• Title/Summary/Keyword: infinite delay

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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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LASER-INDUCED IGNITION OF REACTIVE SOLIDS WITH ROUGH SURFACE

  • Jae-Ou Chae;Gregory N. Mokhin;Nam-Ki Kim
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1995.05a
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    • pp.157-168
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    • 1995
  • Ignition of a reactive solid with rough surface by constant heat flux is studied. The geometry of surface is represented by a protrusion in shape of cone of infinite length. Ignition time and ignition criterion versus apex angle are determined, with the use of heterogeneous model of ignition. To study the effect of geometry on ignition the results are compared with the known results for the one-dimensional ignition of the semi-infinite body. It is shown, that: a) ignition time depends strongly upon the apex angle and is proportional to the angle to the second power; b) ignition criterion and ignition temperature do not depend strongly on angle. The ignition delay and the energy required for the successful ignition are substantially reduced compared to the one-dimensional case.

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EXISTENCE OF SOLUTIONS FOR DOUBLE PERTURBED IMPULSIVE NEUTRAL FUNCTIONAL EVOLUTION EQUATIONS

  • Vijayakumar, V.;Sivasankaran, S.;Arjunan, M. Mallika
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.15 no.4
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    • pp.253-265
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    • 2011
  • In this paper, we study the existence of mild solutions for double perturbed impulsive neutral functional evolution equations with infinite delay in Banach spaces. The existence of mild solutions to such equations is obtained by using the theory of the Hausdorff measure of noncompactness and Darbo fixed point theorem, without the compactness assumption on associated evolution system. An example is provided to illustrate the theory.

EXISTENCE OF MILD SOLUTIONS IN THE α-NORM FOR SOME PARTIAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

  • Jang, Hyun Ho
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.3
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    • pp.393-401
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    • 2014
  • In this work, we discuss the existence of mild solutions in the ${\alpha}$-norm for some partial functional integrodifferential equations with infinite delay. We assume that the linear part generates an analytic semigroup on a Banach space X and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.

Receding Horizon $H_{\infty}$ Predictive Control for Linear State-delay Systems

  • Lee, Young-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2081-2086
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    • 2005
  • This paper proposes the receding horizon $H_{\infty}$ predictive control (RHHPC) for systems with a state-delay. We first proposes a new cost function for a finite horizon dynamic game problem. The proposed cost function includes two terminal weighting terns, each of which is parameterized by a positive definite matrix, called a terminal weighting matrix. Secondly, we derive the RHHPC from the solution to the finite dynamic game problem. Thirdly, we propose an LMI condition under which the saddle point value satisfies the well-known nonincreasing monotonicity. Finally, we shows the asymptotic stability and $H_{\infty}$-norm boundedness of the closed-loop system controlled by the proposed RHHPC. Through a numerical example, we show that the proposed RHHC is stabilizing and satisfies the infinite horizon $H_{\infty}$-norm bound.

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A method of extending the number of ray paths to predict the characteristics of LOS propagation in an urban microcell (도심지 마이크로셀의 LOS 전파특성 예측을 위한 경로수의 확장법)

  • 김채영;정백호;박지연;목진담
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.2
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    • pp.15-22
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    • 1996
  • This paper presents the generalized method of the prediction of the LOS propagating characteristics in an urban microcell by using theray tracing technique. Whereas the received power is calculated by the finite number of pths, 4~10, on an urban steet, the RMS delay spread is comuted by using the sufficient rays of convergence. To take into account the infinite number of paths the technique of the numbering scheme of image antennas was presented by using the rectangular pulse. As to this the existing restriction of the finitte number of paths was relaxed. based on the method of extending the number of paths and the canyon model the received power and RMS delay spread are computed and their differences according to the number of paths are compared at the frequencies of both 1GHz and 2GHz, respectively.

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EXISTENCE UNIQUENESS AND STABILITY OF NONLOCAL NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSES AND POISSON JUMPS

  • CHALISHAJAR, DIMPLEKUMAR;RAMKUMAR, K.;RAVIKUMAR, K.;COX, EOFF
    • Journal of Applied and Pure Mathematics
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    • v.4 no.3_4
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    • pp.107-122
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    • 2022
  • This manuscript aims to investigate the existence, uniqueness, and stability of non-local random impulsive neutral stochastic differential time delay equations (NRINSDEs) with Poisson jumps. First, we prove the existence of mild solutions to this equation using the Banach fixed point theorem. Next, we demonstrate the stability via continuous dependence initial value. Our study extends the work of Wang, and Wu [16] where the time delay is addressed by the prescribed phase space 𝓑 (defined in Section 3). To illustrate the theory, we also provide an example of our methods. Using our results, one could investigate the controllability of random impulsive neutral stochastic differential equations with finite/infinite states. Moreover, one could extend this study to analyze the controllability of fractional-order of NRINSDEs with Poisson jumps as well.

Numerical Analysis on the Signal Characteristics for Scattered Far-field of Ultrasonic SH-Wave by the Internal Cavity (재료내 기공결함에 의한 SH형 초음파 원거리 산란장의 신호특성에 대한 수치해석)

  • Lee, Jun-Hyeon;Lee, Seo-Il;Park, Yun-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.1 s.173
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    • pp.163-172
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    • 2000
  • In this study, the scattered far-field due to a cavity embedded in infinite media subjected to the incident SH-wave was calculated by the boundary element method. The effects of cavity shape and distance between internal cavity and internal point in infinite media were considered. The scattered far-field of the frequency domain was transformed into the signal of the time domain by using the Inverse Fast Fourier Transform(IFFT). It was found that the amplitude of scattered signal in time domain decreased with the increase of the distance between the detecting points of ultrasonic scattered field and the center of internal cavity in media. In addition, the time delay was clearly found in time domain waveform as the distance between the detecting points of ultrasonic scattered field and the center of internal cavity was gradually increased.

Analysis and Evaluation of the Distributed Control Braking System of Long Freight Car Brakes (장대화물열차의 분산제어 제동 시 연결기에 발생하는 충격력 해석 및 분석)

  • Cho, Byung Jin;Lee, Jeong Jun;Shim, Jae Seok;Koo, Jeong Seo;Mun, Hyung Seok
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.2
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    • pp.65-72
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    • 2019
  • In long freight trains, there is a brake time delay in neighboring freight cars, which causes damage and fractures in the couplers, especially at their knuckle. A problem in the couplers of the cars can cause derailment and damages of human life and property. In this study, maximum forces on the couplers are studied when a long freight car brakes with the brake delay time and coupler gap. We make a dynamic model of 50 freight cars and couplers, applying contact between the couplers and a characteristic curve to express the force and displacement of the buffers using SIMPACK, which is a multi-body dynamics program. We use EN 14531-2, which is a standard of freight car brakes, to verify the dynamic model. Then, we compare the analyzed impact force with the coupler knuckle standard after applying the two carriages of a locomotive in the model based on the dispersed double head control system. The result shows that all coupler gap conditions satisfy the infinite lifetime of the material when the brake delay time is 0.1 second.

Performance Evaluation of Channel Estimation for WCDMA Forward Link with Space-Time Block Coding Transmit Diversity (시공간 블록 부호 송신 다이버시티를 적용한 WCDMA 하향 링크에서 채널 추정기의 성능 평가)

  • 강형욱;이영용;김용석;최형진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.6A
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    • pp.341-350
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    • 2003
  • In this paper, we evaluate the performance of a moving average (MA) channel estimation filter when space-time block coding transmit diversity (STBC-TD) is applied to the wideband direct sequence code division multiple access (WCDMA) forward link. And we present the infinite impulse response (IIR) filter scheme that can reduce the required memory buffer and the channel estimation delay time. This paper also compares the performance between MA filter scheme and IIR filter scheme in various Rayleigh fading channel environments through the bit error rate (BER) and the frame error rate (FER). Extensive computer simulation results show that transmission with STBC-TD provides a significant gain in performance over no transmit diversity technique, particularly at pedestrian speeds. If STBC-TD technique is employed in the channel estimator based on MA filter, it provides considerable performance gains against Rayleigh fading and reduces the optimum filter tap number. Consequently, the channel estimation delay time and the complexity of the receiver are reduced. In addition, the channel estimator based on IIR filter has the advantages such as little memory requirement and no delay time compared to the MA scheme. However, IIR filter coefficients is very sensitive to the mobile speed change and it exerts a serious influence upon the performance. For that reason, it is important to set uP the optimum IIR filter coefficients.