• Title/Summary/Keyword: small cancellation condition

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NON-HOPFIAN SQ-UNIVERSAL GROUPS

  • Lee, Donghi
    • East Asian mathematical journal
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    • v.34 no.5
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    • pp.587-595
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    • 2018
  • In [9], Lee and Sakuma constructed 2-generator non-Hopfian groups each of which has a specific presentation ${\langle}a,b{\mid}R{\rangle}$ satisfying small cancellation conditions C(4) and T(4). In this paper, we prove the SQ-universality of those non-Hopfian groups.

A Study on the IMD Cancellation by Signal combining of Predistorter type (Predistorter 형태의 신호 결합에 의한 혼변조 신호 감쇠에 관한 연구)

  • Park, Ung-Hee;Cho, Han-You;Chang, Ik-Soo
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.38 no.1
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    • pp.20-26
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    • 2001
  • Predistorter linearizer having small size and good efficiency is frequently used in High Power Amplifier linearizer system. In this paper, the amount of IMD signal cancellation according to amplitude and phase of predistorter in predistorter type lincarizer is investigated by new experiment method. In the combining method of predistorter type, IMD signal is combined at the amplifier input port, the magnitude and phase of combining signals cannot be easily expected due to different magnitude and phase of incoming signals. By experiment, it is measured that Predistorter linearizer has lower amount of lMD signal cancellation than thoce of Feedforward linearizer at the same condition (amplitude and phase).

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Synthetic-heterodyne interferometry for measuring extremely small amplitude of mechanical vibrations (미소 진폭 기계진동의 Synthetic-heterodyne 간섭측정에 대한 연구)

  • Kang, Seong-Gu;La, Jong-Pil;Yoon, Hee-Sun;Park, Kyi-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.373-378
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    • 2007
  • On the homodyne interferometers, high pass filter(HPF) is usually used to remove the electrical noise in the interferent signal. Heterodyne interferometer has modulating frequency is shifted in the frequency region where the electrical noise effect is minimized by HPF effect. However, on the homodyne interferometer, the interferent DC-component of homodyne interferometer is unfortunately eliminated by using a HPF because its shifted frequency does not exist. Moreover, this effect is more serious the vibration amplitude is smaller. So, when unstable interferent signals via HPF are demodulated, a velocity is distorted. In this work, the mathematical explanation for the distortion of the homodyne interferent signal using the HPF is given. New synthetic heterodyne LDV based on the homodyne interferometer by exciting the reference mirror is proposed for the cancellation of the distortion. The optimum excitation condition of the mirror to compensate the distortion is discussed. The numerical simulation using the commercial MATLAB code is provided to show the effect of the proposed synthetic heterodyne LDV. The experimental results are also given and the effect of the proposed LDV is discussed.

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