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Asymptotic uniformity of the quantization error for the Ahlfors-David probability measures

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Science China Mathematics 2020年第6期63卷 1039-1056页

作者： Sanguo Zhu School of Mathematics and Physics Jiangsu University of TechnologyChangzhou 213001China

Let μ be an Ahlfors-David probability measure on Rq;therefore,there exist some constants s0> 0 and ε0,C1,C2> 0 such that C1εs0≤μ(B(x,ε))≤C2εs0 for all ε∈(0,ε0) and x ∈ supp(μ).For n≥ 1,let αn be an n-optimal set for μ of order r;furthermore,let {Pa(αn)}a∈αn be an arbitrary Voronoi partition with respect to α*** n-th quantization error en,r(μ) for μ of order r can be defined as en,rr(μ):=∫ d(x,αn)r dμ(x).We define Ia(αn,μ):=∫Pa(αn) d(x,αn)r dμ(x),a ∈αn,and prove that,the three quantities ■ are of the same order as that of 1/nen,rr(μ).Thus,our result exhibits that,a weak version of Gersho’s conjecture holds true for the Ahlfors-David probability measures on Rq.

关键词： quantization error Ahlfors-David probability measure optimal set Voronoi partition asymptotic uniformity

Fault Detection of Networked Control Systems with Uncertain Time-Varying Delay and quantization error

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Journal of Shanghai Jiaotong university(Science) 2011年第5期16卷 513-518页

作者：李斌万一鸣叶昊 Department of Automation Tsinghua University

Problems related to fault detection of networked control systems (NCSs) with both uncertain time-varying delay and quantization error are studied in this paper. A novel model with the form of polytopic uncertainty is given to represent the influences of both the time-varying delay and the quantization error, and then the reference model based method is used to design the residual generator that is robust to both unknown network-induced delay and unknown inputs. A numerical example is also given to illustrate the merits of the presented method. The proposed method can be regarded as an extension of the authors' former work, which can only deal with time-varying delay.

关键词： fault detection networked control systems (NCSs) delay quantization error polytopic uncertainty

The Effect of quantization error on Display Color Gamut Transformation

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光学学报 2003年第S1期23卷 801-802页

作者： Yu Chen, Tiefu Ding Changchun Institute of Optics fine Mechanics and Physics, CAS, P. R. China, 130022,Te1: 86-431-4627053 Changchun Institute of Optics fine Mechanics and Physics CAS P. R. China 130022

Researchers and designers who work with color displays often transform color gamut between two different display devices. This paper demonstrates the effect of quantization error on the transformation based on analyzi... 详细信息

关键词： Effect quantization error Color Gamut

High Capacity Steganographic Method Based upon quantization error of JPEG

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High Capacity Steganographic Method Based upon Quantization ...

2012年计算机应用与系统建模国际会议

作者： Dong Xiuze Liu Shu Zhang Ru Niu Xinxin Wang Lifeng Information Security Center Beijing University of Posts and Telecommunications Electronic and Information Engineering Department Beijing Electronic Science and Technology Institute Key Laboratory of Information Network Security Ministry of Public Security Computer Science and Technology Department Beijing Electronic Science and Technology Institute

Quantizing error during the process of JPEG compression is analyzed, and a new information hiding algorithm is proposed based on Quantizing error of JPEG image. Experimental results show that the proposed algorithm can provide a high capacity information hiding and keep the visual quality well, also the produced stego-image are almost identical to the original cover images.

关键词： quantization error Steganography Cover-Image Stego-Image

Super-resolution DOA estimation for correlated off-grid signals via deep estimator

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Journal of Systems Engineering and Electronics 2022年第6期33卷 1096-1107页

作者： WU Shuang YUAN Ye ZHANG Weike YUAN Naichang Facility Design and Instrumentation Institute China Aerodynamics Research and Development CenterMianyang 621000China State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System National University of Defense TechnologyChangsha 410073China

This paper develops a deep estimator framework of deep convolution networks(DCNs)for super-resolution direction of arrival(DOA)*** addition to the scenario of correlated signals,the quantization errors of the DCN are the major *** our deep estimator framework,one DCN is used for spectrum estimation with quantization errors,and the remaining two DCNs are used to estimate quantization *** propose training our estimator using the spatial sampled covariance matrix directly as our deep estimator’s input without any feature extraction ***,we reconstruct the original spatial spectrum from the spectrum estimate and quantization errors ***,the feasibility of the proposed deep estimator is analyzed in detail in this *** the deep estimator is appropriately trained,it can recover the correlated signals’spatial spectrum fast and *** results show that our estimator performs well in both resolution and estimation error compared with the state-of-the-art algorithms.

关键词： off-grid direction of arrival(DOA)estimation deep convolution network(DCN) correlated signal quantization error super-resolution

Robust detector for range-spread targets in non-Gaussian background

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Journal of Systems Engineering and Electronics 2012年第3期23卷 355-363页

作者： Tao Jian You He Feng Su Dianfa Ping Xiaodong Huang Research Institute of Information Fusion Naval Aeronautical and Astronautical UniversityYantai 264001P.R.China

Based on the target scatterer density, the range-spread target detection of high-resolution radar is addressed in additive non-Gaussian clutter, which is modeled as a spherically invariant random vector. Firstly, for sparse scatterer density, the detection of target scatterer in each range cell is derived, and then an M/K detector is proposed to detect the whole range-spread target. Se- condly, an integrating detector is devised to detect a range-spread target with dense scatterer density. Finally, to make the best of the advantages of M/K detector and integrating detector, a robust detector based on scatterer density （DBSD） is designed, which can reduce the probable collapsing loss or quantization error ef- fectively. Moreover, the density decision factor of DBSD is also determined. The formula of the false alarm probability is derived for DBSD. It is proved that the DBSD ensures a constant false alarm rate property. Furthermore, the computational results indi- cate that the DBSD is robust to different clutter one-lag correlations and target scatterer densities. It is also shown that the DBSD out- performs the existing scatterer-density-dependent detector.

关键词： non-Gaussian clutter range-spread target robust de- tection quantization error collapsing loss target scatterer.

A New 2-D Digital Filter Using a Locally Broadcast Scheme and Its Cascade Form

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A New 2-D Digital Filter Using a Locally Broadcast Scheme an...

Electronic Communication Systems--The 2000 IEEE Asia-Pacific Conference on Circuits and Systems

作者： Lan-Da Van Shing Tenqchen Chi-Hong Chang Wu-Shiung Feng Lab 331 Department of Electrical EngineeringNational Taiwan University Also with Chunghwa Telecom Telecommunication Labs. Department of Electronics Engineering Chang Gung University

ISBN: (纸本)0780362535

＜正＞In this paper,we propose a new two-dimensional（2-D） systolic-array digital filter using locally broadcast scheme that is the hybrid of a modified reordering and another systolic *** architecture occupies locally broadcast,lower quantization error and zero latency without sacrificing the number of multipliers as well as delay elements under the accepted critical *** addition,the widely used 2-D cascaded systolic digital filter can be described and reconstructed by similar methodology.

关键词： two-dimensional digital filters systolic arrays cascade networks filtering theory IIR filters FIR filters 2D digital filter local broadcast scheme cascade form systolic array architecture modified reordering quantization error zero latency multipliers delay elements

Optimal Control of Linear Discrete-Time Systems with quantization Effects

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Optimal Control of Linear Discrete-Time Systems with Quantiz...

第26届中国控制与决策会议

作者： Weizhou Su Jie Chen Minyue Fu Tian Qi Yilin Wu School of Automation Science and Engineering South China University of Technology Hong Kong City University School of Electrical and Computer Engineering Newcastle University

This paper studies optimal control designs for networked linear discrete-time systems with quantization effects and/or fading channel. The quantization errors and/or fading channels are modeled as multiplicative noises. The H2 optimal control in mean-square sense is formulated. The necessary and sufficient condition to the existence of the mean-square stabilizing solution to a modified algebraic Riccati equation（MARE） is presented. The optimal H2 control via state feedback for the systems is designed by using the solution to the MARE. It is a nature extension for the result in standard optimal discrete-time H2 state feedback design. It is shown that this optimal state feedback design problem is eigenvalue problem（EVP） and the optimal design algorithm is developed.

关键词： quantization error Multiplicative noise Optimal control Algebraic Riccati equation.

Modeling and Analysis of Quantized Feedback of Networked Control System

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Modeling and Analysis of Quantized Feedback of Networked Con...

第二十九届中国控制会议

作者： WEN Kai,GENG Zhiyong Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Aerospace Engineering,Peking University,Beijing 100871,P.R.China

This paper studies the problem of stability for a class of networked control systems with the aperiodic transmission delays and the quantization *** the assumptions that the system works under the Try-Once-Discard（TOD）protocol and the transmission delays are bounded,the entire system is modeled as a discrete system interconnected with a 2×2 block uncertainty,which is the typical structure in the robust control *** the approaches in robust control,three less conservative and easy to use results are derived by employing the small gain theorem,the Integral Quadratic Constraint（IQC）method and the μ tool,***,an illustrative example is presented to show the usefulness and effectiveness of the results.

关键词： Networked Control Systems Aperiodic Delay quantization error Robust Control