• Title/Summary/Keyword: a recursive sequence

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Perpendicular Magnetic Recording Channel Equalization Using a Bilinear Recursive Polynomial System (2차 재귀 다항식 시스템을 이용한 수직 자기 기록 채널 등화 기법)

  • Cho, Hyun-Min;Kong, Gyu-Yeol;Choi, Soo-Yong
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.279-280
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    • 2008
  • In order to improve the performance and simplify the structure of the conventional detectors in high density magnetic channels, a new equalizer based on bilinear recursive polynomial (BRP) models, which uses the previously estimated sequence, is proposed. The performance is compared with the conventional equalizers and the maximum likelihood sequence detection (MLSD) bound.

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Adaptive Linear Predictive Coding of Time-varying Images Using Multidimensional Recursive Least-squares Ladder Filters

  • Nam Man K.;Kim Woo Y.
    • Journal of the military operations research society of Korea
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    • v.13 no.1
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    • pp.1-18
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    • 1987
  • This paper presents several adaptive linear predictive coding techniques based upon extension of recursive ladder filters. A 2-D recursive ladder filter is extended to a 3-D case which can adaptively track the variation of both spatial and temporal changes of moving images. Using the 2-D/3-D ladder filter and a previous farme predictor, two types of adaptive predictor-control schemes are proposed in which the prediction error at each pel can be obtained at or close to a minimum level. We also investigate several modifications of the basic encoding methods. Performance of the 2-D/3-D ladder filters, their adaptive control schemes, and variations in coding methods are evaluated by computer simulations on a real sequence and compared to the results of motion compensation and frame differential coders. As a validity test of the ladder filters developed, the error signals for the different predictors are compared and evaluated.

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Efficient Implementation of a Pseudorandom Sequence Generator for High-Speed Data Communications

  • Hwang, Soo-Yun;Park, Gi-Yoon;Kim, Dae-Ho;Jhang, Kyoung-Son
    • ETRI Journal
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    • v.32 no.2
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    • pp.222-229
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    • 2010
  • A conventional pseudorandom sequence generator creates only 1 bit of data per clock cycle. Therefore, it may cause a delay in data communications. In this paper, we propose an efficient implementation method for a pseudorandom sequence generator with parallel outputs. By virtue of the simple matrix multiplications, we derive a well-organized recursive formula and realize a pseudorandom sequence generator with multiple outputs. Experimental results show that, although the total area of the proposed scheme is 3% to 13% larger than that of the existing scheme, our parallel architecture improves the throughput by 2, 4, and 6 times compared with the existing scheme based on a single output. In addition, we apply our approach to a $2{\times}2$ multiple input/multiple output (MIMO) detector targeting the 3rd Generation Partnership Project Long Term Evolution (3GPP LTE) system. Therefore, the throughput of the MIMO detector is significantly enhanced by parallel processing of data communications.

BERRY-ESSEEN BOUNDS OF RECURSIVE KERNEL ESTIMATOR OF DENSITY UNDER STRONG MIXING ASSUMPTIONS

  • Liu, Yu-Xiao;Niu, Si-Li
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.343-358
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    • 2017
  • Let {$X_i$} be a sequence of stationary ${\alpha}-mixing$ random variables with probability density function f(x). The recursive kernel estimators of f(x) are defined by $$\hat{f}_n(x)={\frac{1}{n\sqrt{b_n}}{\sum_{j=1}^{n}}b_j{^{-\frac{1}{2}}K(\frac{x-X_j}{b_j})\;and\;{\tilde{f}}_n(x)={\frac{1}{n}}{\sum_{j=1}^{n}}{\frac{1}{b_j}}K(\frac{x-X_j}{b_j})$$, where 0 < $b_n{\rightarrow}0$ is bandwith and K is some kernel function. Under appropriate conditions, we establish the Berry-Esseen bounds for these estimators of f(x), which show the convergence rates of asymptotic normality of the estimators.

A Study on Analysis of Pseudo Noise Generator in Position Location Reporting System by W.F (Walsh 함수에 의한 PLR System에서의 의사잡음발생기 해석에 관한 연구)

  • An, Du-Su;Lee, Jae-Chun;Park, Jun-Hun
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.1622-1624
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    • 1987
  • In general, pseudo noise generator(PNG) used for PLR System consists of linear feedback shift register. Based on a W.F. representation of shift registers, a method for analyzing operational characters & sequence of PNG are studied. PNG is characterized by the time-recursive equation & PNG sequence is analyzed by the output state variable equation. Methods studied in this paper are illustrated by appropriate example.

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State Estimation and Control in a Network for Vehicle Platooning Control (차량 군집주행을 위한 제어 네트워크의 변수 추정 및 제어)

  • Choi, Jae-Weon;Fang, Tae-Hyun;Kim, Young-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.8
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    • pp.659-665
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    • 2000
  • In this paper a platoon merging control system is considered as a remotely located system with state represented by a stochastic process. in the system it is common to encounter situations where a single decision maker controls a large number of subsystems and observation and control signals are sent over a communication channel with finite capacity and significant transmission delays. Unlike a classical estimation problem where the observation is a continuous process corrupted by additive noise there is a constraint that the observation must be coded and transmitted over a digital communication channel with fintie capacity. A recursive coder-estimator sequence is a state estimation scheme based on observations transmitted with finite communication capacity constraint. in this paper we introduce a stochastic model for the lead vehicle in a platoon of vehicles in a lane considering the angle between the road surface and a horizontal plane as a stochastic process. In order to merge two platoons the lead vehicle of the following platoon is controlled by a remote control station. Using the observation transmitted over communication channel the remote control station designs the feedback controller. The simulation results show that the intervehicle spacings and the deviations from the desired intervehicle spacing are well regulated.

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Design of a Recursive Structure-based FIR Digital Filter (재귀 구조에 기반한 FIR 디지털 필터의 설계)

  • Jae-Jin Lee;David Tien;Gi-Yong Song
    • Journal of the Institute of Convergence Signal Processing
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    • v.5 no.2
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    • pp.159-164
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    • 2004
  • This paper proposes a new digital filter implementation which adopts an identical structure at both behavioral and logic level in top-down design. This methodology is based on the observation that multiplication is a form of convolution and carrying, and therefore multiplication is implemented with the same structure as that of a convolution in a recursive manner at the logic level. In order to demonstrate a recursive structure-based FIR digital filter, we select L-tap transposed and systolic FIR filters, and implement them to have a single structure. The proposed filter design becomes regular and modular because of the recursive adoption of a single structure for convolutions, and is very compact in that it needs only two 1-bit I/O ports in addition to significant improvement on hardware complexity without time penalty on the output sequence.

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Vehicle Platooning Remote Control via State Estimation in a Communication Network (통신 네트워크에서 상태 추정에 의한 군집병합의 원격제어)

  • 황태현;최재원;김영호
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.192-192
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    • 2000
  • In this paper, a platoon merging is considered as a remote-controlled system with the state represented by a stochastic process. In this system, it becomes to encounter situations where a single decision maker controls a large number of subsystems, and observation and control signals are sent over a communication channel with finite capacity and significant transmission delays. Unlike classical estimation problem in which the observation is a continuous process corrupted by additive noise, there is a constraint that the observation must be coded and transmitted over a digital communication channel with finite capaci쇼. A recursive coder-estimator sequence is a state estimation scheme based on observations transmitted with finite communication capacity constraint. Using the coder-estimator sequence, the remote control station designs a feedback controller. In this paper, we introduce a stochastic model for the lead vehicle in a platoon of vehicles considering the angle between a road surface and a horizontal plane as a stochastic process. The simulation results show that the inter-vehicle distance and the deviation from the desired inter-vehicle distance are well regulated.

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ON THE RECURSIVE SEQUENCE $x_{n+1}=\frac{a+bx_{n-1}}{A+Bx^k_n}$

  • Ahmed, A. M.;El-Owaidy, H. M.;Hamza, Alaa E.;Youssef, A. M.
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.275-289
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    • 2009
  • In this paper, we investigate the global behavior of the difference equation $x_{n+1}\;=\;\frac{a+bx_{n-1}}{A+Bx^k_n}$, n=0,1,..., where a,b,$B\;{\in}\;[0,\infty)$ and A, $k\;{\in}\;(0,\infty)$ with non-negative initial conditions.

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