• Title/Summary/Keyword: zeros and poles

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An Enhanced Skirt Characteristics Triple-Mode Filter

  • Lee, Ja-Hyeon;Nam, Hun;Lim, Yeong-Seog
    • Journal of electromagnetic engineering and science
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    • v.12 no.3
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    • pp.210-215
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    • 2012
  • This paper presents a compact microstrip triple-mode filter with enhanced skirt characteristics. The presented triple-mode filter configuration supports three transmission poles and three transmission zeros within the nearby passband. Two of transmission zeros are generated by a triple-mode resonator itself, and the third one is generated by small cross-couplings between the I/O ports. Each resonance condition and the transmission zero generation conditions are analyzed using an equivalent circuit. The bandpass filter is designed for a 2.4 GHz WLAN. The filter was fabricated with a relative dielectic constant of 3.5 and a thickness of 0.76 mm. The fabricated filter has a small size ($7.9mm{\times}7.2mm$, i.e., $0.107{\lambda}_g{\times}0.098{\lambda}_g$, where ${\lambda}_g$ is guided wavelength at a center frequency) and shows high performing skirt characteristics.

CRITERIA OF NORMALITY CONCERNING THE SEQUENCE OF OMITTED FUNCTIONS

  • Chen, Qiaoyu;Qi, Jianming
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1373-1384
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    • 2016
  • In this paper, we research the normality of sequences of meromorphic functions concerning the sequence of omitted functions. The main result is listed below. Let {$f_n(z)$} be a sequence of functions meromorphic in D, the multiplicities of whose poles and zeros are no less than k + 2, $k{\in}\mathbb{N}$. Let {$b_n(z)$} be a sequence of functions meromorphic in D, the multiplicities of whose poles are no less than k + 1, such that $b_n(z)\overset{\chi}{\Rightarrow}b(z)$, where $b(z({\neq}0)$ is meromorphic in D. If $f^{(k)}_n(z){\neq}b_n(z)$, then {$f_n(z)$} is normal in D. And we give some examples to indicate that there are essential differences between the normal family concerning the sequence of omitted functions and the normal family concerning the omitted function. Moreover, the conditions in our paper are best possible.

NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH MULTIPLE VALUES

  • Li, Yuntong;Liu, Zhixiu
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.593-605
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    • 2017
  • In this paper, we consider some normality criteria concerning multiple values. Let $\mathcal{F}$ be a family of meromorphic functions defined in a domain D. Let k be a positive integer and ${\psi}(z){\not\equiv}0$, ${\infty}$ be a meromorphic function in D. If, for each $f{\in}\mathcal{F}$ and $z{\in}D$, (1) $f(z){\neq}0$, and all of whose poles are multiple; (2) all zeros of $f^{(k)}(z)-{\psi}(z)$ have multiplicities at least k + 3 in D; (3) all poles of ${\psi}(z)$ have multiplicities at most k in D, then $\mathcal{F}$ is normal in D.

Active RC Synthesis Using Integrators (적분회로를 응용한 능동 RC 회로합성)

  • 이영근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.9 no.5
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    • pp.6-11
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    • 1972
  • A general active RC network synthesis procedure which realizes any stable transfer function is described. The network elements are only R's, C's and OA's, and the network configuration are well suited for construction using thin-film RC networks and integrated cil'suit operational amplifiers. Poles and transmission zeros can be adjusted independently to each other and are qu;te insensitive to element variations.

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THE CHOOSING AND ANALYSIS OF WEIGHTING MATRIX IN OPTIMAL CONTROL DESIGN. (최적제어 설계에 있어서의 하중행렬의 선택과 해석)

  • Hwang, Chang-Sun;Kim, Chung-Tek
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.62-65
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    • 1989
  • Optimizing transient response for both tracking reference signals and disturbance rejection is determined by the poles and zeros of the transfer function. Thus, optimal pole assignment and how should weighting matrix for the performance index be chosen is very important to achieve optimum transient response. This paper focus its attention on the choosing and analysis of weighting matrix for optimum pole assignment. Optimum pole assignment is defined for linear time-invariant continuous systems.

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Stability improvement of induction motor vector control system without speed sensor

  • Tsuji, Mineo;Li, Hanqiang;Izumi, Katsuhiro;Yamada, Eiji
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.207-210
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    • 1995
  • In this paper, two representative schemes for vector control of induction motor without speed sensor are studied. First, the two sensorless systems which are implemented by voltage and current source are presented with new ideas and interpretations. Then a linear model around an operating point is proposed. Finally, the stability improvement of these systems are studied and evaluated by computing the trajectories of poles and zeros.

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AN ALGORITHM FOR DETERMINING THE WEIGHTING MATRICES OF THE QUADRATIC PERFORMANCE INDEX IN OPTIMAL CONTROL (최적제어 설계에 있어서의 2차형 하중행렬의 한 결정법)

  • Hwa, Chang-Sun;Kim, Chung-Tek
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.407-410
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    • 1989
  • Optimizing transient response for both tracking reference signals and disturbance rejection is determined by the poles and zeros of the transfer function. Thus, optimal pole assignment and how should weighting matrix for the performance index be chosen is very important to achieve optimum transient response. This paper focus its attention on the choosing and analysis of weighting matrix for optimum pole assignment. Optimum pole assignment is defined for linear time-invariant continuous systems.

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ON MEROMORPHIC SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL-DIFFERENCE EQUATIONS OF FIRST ORDER IN SEVERAL COMPLEX VARIABLES

  • Qibin Cheng;Yezhou Li;Zhixue Liu
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.425-441
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    • 2023
  • This paper is concerned with the value distribution for meromorphic solutions f of a class of nonlinear partial differential-difference equation of first order with small coefficients. We show that such solutions f are uniquely determined by the poles of f and the zeros of f - c, f - d (counting multiplicities) for two distinct small functions c, d.

The Optimal Compensator for AT Forward Multi Resonant Converter

  • Oh Yong-Seung;Kim Hee-Jun;Kim Chang-Sun
    • Proceedings of the KIPE Conference
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    • 2001.10a
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    • pp.242-246
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    • 2001
  • The alternated forward multi resonant converter (AT forward MRC) is studied on the transient response and the measured loop gain for stability. The compensator is composed of the error amplifier with 3 poles and 2 zeros. This is optimized through the experiment with HP4194A network analyzer. We are initiated by the thinking of how to make the stabilization from the experimental results of loop gain curves. The loop gain, low frequency gain and gain margin are more improved through the experimental considerations. Also, the transient response is more enhanced effectively.

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An adaptive IIR echo canceller with adaptive compensator (적응 보상기를 채용한 적응 순환 방향제거기)

  • 최삼길;김달수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.4
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    • pp.876-883
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    • 1996
  • Adaptive FIR filters are widely used in the echo canceller. But, most of practical systems have the transfer function composed of poles and zeros. In that case, adaptive IIR filters may be more efficient rather than FIR fiters. In this paper, a recently developed C-HARF algorithm is used to implement an adaptive IIR echo canceller. The proposed convergence of the algorithm make it attractive for this application. Extensive computer simulations show that C-HARF algorithm performs better than the NLMS algorithm after convergence, although C-HARF algorithm converges more slowly.

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