• Title/Summary/Keyword: Nyquist frequency

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Perfect Reconstruction in Sub-Nyquist Nonuniform Sampling of Signals with Known upper Time-frequency Boundary (비 균일 표본화 신호의 완전 복구에 관한 연구)

  • 이희영;정현권
    • Proceedings of the IEEK Conference
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    • 2002.06e
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    • pp.9-12
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    • 2002
  • The problem of sub-Nyquist nonuniform sampling for the perfect reconstruction of signals with time-varying spectral contents is studied. The signals are assumed to have a known instantaneous bandwidth in time-frequency domain. As the function of time, the nonuniform sampling pattern of a given signal, that is, the instantaneous sampling frequency is determined by the observation of instantaneous bandwidth based on time-frequency analysis. The proposed sampling pattern guarantees the perfect reconstruction of nonuniform sampled signals under Nyquist-sampling rate in average.

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Sub-Nyquist Nonuniform Sampling and Perfect Reconstruction of Speech Signals (음성신호의 Sub-Nyquist 비균일 표준화 및 완전 복구에 관한 연구)

  • Lee, He-Young
    • Speech Sciences
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    • v.12 no.2
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    • pp.153-170
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    • 2005
  • The sub-Nyquist nonuniform sampling (SNNS) and the perfect reconstruction (PR) formula are proposed for the development of a systematic method to obtain minimal representation of a speech signal. In the proposed method, the instantaneous sampling frequency (ISF) varies, depending on the least upper boundary of spectral support of a speech signal in time-frequency domain (TFD). The definition of the instantaneous bandwidth (IB), which determines the ISF and is used for generating the set of samples that represent continuous-time signals perfectly, is given. Also, the spectral characteristics of the sampled data generated by the sub-Nyquist nonuniform sampling method is analyzed. The proposed method doesn't generate the redundant samples due to the time-varying property of the instantaneous bandwidth of a speech signal.

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Model Reduction Algorithm Using Nyquist Curve in Frequency Domain (주파수 영역에서 Nyquist 선도를 이용한 모델 축소)

  • 조준호;김정철;김진권;최정내;황형수
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.6
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    • pp.439-444
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    • 2002
  • In this paper, a new model reduction method is proposed to obtain a reduced order model in the frequency domain. The method is developed based on the second-order plus dead time modeling technique. The initial value of the reduced model parameters can be obtained using this method coinciding four point(0, -$\pi$/2, -$\pi$, -3$\pi$/2) on the Nyquist curve. The optimal parameters of the reduced model is obtained through calculation procedure with three steps. It is shown that Nyquist curves and unit step responses of the reduced models of numerical examples closely agree with those of original models.

Arbitrary Sampling Method for Nonlinearity Identification of Frequency Multipliers

  • Park, Young-Cheol;Yoon, Hoi-Jin
    • Journal of electromagnetic engineering and science
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    • v.8 no.1
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    • pp.17-22
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    • 2008
  • It is presented that sampling rates for behavioral modeling of quasi-memory less nonlinear devices can be far less than the Nyquist rate of the input signal. Although it has been believed that the sampling rate of nonlinear device modeling should be at least the Nyquist rate of the output signal, this paper suggests that far less than the Nyquist rate of the input signal can be applied to the modeling of quasi-memoryless nonlinear devices, such as frequency multipliers. To verify, a QPSK signal at 820 MHz were applied to a frequency tripler, whereby the device can be utilized as an up-converting mixer into 2.46 GHz with the aid of digital predistortion. AM-AM, AM-PM and PM-PM can be successfully measured regardless of sampling rates.

Frequency characters of Holographic data storage system's data page And Description of optical system (홀로그래픽 정보 저장 장치의 데이터 페이지 주파수 특성 및 광학 시스템 표현)

  • Kim, Hwal;Jeon, Sungbin;Kim, Do-Hyung;Park, No-Cheol;Park, Young-Pil
    • Transactions of the Society of Information Storage Systems
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    • v.11 no.1
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    • pp.1-5
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    • 2015
  • The selective frequency analysis method is suggested in the holographic data storage system with the nyquist aperture to reduce the size of hologram. The image filter was designed with many different methods to improve the bit error rate caused by the nyquist aperture. In previous the methods of image restoration for HDS, an iteration time and a highly precise point spread function were necessary. In this paper, we describe the optical system with analytic method. Thereby, we expect our result help the researchers to design the filter.

Compensation of Harmonic Disturbances within Nyquist Frequency in Hard Disk Drives (하드 디스크 드라이브에서 나이퀴스트 주파수 안의 고조파 외란 보상)

  • Suh, Sang-Min
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.9
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    • pp.872-875
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    • 2010
  • This paper describes new harmonic disturbance compensation based on a peak filter array for Hard Disk Drives. Unlike a conventional method, the proposed method does not require any sin/cos functions or tables and reduces effects of all harmonic disturbances within a nyquist frequency. Two factors are introduced to parameterize stability and a gain tune. In addition, it is verified that the order of the proposed filter is minimal. From 600 experimental results, 8.5% performance improvement is achieved.

A new line coding algorithm for power spectrum suppression at DC and nyquist frequency (직류 및 나이퀴스트 주파수에서 전력 스펙트럼 억제를 위한 새로운 선로 부호화 알고리즘)

  • 김용호;김대영
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.4
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    • pp.815-820
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    • 1998
  • A new coding algorithm which has spectrum notches at the DC and Nyquist Frequency for maximizing the effect of the in-band pilot insertion in order to make the symbol timing or carrier recovery easy is proposed. It is shown that this algorithm uses one encoder and gives the similar spectrum characteristics to that of the existing OF00 code which uses two encoder. In this paper, the proposed new coding algorithm is explained andits spectrum characteristics is compared with the of OF00 code using computer simulation.

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Improved Model Reduction Algorithm by Nyquist Curve (Nyquist 선도에 의한 개선된 모델 축소 알고리즘)

  • Cho, Joon-Ho;Choi, Jung-Nae;Hwang, Hyung-Soo
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.215-218
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    • 2001
  • To improve the performance of PID controller of high order systems by model reduction, we proposed a new model reduction method in frequency domain. A new model reduction method we proposed, considered four points (${\angle}G(jw)=0$, $-{\pi}/2$, $-{\pi}$, $-3{\pi}/2$) in stead of two points (${\angle}G(jw)=-{\pi}/2$, and $-{\pi}$) in Nyquist curve. And for high order systems that it have not two point (${\angle}G(jw)=-{\pi}/2$, and $-{\pi}$) in Nyquist curve, we proposed a method to annex very small dead time. This method has a annexed very small dead time on the base model for reduction, and we cancel it after to get the reduced model. It is shown that the performance of proposed method is better than any other methods.

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Complex Bandpass Sampling for SDR front-end (SDR front-end를 위한 Complex Bandpass Sampling)

  • Wang, Hong-Mei;Kim, Jae-Hyung;Kim, Hyung-Jung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.8
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    • pp.1805-1812
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    • 2011
  • Bandpass sampling technique has an advantage that it uses lower sampling frequency than Nyquist criterion. But special care is required in choosing sampling frequency to avoid self-image overlapping in the first Nyquist region. Recently, the second-order BPS techniques which can suppress possible self-image by using an additional ADC and by employing digital signal processing have been proposed. This paper addresses a complex BPS based SDR front-end. Unlike general second-order BPS, it needs simple FIR filter to compensate delay in the second ADC. We show a method to find proper sampling frequencies to down convert RF signals selected by tunable RF filter operating in arbitrary frequency range.

Continuous-Time Controller Design using Identification of Feedback System in Frequency Domain (주파수역 피드백시스템인식을 이용한 연속시간 제어기 설계)

  • Yang, Ho-Suk;Jung, Yu-Chul;Lee, Gun-Bok
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.664-669
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    • 2001
  • Continuous-time controller design is proposed using feedback system identification in frequency domain. System stability imposed by a new controller is checked in the function of a conventional closed-loop system, instead of a poorly modeled plant due to non-linearity and disturbance as well as unstable components, etc. The stability of the system is evaluated in view of Nyquist stability. All the equations are formulated in the framework of the discrete-time system. Simulation results are shown on the plant with input saturation and DC disturbance.

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