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    • 2016
  • 이 논문은 새로운 블라인드 부분 간격 등화기를 제안한다. 기존의 선형 계획법을 이용한 등화기는 등화기 필터 탭의 자유도를 강제로 줄였기 때문에 성능이 저하된다. 제안 방법은 특이값 분해를 통해 신호 공간을 구해 표본을 최대한 사용하여 등화기 성능을 향상시킨다. 제안 방법은 핵 노름을 이용한 등화기와 성능은 비슷하면서도, 기존 선형 계획법을 이용한 등화기와 비슷한 낮은 복잡도를 갖는다.

Moving Object Detection Using Sparse Approximation and Sparse Coding Migration

  • Li, Shufang;Hu, Zhengping;Zhao, Mengyao
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제14권5호
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    • pp.2141-2155
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    • 2020
  • In order to meet the requirements of background change, illumination variation, moving shadow interference and high accuracy in object detection of moving camera, and strive for real-time and high efficiency, this paper presents an object detection algorithm based on sparse approximation recursion and sparse coding migration in subspace. First, low-rank sparse decomposition is used to reduce the dimension of the data. Combining with dictionary sparse representation, the computational model is established by the recursive formula of sparse approximation with the video sequences taken as subspace sets. And the moving object is calculated by the background difference method, which effectively reduces the computational complexity and running time. According to the idea of sparse coding migration, the above operations are carried out in the down-sampling space to further reduce the requirements of computational complexity and memory storage, and this will be adapt to multi-scale target objects and overcome the impact of large anomaly areas. Finally, experiments are carried out on VDAO datasets containing 59 sets of videos. The experimental results show that the algorithm can detect moving object effectively in the moving camera with uniform speed, not only in terms of low computational complexity but also in terms of low storage requirements, so that our proposed algorithm is suitable for detection systems with high real-time requirements.