• 제목/요약/키워드: Covariance Matrix Reconstruction

검색결과 4건 처리시간 0.016초

Eigenvalue Gap의 Ratio를 이용한 신호 개수 추정 방법 및 Rayleigh Fading 환경에서의 신호 개수 추정 성능 비교 (Source Enumeration Method using Eigenvalue Gap Ratio and Performance Comparison in Rayleigh Fading)

  • 김태영;이윤성;박찬홍;최영윤;김기선;이동근;이명식;강현진
    • 한국군사과학기술학회지
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    • 제24권5호
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    • pp.492-502
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    • 2021
  • In electronic warfare, source enumeration and direction-of-arrival estimation are important. The source enumeration method based on eigenvalues of covariance matrix from received is one of the most used methods. However, there are some drawbacks such as accuracy less than 100 % at high SNR, poor performance at low SNR and reduction of maximum number of estimating sources. We suggested new method based on eigenvalues gaps, which is named AREG(Accumulated Ratio of Eigenvalues Gaps). Meanwhile, FGML(Fast Gridless Maximum Likelihood) which reconstructs the covariance matrix was suggested by Wu et al., and it improves performance of the existing source enumeration methods without modification of algorithms. In this paper, first, we combine AREG with FGML to improve the performance. Second, we compare the performance of source enumeration and direction-of-arrival estimation methods in Rayleigh fading. Third, we suggest new method named REG(Ratio of Eigenvalues Gaps) to reduce performance degradation in Rayleigh Fading environment of AREG.

Joint Time Delay and Angle Estimation Using the Matrix Pencil Method Based on Information Reconstruction Vector

  • Li, Haiwen;Ren, Xiukun;Bai, Ting;Zhang, Long
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권12호
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    • pp.5860-5876
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    • 2018
  • A single snapshot data can only provide limited amount of information so that the rank of covariance matrix is not full, which is not adopted to complete the parameter estimation directly using the traditional super-resolution method. Aiming at solving the problem, a joint time delay and angle estimation using matrix pencil method based on information reconstruction vector for orthogonal frequency division multiplexing (OFDM) signal is proposed. Firstly, according to the channel frequency response vector of each array element, the algorithm reconstructs the vector data with delay and angle parameter information from both frequency and space dimensions. Then the enhanced data matrix for the extended array element is constructed, and the parameter vector of time delay and angle is estimated by the two-dimensional matrix pencil (2D MP) algorithm. Finally, the joint estimation of two-dimensional parameters is accomplished by the parameter pairing. The algorithm does not need a pseudo-spectral peak search, and the location of the target can be determined only by a single receiver, which can reduce the overhead of the positioning system. The theoretical analysis and simulation results show that the estimation accuracy of the proposed method in a single snapshot and low signal-to-noise ratio environment is much higher than that of Root Multiple Signal Classification algorithm (Root-MUSIC), and this method also achieves the higher estimation performance and efficiency with lower complexity cost compared to the one-dimensional matrix pencil algorithm.

The use of linear stochastic estimation for the reduction of data in the NIST aerodynamic database

  • Chen, Y.;Kopp, G.A.;Surry, D.
    • Wind and Structures
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    • 제6권2호
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    • pp.107-126
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    • 2003
  • This paper describes a simple and practical approach through the application of Linear Stochastic Estimation (LSE) to reconstruct wind-induced pressure time series from the covariance matrix for structural load analyses on a low building roof. The main application of this work would be the reduction of the data storage requirements for the NIST aerodynamic database. The approach is based on the assumption that a random pressure field can be estimated as a linear combination of some other known pressure time series by truncating nonlinear terms of a Taylor series expansion. Covariances between pressure time series to be simulated and reference time series are used to calculate the estimation coefficients. The performance using different LSE schemes with selected reference time series is demonstrated by the reconstruction of structural load time series in a corner bay for three typical wind directions. It is shown that LSE can simulate structural load time series accurately, given a handful of reference pressure taps (or even a single tap). The performance of LSE depends on the choice of the reference time series, which should be determined by considering the balance between the accuracy, data-storage requirements and the complexity of the approach. The approach should only be used for the determination of structural loads, since individual reconstructed pressure time series (for local load analyses) will have larger errors associated with them.

주성분분석을 이용한 기종점 데이터의 압축 및 주요 패턴 도출에 관한 연구 (A Study on the Compression and Major Pattern Extraction Method of Origin-Destination Data with Principal Component Analysis)

  • 김정윤;탁세현;윤진원;여화수
    • 한국ITS학회 논문지
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    • 제19권4호
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    • pp.81-99
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    • 2020
  • 기종점 데이터는 수요 분석 및 서비스 설계를 위해서 대중교통, 도로운영 등 다양한 분야에서 저장 및 활용되고 있다. 최근 빅데이터의 활용성이 증대되면서 기종점 데이터의 분석 및 활용에 대한 수요도 함께 증가하고 있다. 기존의 일반적인 교통 정보 데이터가 수집장비 수(n)에 비례하여 데이터양이 증가(α·n)하는 것과는 다르게, 기종점 데이터는 수집지점 수(n)의 증가에 따라 수집 데이터의 양이 기하급수적으로 증가(α·n2)하는 경향이 있다. 이로 인하여 기종점 데이터를 원시 데이터의 형태로 장기간 저장하고 빅데이터 분석에 활용하는 것은 대용량의 저장 공간이 필요하다는 것을 고려할 때 실용적 대안으로 여겨지지 않고 있다. 이와 함께 기종점 데이터는 0~10 사이의 작은 수요 부분에 패턴화된 형태와 무작위 적인 형태의 데이터가 섞여있어 작은 수요가 그룹화되어 발생하는 주요 패턴을 추출하기에 어려움이 있다. 이러한 기종점 데이터의 저장용량의 한계와 패턴화 분석의 한계를 극복하고자 본 연구에서는 주성분 분석을 활용한 대중교통 기종점 데이터의 압축 및 분석 방법을 제안하였다. 본 연구에서는 서울시와 세종시의 대중교통 이용 데이터를 활용하여 모빌리티 데이터를 분석하고, 모빌리티 기종점 데이터에 포함된 무작위 성향이 높은 데이터를 제거하기 위해 주성분분석 기반의 데이터 압축 및 복원에 관한 연구를 수행하였다. 주성분분석으로 분해된 기종점 데이터와 원데이터를 비교하여 주요한 수요 패턴을 찾고 이를 통해 압축률과 복원율을 높일 수 있는 주성분 범위를 제안하였다. 본 연구에서 분석한 결과, 서울시 기준 1~80, 세종시 기준 1~60까지의 주성분을 사용할 경우 주요 이동 데이터의 손실 없이 기종점 데이터에 포함되어있는 노이즈를 제거하고 데이터를 압축 및 복원이 가능하였다.