• Title/Summary/Keyword: Time Invariance

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A Covariance Type ARMA Fast Transversal Filter (공분산형 ARMA 고속 Transversal 필터에 관한 연구)

  • Lee, Chul-Heui;Jang, Young-Soo
    • The Journal of the Acoustical Society of Korea
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    • v.11 no.1
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    • pp.67-79
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    • 1992
  • For effective on-line ARMA parameter estimation, a covariance type ARMA fast transversal filter (FTF) algorithm is presented. The proposed algorithm is a covariance type implementation of ELS(Extended Least Squares) estimator and it is a fast time update recursion which is based on the fact that the correlation matrix of ARMA model satisfies the shift invariance property in each sub-block. The geometric approach is used in the derivation of the proposed algorithm. It takes small computational burden of 13N+37 MADPR(Multiplication And Division Per Recursion). Also, AR and MA orders can be independetly and arbitrarily specified.

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DYNAMIC AND CONTROLLABILITY OF A NONLINEAR WASTEWATER TREATMENT PROBLEM

  • Jourani, Abderrahim;Serhani, Mustapha;Boutoulout, Ali
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.883-902
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    • 2012
  • In this work we deal with a nonlinear dynamical system, namely the wastewater treatment model. We proceed to a dynamical analysis of the model. Invariance, boundness, controllability and the sensitivity with respect the initial conditions are studied. On the other hand, using the nonsmooth analysis tools, we look for the viability of the model, that is, the necessary and sufficient conditions under which trajectories move in a suitable time-moving sets, to avoid the washing problem (died of bacteria).

PHASE ANALYSIS FOR THE PREDATOR-PREY SYSTEMS WITH PREY DENSITY DEPENDENT RESPONSE

  • Chang, Jeongwook;Shim, Seong-A
    • The Pure and Applied Mathematics
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    • v.25 no.4
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    • pp.345-355
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    • 2018
  • This paper looks into phase plane behavior of the solution near the positive steady-state for the system with prey density dependent response functions. The positive invariance and boundedness property of the solution to the objective model are proved. The existence result of a positive steady-state and asymptotic analysis near the positive constant equilibrium for the objective system are of interest. The results of phase plane analysis for the system are proved by observing the asymptotic properties of the solutions. Also some numerical analysis results for the behaviors of the solutions in time are provided.

Improvement of Group Delay and Reduction of Computational Complexity in Linear Phase IIR Filters

  • Varasumanta, Saranuwaj;Sookcharoenphol, Dolchai;Sriteraviroj, Uthai;Janjitrapongvej, Kanok;Kanna, Channarong
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.955-959
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    • 2003
  • A technique for realizing linear phase IIR filters has been proposed by Powell-Chau which gives a real-time implementation of H(z-1).H(z), where H(z) is a causal nonlinear phase IIR filter. Powell-Chau system is linear but not timeinvariant system. Therefore, that system has group delay response that exhibits a minor sinusoidal variation superimposed on a constant value. In the signal processing, this oscillation seriously degrade the signal quality. Unfortunately, that system has a large sample delay of 4L and also more computational complexity. Proposed system is present a reduced computational complexity technique by moved the numerator polynomial of H(1/z) out to cascade with causal filter H(z) and remain only all-pole of H(1/z), then applied truncated infinite impulse response to finite with truncated IIR filtel $H_L$(z) and L sample delay to subtract the output sequence from the top and bottom filter. Proposed system is linear time invariance and group delay response and total harmonic distortion are also improved.

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Hardware Implementation of Discrete-Time Cellular Neural Networks Using Distributed Arithmetic (분산연산 방식을 이용한 이산시간 Cellular 신경회로망의 하드웨어 구현)

  • Park, Sung-Jun;Lim, Joon-Ho;Chae, Soo-Ik
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.1
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    • pp.153-160
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    • 1996
  • In this paper, we propose an efficient digital architecture for the discrete-time cellular neural networks (DTCNN's). DTCNN's have the locality and the translation invariance in the templates which determine the patterns of the connection between the cells. Using distributed arithmetic (DA) and the characteristics of DTCNN, we propose a simple implementation of DTCNN. The bus width in the cell-to-cell interconnection is reduced to one bit because of DA's bitwise operation. We implemented the reconfigurable architecture of DTCNN using programmable FPGA.

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Investigation on Vibration Characteristics and Structural Reciprocity of Heunginjimun (흥인지문의 진동특성 및 상반성 분석)

  • Choi, Jae-Sung;Lee, Sung-Kyung;Min, Kyung-Won;Yoon, Weon-Kyu;Kim, Derk-Moon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.4
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    • pp.338-347
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    • 2010
  • Heunginjimun designated as a Treasure No.1 is a two-story wooden structure with 5 bay and 2 bay in its front and side views, respectively. This paper presents an investigation on vibration characteristics of Heunginjimun through both ambient vibration and impact hammer tests. Ambient vibration test was performed to identify the natural frequency of Heunginjimun from the spectrum analysis of time history. Impact hammer test was undertaken to find the frequency of Heunginjimun which is affected by the surrounding traffics and to verify the reciprocal principle for the wooden structural system. Ambient vibration test results of Heunginjimun showed that the natural frequencies in two principal axes 1.5 Hz and 1.1 Hz, respectively. It was confirmed from impact hammer tests for a ground that the frequency of 4.2 Hz is caused by the traffics surrounding Heunginjimun. It was also observed that from the impact hammer test results between two locations in Heunginjimun that the transfer functions measured from two corresponding locations coincided well with each other. This result shows that the wooden structural system is globally linear, and the reciprocal principle is established.

Real-time Denoising Using Wavelet Thresholding and Total Variation Algorithm (웨이블릿 임계치와 전변분 알고리즘을 사용한 실시간 잡음제거)

  • 이진종;박영석;하판봉;정원용
    • Journal of the Institute of Convergence Signal Processing
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    • v.4 no.1
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    • pp.27-35
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    • 2003
  • Because of the lack of translation invariance of wavelet basis, traditional wavelet thresholding denoising leads to pseudo-Gibbs phenomena in the vicinity of discontinuities of signal. In this paper, in order to reduce the pseudo-Gibbs phenomena, wavelet coefficients are thresholded and reconstruction algorithm is implemented through minimizing the total variation of denoising signal using subgradient descent algorithm. Most of experiments were performed under the non-real-time and real-time environments. In the case of non-real-time experiments, the algorithm that this paper proposes was found more effective than that of wavelet hard thresholding denoising by 2.794㏈(SNR) based on the signal to noise ratio. And lots of pseudo-Gibbs phenomena was removed visually in the vicinity of discontinuities. In the case of real-time experiments, the number of iteration was restricted to 60 times considering the performance time. It took 0.49 seconds and most of the pseudo-Gibbs phenomena were also removed.

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Camera Extrinsic Parameter Estimation using 2D Homography and LM Method based on PPIV Recognition (PPIV 인식기반 2D 호모그래피와 LM방법을 이용한 카메라 외부인수 산출)

  • Cha Jeong-Hee;Jeon Young-Min
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.43 no.2 s.308
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    • pp.11-19
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    • 2006
  • In this paper, we propose a method to estimate camera extrinsic parameter based on projective and permutation invariance point features. Because feature informations in previous research is variant to c.:men viewpoint, extraction of correspondent point is difficult. Therefore, in this paper, we propose the extracting method of invariant point features, and new matching method using similarity evaluation function and Graham search method for reducing time complexity and finding correspondent points accurately. In the calculation of camera extrinsic parameter stage, we also propose two-stage motion parameter estimation method for enhancing convergent degree of LM algorithm. In the experiment, we compare and analyse the proposed method with existing method by using various indoor images to demonstrate the superiority of the proposed algorithms.

Frequency translation approach for transmission beamforming in FDD wireless communication systems with basestation arrays (기지국 안테나 배열을 이용한 FDD 방식의 무선통신 시스템에서 송신 빔 형성을 위한 주파수 변환 방식)

  • ;Shawn P.Stapleton
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.5
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    • pp.1-14
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    • 1997
  • We consider transmission beamforming techniques for frequency-division-duplex (FDD) wireless communication systems using adaptive arrays to improve the signal quality of the array transmission link. We develop a simple effective transmission beamforming technique based on an approximated frequency tranlsation (AFT) to derive the tranmsiion beamforming weights from the uplink channel vector. This technique exploits the invariance of the short-time averaged fast fading statistics to small frequency translations. A simple approximate relationship that relates the transmission channel vector to the reception channel vector is derived. We have developed its practical alternative in which the frequency translation of the channel vector is performed at the principal angle of arrival (AOA) of the u;link synthestic angular spectrum instead of the mean AOA. To analyze the performance of the proposed methods, we consider the power loss incurred by applying the estimated channel vector instead of the true downlink channel vector. The performance is analyzed as a function of the mean AOA, the angular spread, the number of elements, frequncy difference between the uplink and the downlink, and the angle distribution. Their performance is also compared with that of the direct weight reuse method and the AOA based methods.

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Stability Analysis for the Deployment of Unmanned Surface Vehicles

  • Dharne, Avinash G.;Lee, Jaeyong
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.2
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    • pp.159-165
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    • 2015
  • Motion control schemes are generally classified into three categories (point stabilization, trajectory tracking, and path following). This paper deals with the problem which is associated with the initial deployment of a group of Unmanned Surface Vehicle (USVs) and corresponding point stabilization. To keep the formation of a group of USVs, it is necessary to set the relationship between each vehicle. A forcing functions such as potential fields are designed to keep the formation and a graph Laplacian is used to represent the connectivity between vehicle. In case of fixed topology of the graph representing the communication between the vehicles, the graph Laplacian is assumed constant. However the graph topologies are allowed to change as the vehicles move, and the system dynamics become discontinuous in nature because the graph Laplacian changes as time passes. To check the stability in the stage of deployment, the system is modeled with Kronecker algebra notation. Filippov's calculus of differential equations with discontinuous right hand sides is then used to formally characterize the behavior of USVs. The stability of the system is analyzed with Lyapunov's stability theory and LaSalle's invariance principle, and the validity is shown by checking the variation of state norm.