• Title/Summary/Keyword: Fractional Design

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Fractional-N Frequency Synthesis: Overview and Practical Aspects with FIR-Embedded Design

  • Rhee, Woogeun;Xu, Ni;Zhou, Bo;Wang, Zhihua
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.13 no.2
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    • pp.170-183
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    • 2013
  • This paper gives an overview of fractional-N phase-locked loops (PLLs) with practical design perspectives focusing on a ${\Delta}{\Sigma}$ modulation technique and a finite-impulse response (FIR) filtering method. Spur generation and nonlinearity issues in the ${\Delta}{\Sigma}$ fractional-N PLLs are discussed with simulation and hardware results. High-order ${\Delta}{\Sigma}$ modulation with FIR-embedded filtering is considered for low noise frequency generation. Also, various architectures of finite-modulo fractional-N PLLs are reviewed for alternative low cost design, and the FIR filtering technique is shown to be useful for spur reduction in the finite-modulo fractional-N PLL design.

$p^{n-m}$ fractional Factorial Design Excluded SOme Debarred Combinations

  • Choi, Byoung-Chul;Kim, Hyuk-Joo
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.759-766
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    • 2000
  • In order to design fractional factorial experiments which include some debarred combinations, we should select defining contrasts so that those combinations are to be excluded. Choi(1999) presented a method of selectign defining contrasts to construct orthogonal 3-level fractional factorial experiments which exclude some debarred combinations. In this paper, we extend Choi's method to general p-level fractional factorial experiments to select defining contrasts which cold exclude some debarred combinations.

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Design of Fractional Order Controller Based on Particle Swarm Optimization

  • Cao, Jun-Yi;Cao, Bing-Gang
    • International Journal of Control, Automation, and Systems
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    • v.4 no.6
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    • pp.775-781
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    • 2006
  • An intelligent optimization method for designing Fractional Order PID(FOPID) controllers based on Particle Swarm Optimization(PSO) is presented in this paper. Fractional calculus can provide novel and higher performance extension for FOPID controllers. However, the difficulties of designing FOPID controllers increase, because FOPID controllers append derivative order and integral order in comparison with traditional PID controllers. To design the parameters of FOPID controllers, the enhanced PSO algorithms is adopted, which guarantee the particle position inside the defined search spaces with momentum factor. The optimization performance target is the weighted combination of ITAE and control input. The numerical realization of FOPID controllers uses the methods of Tustin operator and continued fraction expansion. Experimental results show the proposed design method can design effectively the parameters of FOPID controllers.

Effect of Pole to Slot Ratio on Cogging Torque and EMF Waveform in Permanent Magnet Motor with Fractional-Slot (분수슬롯을 가진 영구자석 전동기에서 극당 슬롯 비율이 코깅토크와 역기전력에 미치는 영향)

  • Lee, Kab-Jae;Lee, Ju
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.9
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    • pp.454-459
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    • 2003
  • Conventional integral-slot design in permanent magnet(PM) motor tends to have a high cogging torque and large end turns, which contribute to copper losses. The fractional-slot design is effective compared to integral-slot design in the cogging torque and electromotive force(EMF) waveform. The effectiveness of fractional slot can be maximized by selecting optimal pole to slot ratio. This paper presents the effect of pole to slot ratio on the cogging torque and EMF waveform in the PM motor with fractional-slot. The effectiveness of the proposed designs has been confirmed by comparing waveform of EMF. cogging torque and torque ripple between conventional and new models.

Design of control systems by a linear fractional transformation (선형분수변환을 이용한 제어계설계)

  • ;古田 勝久
    • Journal of Advanced Marine Engineering and Technology
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    • v.13 no.2
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    • pp.78-88
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    • 1989
  • The fundamental objective of this paper has been to develop a means for incoporating the concept of the linear fractional transformation more generally and easily into multivariable feedback design procedure. When we design a continuous system, generally, we are constrained by design methods which arise specifically for the system. Also, in the design of descrete systems, it is the same concept. But the approach developed in this paper is very flexible in the view that in spite of being the continuous or discrete, the design can be done using a well known design method in both cases. That is, when we design a contnuous system or discrete system, the design can be done by a standard design method of continuous systmes or discrete ones, depending on the choice of the linear fractional transformation. Therefore, it is noted that this concept has broken the unflexibility of the conventional design rules for multivariable control system. In essence, the concept shows that if a given system is controllable, some desirable design, for examples, pole assignment within prespecified region, optimal controllers with poles within prespecified region etc., could be done easily by transforming a desirable region into a standard region, such as the complex left-half plane or the unit disk, by the chosen linear fractional transformation, and then by designing the transformed system using the well known standard results.

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A Study on Developing Fold-Over Designs with Four-Level Quantitative Factors (4-수준 계량인자가 포함된 반사계획에 관한 연구)

  • Choi, Kiew-Phil;Byun, Jai-Hyun
    • Journal of Korean Institute of Industrial Engineers
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    • v.28 no.3
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    • pp.283-290
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    • 2002
  • Two-level fractional factorial designs are widely used when many factors are considered. When two-level fractional factorial designs are used, some effects are confounded with each other. To break the confounding between effects, we can use fractional factorial designs, called fold-over designs, in which certain signs in the design generators are switched. In this paper, optimal fold-over designs with four-level quantitative and two-level factors are presented for (1) the initial designs without curvature effect and (2) those with curvature effect. Optimal fold-over design tables are provided for 8-run, 16-run, and 32-run experiments.

Noise Reduction of Muffler by Optimal Design

  • Oh, Jae-Eung;Cha, Kyung-Joon
    • Journal of Mechanical Science and Technology
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    • v.14 no.9
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    • pp.947-955
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    • 2000
  • This paper proposes an optimal design scheme to improve the muffler's capacity of noise reduction of the exhaust system by combining the Taguchi method and a fractional factorial design. As a measuring tool for the performance of a muffler, the performance prediction software which is developed by Oh, Lee and Lee (1996) is used. In the first stage of a design, the length and radius of each component of the current muffler system are selected as control factors. Then, the $L_{18}$ table of orthogonal arrays is adopted to extract the effective main factors. In the second stage, the fractional factorial design is adopted to take interactions into consideration, which the $L_{18}$ table of orthogonal arrays can not consider. For an optimal design, the $L_{27}$ table of orthogonal arrays with main and interaction effects is proposed and the noise factors such as temperature, background noise and humidity are analyzed for more efficient design simultaneously.

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Design of Muffler using Taguchi Method and Experimental Design (다구찌 방법과 실험계획법을 이용한 소음기의 설계 방법)

  • 오재응;차경준;이규태;진정언
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.5
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    • pp.121-129
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    • 1999
  • Recently, the regulations from the govemment and the concems of the people give rise to the interest in exhaust noise of passenger car as much as other vehicles. The exact analysis of various mufflers is needed to reduce the level of exhaust noise. In this paper, we propose a design to improve the mufflers capacity by reducing noise of exhaust system combining Taguchi method and fractional factorial design. In order to measure the performance of a muffler, the performance prediction software which is developed by the Dept. of Automotive Engineering at Hanyang University is used. From the current muffler system we select control factors such as lenght and radius of each component that are thought to be effective on capacity of muffler. Factors are arranged using L18, L27 table of orthogonal array and the fractional factorial design for analysis. We find some significant interaction effects using 1/3 fractional factorial design and accomplish the reduction of noise from the muffler.

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A design of fractional-N phase lock loop (Fractional-N 방식의 주파수 합성기 설계)

  • Kim, Min-A;Choi, Young-Shig
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.8
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    • pp.1558-1563
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    • 2007
  • In this paper, phase-locked loop (PLL) of a combinational architecture consisting of an adaptive bandwidth and fractional-N is presented to improve performances and reduce the order of ${\Delta}{\Sigma}$ modulator while maintaining equivalent or better performance with fast locking. The architecture of adaptive bandwidth PLL was simulated by HSPICE using 0.35m CMOS parameters. The behavioral simulation of the proposed adaptive bandwidth fractional-N PLL with a ${\Delta}{\Sigma}$ modulator was carried out by using MatLab to determine if the architecture could achieve the objectives. The HSPICE simulation showed that this type of PLL was able to fast locking, and reduce fractional spurs about 20dB.

A SIMULINK Modeling for a Fractional-N Frequency Synthesizer (SIMULINK를 이용한 Fractional-N 주파수합성기의 모델링 기법)

  • Kim, In-Jeong;Seo, Woo-Hyong;Ahn, Jin-Oh;Kim, Dae-Jeong
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.521-522
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    • 2006
  • This paper presents behavioral models using SIMULINK and Verilog-a for a PLL based fractional-N frequency synthesizer. The SIMULINK modeling was built in the frequency-time mixed domain whereas the Verilog-a modeling was built purely in the time domain. The simulated results of the two models were verified to show the same performance within the error tolerance. This top-down design method can provide the readiness for the transistor-level design.

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