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New sufficient conditions for strong simultaneous stabilization

AUTOMATICA 1997年第6期33卷 1193-1196页

作者： Abdallah, CT Dorato, P Bredemann, M SANDIA NATL LABS DIV 9222ALBUQUERQUENM 87185

We present sufficient conditions for the existence of a single stable controller to stabilize a set of n SISO plants: P-1, P-2,..., P-n (strong simultaneous stabilization). As is well known, this is equivalent to the existence of a single controller, not necessarily stable, to stabilize n+1 plants (simultaneous stabilization). The basic assumption required in this paper is that all the plants have the same unstable zeros. A practical example of where such an assumption holds is when each plant has the same pure delay, which is approximated by a non-minimum-phase rational function. The results here are applied to examples of this type. (C) Elsevier Science Ltd.

关键词： simultaneous stabilization linear systems interpolation algorithm

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Probe compensated far-field reconstruction by near-field planar spiral scanning

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IEE PROCEEDINGS-MICROWAVES ANTENNAS AND PROPAGATION 2002年第2期149卷 119-123页

作者： Bucci, OM D'Agostino, F Gennarelli, C Riccio, G Savarese, C Univ Naples Federico II Dipartimento Ingn Elettron I-80125 Naples Italy Univ Salerno Dipartimento Ingn Informaz & Ingn Elettr I-84084 Salerno Italy Univ Parthenope Ist Teoria & Tecn Onde Elettromagnet I-80133 Naples Italy

An efficient probe-compensated near-field/far-field transformation technique with planar spiral scanning is proposed, which uses a minimum number of data. A non-redundant sampling representation of the probe output voltage on a planar spiral and a fast. accurate and stable interpolation algorithm are developed. By choosing the angular step of the spiral coincident with the sample spacing needed to interpolate such a voltage on a radial line, it is possible to reconstruct the data required by the standard probe-compensated plane-rectangular near-field/far-field transformation technique. The use of an open-ended cylindrical waveguide as scanning probe allows probe co-rotation to be avoided. Numerical examples are reported, assessing the accuracy and the stability of the far-field reconstruction process.

关键词： Antenna theory scanning probe waveguide theory probe-compensated near-field/far-field transformation technique nonredundant sampling representation open-ended cylindrical waveguide probe-compensated plane-rectangular near-field/far-field transformation technique angular step Single antennas Waveguide and cavity theory probe compensated far-field reconstruction antenna radiation patterns stability probes near-field planar spiral scanning interpolation and function approximation (numerical analysis) Integral transforms in numerical analysis circular waveguides compensation transforms sample spacing probe co-rotation interpolation antenna testing probe output voltage interpolation algorithm

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Acceleration-based FIR filters for trajectory interpolation with different kinematic constraints and target velocities for NC systems

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CONTROL ENGINEERING PRACTICE 2022年 124卷

作者： Huang, Ruei-Yu Cheng, Chung-Wei Tsai, Mi-Ching Lee, An-Chen Natl Yang Ming Chiao Tung Univ Dept Mech Engn 1001 Ta Hsueh Rd Hsinchu 300 Taiwan Natl Chiao Tung Univ Dept Mech Engn Ta Hsueh Rd 1001 Hsinchu 300 Taiwan Natl Cheng Kung Univ Dept Mech Engn Tainan Taiwan

Motion planning is a critical issue in CAD/CAM manufacturing systems. Many interpolation algorithms based on velocity-based finite-impulse-response (FIR) filters have been proposed to interpolate fast and smooth trajectories, in which the reference trajectories are usually composed of a series of linear segments. Those methods, however, possess two main limitations: first, they can only interpolate trajectories that maintain the same target velocity, i.e., the corner error equations will fail if the target velocities are different around different corners. Second, many systems have different kinematic constraints around different corners, but all of the methods can only process fixed and conservative kinematic constraints. In order to overcome these two limitations, an interpolation algorithm based on acceleration-based FIR filters is proposed. By applying FIR filters to the acceleration base, the motion planning process will comprise several individual convolution processes. The filters and constraints in each convolution process can be designed differently. Therefore, the interpolation algorithm can generate trajectories with different target velocities and kinematic constraints because the taps and types of FIR filters can be changed accordingly during the interpolation process. The experiment results show that, by applying the proposed method to a non-linear kinematic system, more than 10% of motion time is saved when compared to a velocity-based method, the performance of the system can be fully utilized, and efficiency can be markedly improved.

关键词： Motion planning interpolation algorithm FIR filter Acceleration/deceleration Corner smoothing

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Efficient interpolation based OMP for sparse channel estimation in underwater acoustic OFDM

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APPLIED ACOUSTICS 2021年 172卷 107606-107606页

作者： Ma, Lu Li, Tao Liu, Songzuo Qiao, Gang Jia, Hanbo Harbin Engn Univ Acoust Sci & Technol Lab Harbin 150001 Peoples R China Harbin Engn Univ Coll Underwater Acoust Engn Harbin 150001 Peoples R China Harbin Engn Univ Minist Ind & Informat Technol Key Lab Marine Informat Acquisit & Secur Harbin 150001 Peoples R China

To achieve higher accuracy of path delay estimation with lower computational complexity, the orthogonal matching pursuit (OMP) method with interpolation algorithm has been adopted for the sparse channel estimation, such as underwater acoustic (UWA) communication channels. For an orthogonal frequency division multiplexing (OFDM) system with uniform pilots, estimating the path delay by OMP in each its iteration is equivalent to the frequency estimation of single-tone signals with discrete Fourier transform (DFT). In this paper, based on the existing frequency estimation algorithms, we propose two novel interpolation based OMP methods for baseband sampling grid and over-sampling grid respectively, aiming at improving path delay estimation efficiency. Moreover, the closed-form of Cramer-Rao lower bound (CRLB) for single path delay estimation is derived to serve as a benchmark for simulations. The performances of the two proposed methods are verified by both simulations and UWA communication experiment in Yellow Sea, China, which show a higher estimation accuracy than that of the traditional OMP method, and the similar estimation performance but lower computational complexity than that of the existing high-accuracy interpolation based OMP method. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Orthogonal matching pursuit (OMP) interpolation algorithm Sparse channel estimation Orthogonal frequency division multiplexing (OFDM) Frequency estimation

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List decoding of Reed-Solomon codes from a Grobner basis perspective

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JOURNAL OF SYMBOLIC COMPUTATION 2008年第9期43卷 645-658页

作者： Lee, Kwankyu O'Sullivan, Michael E. Korea Inst Adv Study Sch Computat Sci Seoul South Korea San Diego State Univ Dept Math & Stat San Diego CA 92182 USA

The interpolation step of Guruswami and Sudan's list decoding of Reed-Solomon codes poses the problem of finding the minimal polynomial of an ideal with respect to a certain monomial order. An efficient algorithm that solves the problem is presented based on the theory of Grobner bases of modules. In a special case, this algorithm reduces to a simple Berlekamp-Massey-like decoding algorithm. (C) 2008 Elsevier Ltd. All rights reserved.

关键词： Reed-Solomon codes list decoding Grobner bases interpolation algorithm

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An extremum-guided interpolation for sparsely sampled photoacoustic imaging

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PHOTOACOUSTICS 2023年 32卷 100535页

作者： Wang, Haoyu Yan, Luo Ma, Cheng Han, Yiping Xidian Univ Hangzhou Inst Technol Hangzhou 311231 Zhejiang Peoples R China Tsinghua Univ Dept Elect Engn Beijing 100084 Peoples R China XIDIAN Univ Sch Phys Xian 710126 Shaanxi Peoples R China

In photoacoustic (PA) reconstruction, spatial constraints or real-time system requirements often result to sparse PA sampling data. For sparse PA sensor data, the sparse spatial and dense temporal sampling often leads to poor signal continuity. To address the structural characteristics of sparse PA signals, a data interpolation algorithm based on extremum-guided interpolation is proposed. This algorithm is based on the continuity of the signal, and can complete the estimation of high sampling rate signals without complex mathematical calculations. PA signal data is interpolated and reconstructed, and the results are evaluated using image quality assessment methods. The simulation and experimental results show that the proposed method performs better than several typical algorithms, effectively restoring image details, suppressing the generation of artifacts and noise, and improving the quality of PA reconstruction under sparse sampling.

关键词： Photoacoustic imaging Signal processing interpolation algorithm Image reconstruction Image quality assessment

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On the Estimation of the Parameters of a Real Sinusoid in Noise

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IEEE SIGNAL PROCESSING LETTERS 2017年第5期24卷 638-642页

作者： Ye, Shanglin Sun, Jiadong Aboutanios, Elias Univ New South Wales Sch Elect Engn & Telecommun Sydney NSW 2052 Australia

We propose and comprehensively analyze a computationally efficient algorithm to estimate the parameters of a real sinusoidal signal in noise. This method uses the fast Fourier Transform and is, therefore, computationally efficient. Accounting for the interference due to the negative spectral component allows the frequency to be estimated very accurately. Estimates of the amplitude and phase are derived in the process and are necessary for the suppression of the leakage. Theoretical analysis establishes that the estimator is asymptotically unbiased and achieves the Cramer-Rao lower bound. Simulation results are presented to verify the theory and demonstrate that the estimation performance is superior to other estimators in the literature.

关键词： Fourier coefficients frequency estimation interpolation algorithm real sinusoid

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Largescale artificial neural network owning function subnets

Largescale artificial neural network owning function subnets

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IEEE International Conference on Mechatronics and Automation

作者： Sun, Aobing Zhang, Annian Wang, Yi Henan Univ Sci & Technol Elect Informat Engn Coll Luoyang 471003 Henan Province Peoples R China Huazhong Univ Sci & Technol Dept Control Sci & Engn Wuhan 430074 Hubei Peoples R China

ISBN: (纸本)1424404657

During the actual application of ANN (Artificial Neural Network), Me sample functions needed to be learned often present subsection attributes. It is very difficult to simulate such kinds of sample functions only with single structure ANNs. We are inspired by the running principle of human's intelligent activities which can only be accomplished with the support of different brain function subareas. The multiple subareas cooperate with each other, and then the high quality intelligent activities of humans can be performed. In this paper a kind of largescale ANN, with heterogeneous function subnets, is proposed in order to overcome the shortages of traditional ANNs. At last, the capability of the largescale ANN is evaluated with a typical example, and its performances are also contrasted with traditional ANNs.

关键词： function area of pallium heterogeneous artificial neural subnet largescale artificial neural network connection subnet interpolation algorithm

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Function method based on multi-faceted three-dimensional digital model of the slope and applied research

Function method based on multi-faceted three-dimensional dig...

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2nd International Conference on Civil Engineering, Architecture and Building Materials (CEABM 2012)

作者： Li, Yongbing Wu, ShunChuan Li, BingLei Univ Sci & Technol Beijing Sch Civil & Environm Engn Beijing 100083 Peoples R China

ISBN: (纸本)9783037854235

With the geographic information technology in a wide range of applications in geotechnical engineering, in geotechnical engineering, the computer visualization technology has also been rapid development. Accurate three-dimensional mathematical model can make exploration data more realistic. In this paper, the three-dimensional visualization technology of computer combined with mathematical elevation model (DEM), and using multi-faceted function interpolation method to establish the accurately and effectively three-dimensional digital model of the slope. The results show that, the use of multi-faceted function interpolation method can effectively solve the slope of three-dimensional digital modeling interpolation problem.

关键词： Multi-faceted function method Slope Three-dimensional digital model GIS interpolation algorithm

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3D Reconstruction of Indoor Environment Using the Kinect Sensor 5

3D Reconstruction of Indoor Environment Using the Kinect Sen...

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Fifth International Conference on Instrumentation & Measurement, Computer, Communication, and Control (IMCCC)

作者： Zhang, Jing Huang, Qian Peng, Xiang Beijing Univ Aeronaut & Astronaut Sch Automat Sci & Elect Engn Beijing Peoples R China

ISBN: (纸本)9781467377232

In recent years, there have been more and more research and applications on three-dimensional model reconstruction. With the help of Kinect, a somatosensory device invented by Microsoft, we realized three-dimensional model reconstruction process. Firstly, this paper introduced the acquisition mechanism of color and depth images. Because the color camera and the depth camera are not coincident, precise alignment of them is presented. Then, the depth image is filtered to remove small gaps using median filtering method. For bigger black portions, the interpolation algorithm is proposed. Finally, with the tridimensional triangularization algorithm, the three-dimensional scene is reconstructed with both color and depth information. The experimental results demonstrate that the proposed algorithm can produce high quality maps.

关键词： Kinect 3D Reconstruction triangularization interpolation algorithm

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