• Title/Summary/Keyword: Linear Shift

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MEROMORPHIC FUNCTION PARTIALLY SHARES SMALL FUNCTIONS OR VALUES WITH ITS LINEAR c-SHIFT OPERATOR

  • Banerjee, Abhijit;Maity, Sayantan
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1175-1192
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    • 2021
  • In this paper, we have studied on the uniqueness problems of meromorphic functions with its linear c-shift operator in the light of partial sharing. Our two results improve and generalize two very recent results of Noulorvang-Pham [Bull. Korean Math. Soc. 57 (2020), no. 5, 1083-1094] in some sense. In addition, our other results have improved and generalized a series of results due to Lü-Lü [Comput. Methods Funct. Theo. 17 (2017), no. 3, 395-403], Zhen [J. Contemp. Math. Anal. 54 (2019), no. 5, 296-301] and Banerjee-Bhattacharyya [Adv. Differ. Equ. 509 (2019), 1-23]. We have exhibited a number of examples to show that some conditions used in our results are essential.

Layered Nonlinear feed-forward Sequence Generator (계층 구조의 비선형 피드포워드 수열 발생기)

  • 은유창;홍윤표;진석용;송홍엽
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.5C
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    • pp.595-600
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    • 2004
  • In this paper, we propose a new simple scheme of layered nonlinear feedforward logic (NLFFL) overlaid on a linear feedback shift resistor (LFSR) to generate pseudonoise sequences, which have good balance property and large linear complexity. This method guarantee noiselike statistics without any designed connection scheme e.g. Langford arrangement.

An alleviant technique for solving III-Conditioned Linear Systems Using Spectral Adaptive Mapping (스펙트럼 적응 사상을 이용한 선형시스템의 불량조건 완화기법)

  • Chun, Jae-Woong;Cho, Ki-Seon;Park, Jong-Bae;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.110-112
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    • 2003
  • This paper presents an alleviant technique for solving ill-conditioned linear systems using spectral adaptive mapping, which is based on spectral mapping theorem. The conventional approaches to solve the ill-conditioned linear systems are divided into reformulation and alleviant technique. So far, the alleviant technique is evaluated the most effective one. In this paper, an adaptive mapping of spectrum is adopted to alleviate the condition number of ill-conditioned linear systems. A shift constant, which is a dominant factor of the spectral adaptive mapping that are proposed, is assessed by the system spectrum. The proposed spectral adaptive mapping technique is tested to demonstrated the validation on several size Hilbert matrices and small scale power systems, which are provide the promising results.

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Statistical comparison of morphological dilation with its equivalent linear shift-invariant system:case of memoryless uniform soruces (무기억 균일 신호원에 대한 수리 형태론적인 불림과 등가 시스템의 통계적 비교)

  • 김주명;최상신;최태영
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.2
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    • pp.79-93
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    • 1997
  • This paper presents a linear shift-invariant system euqivalent to morphological dilation for a memoryless uniform source in the sense of the power spectral density function, and comares it with dialtion. This equivalent LSI system is found through spectral decomposition and, for dilation and with windwo size L, it is shown to be a finite impulse response filter composed of L-1 delays, L multipliers and three adders. Th ecoefficients of the equivalent systems are tabulated. The comparisons of dilation and its equivalent LSI system show that probability density functions of the output sequences of the two systems are quite different. In particular, the probability density functon from dilation of an independent and identically distributed uniform source over the unit interval (0, 1) shows heavy probability in around 1, while that from the equivalent LSI system shows probability concentration around themean vlaue and symmetricity about it. This difference is due to the fact that dilation is a non-linear process while the equivalent system is linear and shift-ivariant. In the case that dikation is fabored over LSI filters in subjective perforance tests, one of the factors can be traced to this difference in the probability distribution.

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Generalized Control Procedure for a Process Subject to Linear Shift

  • Kim, Hang Rae;Jang, Joong Soon
    • Journal of Korean Society for Quality Management
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    • v.12 no.2
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    • pp.6-10
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    • 1984
  • A model for obtaining optimal resetting period and optimal target value of the process quality level is proposed when the quality characteristic is subject to a linear shift in mean. Different sales conditions are considered where good items can he sold at a regular price and bad items at a discounted one. Some numerical examples are also given.

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Determination of the Optimal Target Values for a Canning Process with Linear Shift in the Mean (평균이 변하는 충전공정의 최적 목표치의 결정)

  • Lee, Min-Goo;Bai, Do-Sun
    • Journal of Korean Institute of Industrial Engineers
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    • v.20 no.1
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    • pp.3-13
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    • 1994
  • The problem of selecting the optimal target values in a canning process is considered for situations where there is a linear shift in the mean of the content of a can which is assumed to be normally distributed with known variance. The target values are initial process mean, length of resetting cycle and controllable upper limit. Profit models are constructed which involve give-away, rework, and resetting costs. Methods of finding the optimal target values are presented and a nemerical example is given.

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UTLIZIATION OF RADARSAT FOR FORECASTING OIL SLICKT RAJECTORY MOVEMENT

  • Marghany, Maged
    • Proceedings of the KSRS Conference
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    • 2003.11a
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    • pp.435-437
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    • 2003
  • This study presents work to utilize RADARSAT SAR image for forecast oil slick trajectory movement. The fractal dimension algorithm used to detect oil slick. The Doppler frequency shift and quasi-linear model was used to simulate a current pattern from RADARSAT image. The Fay’s algorithm of oil slick spreading was developed based on a Doppler frequency shift model. Thus, the study shows that fractal dimension algorithm discriminated the oil slick from the surrounding water features. The quasi-linear model shows that the current pattern can be simulated from single RADARSAT image. The oil slick trajectory model shows that after 48 hrs, the oil slick parcels deposited along the coastal waters.

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Shifted Linear Interpolation with an Image-Dependent Parameter (영상에 종속적인 매개변수를 갖는 이동 선형 보간법)

  • Park, Do-Young;Yoo, Hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.10
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    • pp.2425-2430
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    • 2013
  • This paper presents an shifted linear interpolation method with an image-dependent parameter. The previous shifted linear interpolation proposed the optimal shift parameter of 0.21, which is calculated by spectrum analysis of the shifted linear interpolation kernel. However, the parameter can be different if we takes an input image spectrum into account. Thus, we introduce an image-dependent parameter. An experiment shows the best shift parameter is 0.19 in average for real images. Also, simulation results indicate the proposed method is superior to the existing shifted linear interpolation as well as conventional methods such as linear interpolation and cubic convolution interpolation in terms of the subjective and objective image quality.

Preliminary Study on Magnetic Resonance Temperature Measurement using Brain-Metabolite Phantom (뇌 대사물질 팬텀을 이용한 뇌의 자기공명 온도측정법에 관한 기초 연구)

  • Han, Yong-Hee;Jang, Moo-Young;Mun, Chi-Woong
    • Journal of Biomedical Engineering Research
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    • v.31 no.5
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    • pp.412-416
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    • 2010
  • In this study, we measured the chemical shift change of metabolite peaks in the brain-metabolite phantom according to the temperature variation using nuclear magnetic resonance(NMR). The temperature range in NMR system was controled from 25 to 80 (5 step) by internal temperature controller. Temperature coefficients of each metabolite peaks were also calculated from the measured chemical shift depending on the temperature. The chemical shift changes depending on temperature were validated by linear regression method for each metabolite peaks. The temperature coefficients of $_{tot}Cr$, Cho, Cr, NAA, and Lac were 0.0086, 0.0088, 0.0091, 0.0089, and 0.0088ppm/$^{\circ}C$, respectively. This study shows that chemical shift change of brain metabolite and temperature variation have linear relationship each other. This also makes authors believe that brain temperature measurement is possible using MR spectroscopic imaging technique.

New Polyphase Sequence with Good Nonperiodic Autocorrelation Property (우수한 비주기 자기상관 특성을 갖는 새로운 다중 위상 부호열)

  • 문경하;홍윤표;최기훈;송홍엽
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.7C
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    • pp.915-920
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    • 2004
  • In this paper, we propose the new polyphase sequence with the best nonperiodic autocorrelation property in the viewpoint of the merit factors, which are important criteria for a nonperiodic autocorrelation property. We propose the general implementation of a polyphase sequence generator over an integer residue ring by using a linear feedback shift register(LFSR), in addition, we analyze the linear complexities of polyphase sequences based on the proposed implementation method.