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Efficient Multidimensional Harmonic Retrieval: A Hierarchical Signal Separation Framework

IEEE SIGNAL PROCESSING LETTERS 2013年第5期20卷 427-430页

作者： Lin, Chun-Hung Fang, Wen-Hsien Natl Taiwan Univ Sci & Technol Dept Elect & Comp Engn Taipei Taiwan

This paper presents a low-complexity one-dimensional (1-D) Unitary Estimation of Signal Parameters via Rotational Invariance Techniques (ESPRIT)-based algorithm for multidimensional harmonic retrieval (MHR) problems based on an HIerarchical Signal Separation (HISS) technique, which interleaves the parameter estimation and filtering processes. The filtering process not only progressively partitions the signals with close parameters into separate groups, but also reduces the power of the additive noise, both of which entail higher parameter estimation accuracy. The pairing of the estimated parameters is also automatically achieved. Simulations show that the new algorithm provides satisfactory performance compared with previous works but with drastically reduced computations.

关键词： Filtering low-complexity algorithm M-D harmonic retrieval parameter estimation subspace algorithm

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subspace algorithm for blind channel identification and synchronization in single-carrier block transmission systems

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SIGNAL PROCESSING 2008年第2期88卷 296-306页

作者： Tsai, Tzung-Ru Tseng, Der-Feng Natl Taiwan Univ Sci & Technol Dept Elect Engn Taipei 106 Taiwan

A blind channel identification and synchronization method for single-carrier block transmission system over frequency-selective fading channel is proposed. We employ cyclic prefix (CP) insertion to introduce the redundancy at the transmitter side. As a result, the channel impulse response (CIR) could be estimated in a blind fashion by means of subspace algorithm based on second-order statistics through the exploitation of the redundancy. The condition for identifying CIR along with the proof of uniqueness of CIR estimate is provided regardless of CP length relative to channel order as well as data frame size. We further develop a sorting approach to avert timing offset issue in block synchronization. Numerical results presented performance comparison with orthogonal frequency-division multiplexing (OFDM) systems in terms of bit error rate (BER) and channel estimation error. We also compare with traditional zero-padding OFDM systems in terms of the failure rate of block synchronization. (c) 2007 Elsevier B.V. All rights reserved.

关键词： subspace algorithm block transmission blind channel identification block synchronization

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Eigentargets Versus Kernel Eigentargets: Detection of Infrared Point Targets Using Linear and Nonlinear subspace algorithms

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JOURNAL OF INFRARED MILLIMETER AND TERAHERTZ WAVES 2009年第3期30卷 278-293页

作者： Liu, Ruiming Huaihai Inst Technol Sch Elect Engn Lianyungang 222005 Peoples R China

The Eigentargets method, based on the linear principal component analysis (LPCA), has been used successfully to detect infrared point targets. LPCA is based only on the second-order correlations without taking higher-order statistics into account. That results in the limitation of Eigentargets in target detection. This paper extends Eigentargets, a linear subspace method, to kernel Eigentargets, a detection method based on a nonlinear subspace algorithm. Because the kernel Eigentargets is capable of capturing the part of higher-order statistics, the better detection performance can be achieved. Moreover, the Gaussian intensity model is modified to generate training samples of infrared point targets.

关键词： subspace algorithm PCA Eigentargets Kernel PCA Kernel method Kernel Eigentargets Infrared image Point target Target detection

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INTERIOR-POINT METHOD FOR NUCLEAR NORM APPROXIMATION WITH APPLICATION TO SYSTEM IDENTIFICATION

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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2009年第3期31卷 1235-1256页

作者： Liu, Zhang Vandenberghe, Lieven Univ Calif Los Angeles Dept Elect Engn Los Angeles CA 90095 USA

The nuclear norm (sum of singular values) of a matrix is often used in convex heuristics for rank minimization problems in control, signal processing, and statistics. Such heuristics can be viewed as extensions of l(1)-norm minimization techniques for cardinality minimization and sparse signal estimation. In this paper we consider the problem of minimizing the nuclear norm of an affine matrix-valued function. This problem can be formulated as a semidefinite program, but the reformulation requires large auxiliary matrix variables, and is expensive to solve by general-purpose interior-point solvers. We show that problem structure in the semidefinite programming formulation can be exploited to develop more efficient implementations of interior-point methods. In the fast implementation, the cost per iteration is reduced to a quartic function of the problem dimensions and is comparable to the cost of solving the approximation problem in the Frobenius norm. In the second part of the paper, the nuclear norm approximation algorithm is applied to system identification. A variant of a simple subspace algorithm is presented in which low-rank matrix approximations are computed via nuclear norm minimization instead of the singular value decomposition. This has the important advantage of preserving linear matrix structure in the low-rank approximation. The method is shown to perform well on publicly available benchmark data.

关键词： semidefinite programming interior-point methods nuclear norm approximation matrix rank minimization system identification subspace algorithm

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Statistical model-based damage localization: A combined subspace-based and substructuring approach

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STRUCTURAL CONTROL & HEALTH MONITORING 2008年第6期15卷 857-875页

作者： Balmes, E. Basseville, M. Mevel, L. Nasser, H. Zhou, W. IRISA F-35042 Rennes France Ecole Cent Paris MSSMAT F-92295 Chatenay Malabry France Univ Libre Bruxelles Mech Engn & Robot Dept B-1050 Brussels Belgium Harbin Inst Technol Dept Civil Engn Harbin 150006 Heilongjiang Peoples R China CNRS F-75700 Paris France INRIA Sophia Antipolis France

This paper addresses the damage localization problem with a statistical model-based approach applied to vibration-based measurements. Damages are viewed as changes in modal parameters. Damage detection is achieved with a subspace-based residual and a global test, which performs a sensitivity analysis of the residual to the modal parameters, relative to uncertainties in those parameters and noises on the data. Damage localization is achieved by plugging the sensitivities of the modal parameters with respect to structural (finite element model) parameters in this decision framework. For large structures that have thousands of elements, a statistical substructuring method, in which the columns of the latter sensitivity matrix are clustered into different classes, is employed. This paper investigates further the clustering step. Numerical results obtained on the finite element model of a bridge deck with a large number of elements are reported. Copyright (C) 2007 John Wiley & Sons, Ltd.

关键词： damage localization statistical approach subspace algorithm substructuring bridge model

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A deterministic subspace algorithm for blind channel estimation in OFDM systems

A deterministic subspace algorithm for blind channel estimat...

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Conference on Optoelectronic Devices and Integration

作者： Huang, XJ Bi, HJ Yu, SY Shanghai Jiao Tong Univ Inst Image Commun & Informat Proc Shanghai 200030 Peoples R China

ISBN: (纸本)0819455997

Making use of the information redundancy introduced by the cyclic prefix (CP), a new deterministic subspace algorithm for blind channel estimation in OFDM systems is proposed. Considered that only few received signals are used to estimate channel, the algorithm is appealing for transmissions over slowly varying channels. The performances of the proposed algorithm are demonstrated by simulation results.

关键词： OFDM blind estimation subspace algorithm

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Efficient channel blind estimator for multiuser system with conjugate cyclostationarity

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The Journal of China Universities of Posts and Telecommunications 2008年第4期15卷 1-6页

作者： ZHOU Ke CAO Shi-ke ZHANG Li-jun Communication and Information Engineering College Nanjing University of Posts and Telecommunications Nanjing 210003 China

The problem of blind channel identification in a multiuser system is considered in this article. For this purpose, a blind identification algorithm is proposed based on the conjugate cyclostationarity of the received signal. The new approach contains a two-stage identification procedure. First, the separation technique in the cyclic domain is used to separate the second-order cyclic statistics for each user. Second, a subspace algorithm based on the rational subspace theory is exploited to estimate the desired channel. Theoretical analysis and simulation results show that this algorithm is suitable for a multiuser system. Compared with other methods, the algorithm shows good performance even in a bad situation when the number of users is large and the diversity condition is unavailable.

关键词： conjugate cyclostationarity rational subspace theory subspace algorithm

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Wiener Model Identification of Blast Furnace Ironmaking Process

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ISIJ INTERNATIONAL 2008年第12期48卷 1734-1738页

作者： Zeng, Jiu-sun Liu, Xiang-guan Gao, Chuan-hou Luo, Shi-hua Jian, Ling Zhejiang Univ Inst Syst Optimum Tech Hangzhou 310027 Peoples R China Jiangxi Univ Finance & Econ Sch Informat Management Nanchang 331305 Peoples R China China Univ Petr Coll Math & Comp Sci Dongying 257061 Peoples R China

To account for the nonlinearity of blast furnace ironmaking process, a nonlinear Wiener model identification algorithm is presented. The system consists of a linear time invariant (LTI) subsystem followed by a static nonlinearity. The inverse of the nonlinearity is assumed To be a linear combination of known nonlinear basis functions and the linear subspace algorithm is used to identify the model. The inputs to the model are parameters regarded to be most responsible for the fluctuation of thermal state in blast furnace while the output to the model is silicon content in hot metal. The identified Wiener model is then tested on datasets obtained from No. 6 Blast Furnace from Baotou Steel. It is found that the blast furnace of concern is a short memory system, so that for each prediction the Wiener method is retrained. It is shown that the retrained model well improves the predictive accuracy.

关键词： blast furnace iron-making silicon content Wiener model subspace algorithm

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New subspace algorithm for blind channel estimation in OFDM systems

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Journal of Southeast University(English Edition) 2005年第2期21卷 132-135页

作者：黄学军余松煜毕厚杰上海交通大学图像通信与信号处理研究所上海200030

In order to increase the transmission efficiency,a subspace-based algorithm for blind channel estimation using second-order statistics is proposed in orthogonal frequency division multiplexing (OFDM) *** the transmission equation of OFDM systems does not exactly have the desired structure to directly derive a subspace algorithm,the algorithm first divides the OFDM signals into three parts,then,by exploiting the redundancy introduced by the cyclic prefix (CP) in OFDM signals,a new equation with Toeplitz channel matrix is *** on the equation,a new blind subspace algorithm is *** structure eases the derivation of the subspace algorithm and practical *** the algorithm does not change the existing OFDM system,is robust to channel order overdetermination,and the channel zero *** performances are demonstrated by simulation results.

关键词： orthogonal frequency division multiplexing (OFDM) blind channel estimation subspace algorithm

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Improved blind decodings of STBC with unknown and known channel correlation to transmitter

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IEICE TRANSACTIONS ON COMMUNICATIONS 2007年第7期E90B卷 1864-1867页

作者： Gong, Zhengwei Zhang, Taiyi Zhang, Jing Xi An Jiao Tong Univ Dept Informat & Commun Engn Xian Peoples R China

The subspace algorithm can be utilized for the blind detection of space-time block codes (STBC) without knowledge of channel state information (CSI) both at the transmitter and receiver. However, its performance degrades when the channels are correlated. In this letter, we analyze the impact of channel correlation from the orthogonality loss between the transmit signal subspace (TSS) and the statistical noise subspace (SNS). Based on the decoding property of the subspace algorithm, we propose a revised detection in favor of the channel correlation matrix (CCM) only known to the receiver. Then, a joint transmit-receive preprocessing scheme is derived to obtain a further performance improvement when the CCM is available both at the transmitter and receiver. Analysis and simulation results indicate that the proposed methods can significantly improve the blind detection performance of STBC over the correlated channels.

关键词： subspace algorithm revised detection joint transmit-receive preprocessing correlated channels

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