• Title/Summary/Keyword: Elliptic Function Filter

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Rotation-Free Transformation of the Coupling Matrix with Genetic Algorithm-Error Minimizing Pertaining Transfer Functions

  • Kahng, Sungtek
    • Journal of electromagnetic engineering and science
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    • v.4 no.3
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    • pp.102-106
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    • 2004
  • A novel Genetic Algorithm(GA)-based method is suggested to transform a coupling matrix to another, without the procedure of Matrix Rotation. This can remove tedious work like pivoting and deciding rotation angles needed for each of the iterations. The error function for the GA is simply formed and used as part of error minimization for obtaining the solution. An 8th order dual-mode elliptic integral function response filter is taken as an example to validate the present method.

Novel Quasi-Elliptic Function Bandpass Filter Using Hexagonal Resonators with Capacitive Loading

  • Wang, Changtao;Li, Wenming;Liu, Feng;Liu, Haiwen
    • ETRI Journal
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    • v.30 no.4
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    • pp.615-617
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    • 2008
  • A novel and compact elliptic-function bandpass filter is proposed in this letter. The techniques of slot etching and the addition of open stubs are applied to enhance the self-inductance and self-capacitance of hexagonal open-loop resonators. Thus, size reduction and improved transmission performance are obtained. Compared to the performance of the conventional design, the central frequency and insertion loss are reduced by 28% and 3.1 dB, respectively. Measurements show that the proposed filter has a fraction bandwidth of 23% at the central frequency of 1.84 GHz, and its insertion loss in the passband is less than -1.5 dB. The bandpass filter occupies only 12 mm${\times}$21.2 mm (approximately $0.24{\lambda}_g{\times}0.14{\lambda}_g$).

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A Study on the Modified Elliptic Function with Progressively Diminishing Ripple Characteristics (점진적 감소 파상 특성을 갖는 변형된 elliptic 함수에 관한 연구)

  • 윤창훈;최석우;김동용
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.12
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    • pp.45-50
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    • 1994
  • The elliptic filters are optimal in the sense that the magnitude characteristic exhibits the steepest slope at the cutoff frequency. The other characteristics such as delay and step response, however, are rather undesirable. In this paper, the modified elliptic low-pass filter function is proposed. The modified elliptic function possesses progressively diminishing ripples in both passband and stopband, and the lower pole-Q, values when compared to the elliptic counterparts, thus producting the flatter delay characteristics and improved time-domain performances. And it is realizable in the doubley-terminated ladder structures for the order n even or odd, thus lending themselves amaenable to high-quality active RC or switched capacitor filters through the simulation techniques.

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The Design of Elliptic Function Bandpass Filter using Ceramic Coaxial Resonators (유전체 동축 공진기를 이용한 타원 함수 대역 통과 여파기의 설계)

  • 김정제;윤상원
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.10 no.6
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    • pp.805-814
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    • 1999
  • In this paper, elliptic function bandpass filters using ceramic coaxial resonators are designed. Since elliptic function filters have better performance of frequency selectivity than those based on Butterworth or Chebyshev, therefore it is possible to make better use of limited frequency resources. Elliptic function bandpass filters using ceramic coaxial resonators are designed for reducing it's size, weight, cost and for easy manufacturing and tuning. From measurements, an accurate resonator model is obtained and the coupling coefficient values are extracted. Based on these results, elliptic function bandpass filters are designed. The experimental results have shown that the 8th order elliptic function filter of 959 MHz center frequency with 28 MHz bandwidth using coaxial ceramic resonators have about more tan 17 dB return loss, 5 dB insertion loss, more than 20 dB attenuation at $f_c\pm$5 MHz.

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A Analysis of Phase and Time Domain Characteristics of Elliptic Filters (타원필터의 위상 및 시간영역 특성 분석)

  • Lee, Chong In;Kim, Dong Yong;Shin, Gun Soon
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.4
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    • pp.571-577
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    • 1986
  • In this paper, we have investigated pole-zero shifting due to variable stopband frequency Ws and passband ripple Ap of elliptic function filters. Also we have studied the phase, group-delay, unit step response and impulse response of elliptic filters. We show that in the passband the phase linearity improves as Ws increases, and eventually it approaches that of a chebyshev function filter.

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A Study on a 4-Pole Singly Terminated Dual-Mode Elliptic Function Filter for Ka band Satellite Applications (Ka 대역 위성중계기용 4차 단일종단 이중모드 타원응답 필터에 관한 연구)

  • 염인복;이주섭;엄만석;이성팔;오승엽
    • Proceedings of the IEEK Conference
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    • 2003.11c
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    • pp.68-71
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    • 2003
  • An output multiplexer of manifold type is widely employed in a recent satellite transponder due to its small size and mass. For correct operation, channel fillers in manifold multiplexer must be singly terminated. In this paper, a simple synthesis method fur a single terminated filter is described. From the given method, a 4-pole singly terminated elliptic function filter for Ka band satellite transponder is designed. The filter is shown to be suitable for satellite application and its measured results agrees well with computed ones.

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Design of a Ku-band TE113 Dual-mode Cavity Resonator Filter (Ku-band TE113 Dual-mode 공동 공진기 필터의 설계)

  • 김상철;한이두;홍의석
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.9
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    • pp.1229-1235
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    • 1995
  • In this paper an elliptic response dual-mode 4-pole bandpass filter was designed, manu-factured, and tested. A dual-mode filter having two stages cascaded double-tuned cavities which are resonant in two independent orthogonal TE113 circular-cavity modes and provide a bandpass response. A 4-pole dual-mode elliptic function bandpass filter has a center frequency of 14.022 GHz with a bandwidth of 36 MHz which is the first channel of the KOREASAT up-link frequency. The measured experimental results of a dual-mode filter are 1 dB insertion loss in the passband and 20 dB out-of-rejection.

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Hybrid of SA and CG Methods for Designing the Ka-Band Group-Delay Equalized Filter (Ka-대역 군지연-등화 여파기용 SA 기법과 CG 기법의 하이브리드 설계 기법)

  • Kahng, Sungtek
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.8
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    • pp.775-780
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    • 2004
  • This paper describes the realization of the Ka-band group-delay equalized filter desisted with the help of a new hybrid method of Simulated Annealing(SA) and Conjugate Gradient(CG), to be employed by the multi-channel Input Multiplexer for a satellite use, each channel of which comprises a channel filter and a group-delay equalizer. The SA and CG find circuit parameters of an 8th order elliptic function filter and a 2-pole equalizer, respectively. Measurement results demonstrate that the performances of the designed component meet the specifications, and validate the design methods.

A Compact C-Band Semi-Lumped Lowpass Filter with Broad Stopband Using a Chip Inductor (칩 인덕터를 사용하여 광대역 저지 특성을 갖는 소형 C-밴드 Semi-Lumped 저역 통과 여파기)

  • Jang, Ki-Eon;Lee, Gi-Moon;Kim, Ha-Chul;Choi, Hyun-Chul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.12
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    • pp.1359-1364
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    • 2012
  • The C-band semi-lumped lowpass filter with broad stopband and compact size characteristic using chip inductor is proposed. To provide an additional attenuation pole in stopband by SRF, a separable inductor is added to proposed structure, and it has broad stopband characteristic. The third order elliptic function lowpass filter with chip inductor(L: 9.1 nH, SRF: 5.5 GHz, Q: 25) has insertion loss of 0.38 dB, cutoff frequency of 920 MHz, broad stopband(below 20 dB) of 1.43~7.8 GHz and the size is reduced 37.4 % compared to distributed inductor.