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39th Chinese Control Conference (CCC)

作者： Liu, Yu Zhao, Ruijie Wang, Chong Shandong Univ Sch Mech Elect & Informat Engn Weihai 264209 Shandong Peoples R China

ISBN: (纸本)9789881563903

The design of variable fractional delay (VFD) finite-impulse response (FIR) filters with group delay error constraints in the least squares (LS) sense is investigated in this paper. Most of methods in the literature for designing VFD filters with constraints are based on vector variables, leading to a heavy computational load. To solve this problem more efficiently, we propose a matrix-based iterative constrained least squares (CLS) algorithm. By linearizing the highly nonlinear constraints as linear ones, the proposed algorithm transforms the original nonconvex design problem into a series of CLS subproblems. Each CLS subproblem is solved by using an efficient matrix-based active-set method. As a result, the proposed algorithm can fast converge to the LS solution with described group delay errors. Finally, design examples are provided to show the good performance of the proposed algorithm.

关键词： Variable Fractional Delay FIR Filters Constrained Least Squares matrix-based algorithm Active-set Method

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Minimax Design of 2D FIR Half-Band Filters Using an Efficient matrix-based IRLS algorithm

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JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS 2022年第3期31卷 2250054-2250054页

作者： Zhang, Xiaoxue Zhao, Ruijie Liu, Yu Shandong Univ Sch Mech Elect & Informat Engn Weihai 264209 Peoples R China

This paper considers the minimax design of two-dimensional (2D) finite impulse response (FIR) half-band filters. First, the design problem is formulated in a matrix form, where the half-band constraints are expressed as a pair of matrix equations. By matrix transformations, the constrained minimax problem is transformed into an unconstrained one. Then, we propose an efficient iterative reweighted least squares (IRLS) algorithm to solve this problem. The weighted least squares (WLS) subproblems arising from the IRLS algorithm are solved using a generalized conjugate gradient (GCG) algorithm. Moreover, the GCG algorithm is guaranteed to converge in a finite number of iterations. In the proposed algorithm, the design coefficients of filters are solved in their matrix form, leading to a great saving in computations and memory space. Design examples and comparisons with existing methods are provided to demonstrate the effectiveness and efficiency of the proposed algorithm.

关键词： 2D FIR half-band filters conjugate gradient method IRLS technique minimax design matrix-based algorithm

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A matrix-based algorithm for the LS Design of Variable Fractional Delay FIR Filters with Constraints

A Matrix-based Algorithm for the LS Design of Variable Fract...

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第三十九届中国控制会议

作者： Yu Liu Ruijie Zhao Chong Wang School of Mechanical Electrical ＆ Information Engineering Shandong University

The design of variable fractional delay（VFD） finite-impulse response（FIR） filters with group delay error constraints in the least squares（LS） sense is investigated in this paper. Most of methods in the literature for designing VFD filters with constraints are based on vector variables, leading to a heavy computational load. To solve this problem more efficiently, we propose a matrix-based iterative constrained least squares（CLS） algorithm. By linearizing the highly nonlinear constraints as linear ones, the proposed algorithm transforms the original nonconvex design problem into a series of CLS *** CLS subproblem is solved by using an efficient matrix-based active-set method. As a result, the proposed algorithm can fast converge to the LS solution with described group delay errors. Finally, design examples are provided to show the good performance of the proposed algorithm.

关键词： Variable Fractional Delay FIR Filters Constrained Least Squares matrix-based algorithm Active-set Method

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A matrix-based IRLS algorithm for the least lp-norm design of 2-D FIR filters

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MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING 2019年第1期30卷 1-15页

作者： Zhao, Ruijie Lai, Xiaoping Hong, Xiaoying Lin, Zhiping Shandong Univ Sch Mech Elect & Informat Engn Weihai 264209 Peoples R China Nanyang Technol Univ Sch Elect & Elect Engn Singapore 639798 Singapore Hangzhou Dianzi Univ Inst Informat & Control Hangzhou 310018 Zhejiang Peoples R China

Fast design of two-dimensional FIR filters in the least lp-norm sense is investigated in this brief. The design problem is first formulated in a matrix form and then solved by a matrix-based iterative reweighted least squares algorithm. The proposed algorithm includes two loops: one for updating the weighting function and the other for solving the weighted least squares (WLS) subproblems. These WLS subproblems are solved using an efficient matrix-based WLS algorithm, which is an iterative procedure with its initial iterative matrix being the solution matrix in the last iteration, resulting in a considerable CPU-time saving. Through analysis, the new algorithm is shown to have a lower complexity than existing methods. Three design examples are provided to illustrate the high computational efficiency and design precision of the proposed algorithm.

关键词： 2-D FIR filter Least lp-norm design matrix-based algorithm Iterative reweighted least squares algorithm

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A matrix-based algorithm for the Minimax Design of 2-D FIR Filters with Frequency Constraints

A Matrix-based Algorithm for the Minimax Design of 2-D FIR F...

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第37届中国控制会议

作者： Xiaoxue Zhang Ruijie Zhao School of Mechanical Electrical and Information EngineeringShandong University

An efficient algorithm is proposed for the minimax design of two-dimensional（2-D） linear-phase FIR filters with frequency inequality constraints. The method converts the constrained minimax design problem into a series of unconstrained weighted minimax design problems, where the weighting function is appropriately updated in each iteration. Further, these unconstrained weighted minimax design problems are solved efficiently using a matrix-based iterative reweighted least-squares（IRLS） algorithm. Moreover, the proposed algorithm is guaranteed to converge to the optimal solution provided it exists. Finally,a design example and comparison with existing method are provided to demonstrate the effectiveness and efficiency of the proposed method.

关键词： 2-D FIR filters minimax design frequency inequality constraints matrix-based algorithm

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A matrix-based algorithm for the CLS Design of Centrally Symmetric 2-D FIR Filters

A Matrix-based Algorithm for the CLS Design of Centrally Sym...

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IEEE International Symposium on Circuits and Systems (ISCAS)

作者： Hong, Xiaoying Zhao, Ruijie Lai, Xiaoping Cao, Jiuwen Shandong Univ Sch Mech & Elect & Informat Engn Weihai 264209 Peoples R China Hangzhou Dianzi Univ Inst Informat & Control Hangzhou 310018 Zhejiang Peoples R China

ISBN: (纸本)9781479953417

An efficient algorithm is presented in this paper for the constrained least-squares design of centrally symmetric two dimensional (2-D) finite impulse response filters. The problem is basically a quadratic programming with positive-definite quadratic cost and linear constraint functions. This paper formulates both the cost and constraint functions in terms of two coefficient matrices of small size and then presents an efficient algorithm to solve the quadratic programming directly for the two coefficient matrices rather than vectorizing it first as in conventional methods. Design example and comparisons demonstrate the effectiveness and high efficiency of the proposed algorithm.

关键词： 2-D FIR filter centrally symmetric filter constrained least-squares design matrix-based algorithm

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An Efficient matrix-based algorithm for the WLS Design of 2-D FIR Filters with Centrally Symmetric or Antisymmetric Response 34

An Efficient Matrix-based Algorithm for the WLS Design of 2-...

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34th Chinese Control Conference (CCC)

作者： Zhao, Ruijie Hong, Xiaoying Shandong Univ Sch Mech Elect & Informat Engn Weihai 264209 Peoples R China

ISBN: (纸本)9789881563897

A new matrix-based algorithm is presented for the weighted least squares (WLS) design problem of two-dimensional (2-D) finite impulse response (FIR) filters with centrally (anti) symmetric response. Firstly, the optimality condition of such optimization problem is obtained and expressed as a pair of matrix equations involving two matrix variables. Then, by introducing a parameter, we develop a matrix-based iterative algorithm to solve the optimality condition equations. Further, the convergence of the algorithm is established by using linear operators theory. Because matrix iterative operations are used and the coefficients of filters are in their natural matrix forms, great savings in computations and memory space required are achieved. Finally, a design example and comparisons to existing methods are provided to illustrate the effectiveness and efficiency of the proposed algorithm.

关键词： 2-D FIR Filter Centrally Symmetric or Antisymmetric Response matrix-based algorithm Weighted Least Squares Design

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A fast design algorithm for elliptic-error and phase-error constrained LS 2-D FIR filters

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MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING 2016年第2期27卷 477-491页

作者： Hong, Xiaoying Lai, Xiaoping Zhao, Ruijie Shandong Univ Sch Mech Elect & Informat Engn Weihai 264209 Peoples R China Hangzhou Dianzi Univ Inst Informat & Control Hangzhou 310018 Zhejiang Peoples R China

Two-dimensional (2-D) nonlinear-phase finite impulse response (FIR) filters have found many applications in signal processing and communication systems. This paper considers the elliptic-error and phase-error constrained least-squares design of 2-D nonlinear-phase FIR filters, and develops a matrix-based algorithm to solve the design problem directly for the filter's coefficient matrix rather than vectorizing it first as in the conventional methods. The matrix-based algorithm makes the design to consume much less design time than existing algorithms. Design examples and comparisons with existing methods demonstrate the effectiveness and high efficiency of the proposed design method.

关键词： 2-D nonlinear-phase FIR filters Elliptic-error and phase-error constrained least-squares design matrix-based algorithm

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Bilinear discriminant feature line analysis for image feature extraction

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ELECTRONICS LETTERS 2015年第4期51卷 336-337页

作者： Yan, Lijun Li, Jun-Bao Zhu, Xiaorui Pan, Jeng-Shyang Tang, Linlin Harbin Inst Technol Shenzhen Grad Sch Shenzhen Peoples R China Harbin Inst Technol Harbin 150006 Peoples R China

A novel bilinear discriminant feature line analysis (BDFLA) is proposed for image feature extraction. The nearest feature line (NFL) is a powerful classifier. Some NFL-based subspace algorithms were introduced recently. In most of the classical NFL-based subspace learning approaches, the input samples are vectors. For image classification tasks, the image samples should be transformed to vectors first. This process induces a high computational complexity and may also lead to loss of the geometric feature of samples. The proposed BDFLA is a matrix-based algorithm. It aims to minimise the within-class scatter and maximise the between-class scatter based on a two-dimensional (2D) NFL. Experimental results on two-image databases confirm the effectiveness.

关键词： feature extraction image classification matrix algebra 2D NFL BDFLA NFL-based subspace algorithms between-class scatter bilinear discriminant feature line analysis image classification task image feature extraction image samples matrix-based algorithm nearest feature line two-dimensional NFL two-image databases within-class scatter

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Introduction and Analysis of Optimal Routing algorithm in Benes Networks

Introduction and Analysis of Optimal Routing Algorithm in Be...

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International Symposium on Medical and Rehabilitation Robotics and Instrumentation (MRRI)

作者： Karimi, Abbas Aghakhani, Kiarash Manavi, Seyed Ehsan Zarafshan, Faraneh Al-Haddad, S. A. R. Islamic Azad Univ Arak Branch Fac Engn Dept Comp Engn Arak Iran Islamic Azad Univ Arak Branch Young Researchers & Elite Club Arak Iran Univ Putra Malaysia Fac Engn Dept Comp & Commun Syst Engn Serdang Malaysia Islamic Azad Univ Hamedan Branch Fac Engn Dept Comp Engn Hamadan Iran

In a total grouping of dynamic interconnection networks, safe and quick routing is so important. The Benes network is one of the dynamic interconnection networks that are good for telephone networks, multi-processor systems, parallel computers, ATM switches and Navigation and radio communication between robots. In this paper, two models of Benes routing algorithm is introduced then compare them with looping;Hassan-Jose and fast algorithms in the speed of running time and implementation then introduce the optimum algorithm. (C) 2014 The Authors. Published by Elsevier B.V.

关键词： Benes Network Interconnection Networks matrix-based algorithm Robotics Routing algorithm

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