• Title/Summary/Keyword: Time Frequency Analysis

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Principal component analysis in the frequency domain: a review and their application to climate data (주파수공간에서의 주성분분석: 리뷰와 기상자료에의 적용)

  • Jo, You-Jung;Oh, Hee-Seok;Lim, Yaeji
    • The Korean Journal of Applied Statistics
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    • v.30 no.3
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    • pp.441-451
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    • 2017
  • In this paper, we review principal component analysis (PCA) procedures in the frequency domain and apply them to analyze sea surface temperature data. The classical PCA defined in the time domain is a popular dimension reduction technique. Extending the conventional PCA to the frequency domain makes it possible to define PCA in the frequency domain, which is useful for dimension reduction as well as a feature extraction of multiple time series. We focus on two PCA methods in the frequency domain, Hilbert PCA (HPCA) and frequency domain PCA (FDPCA). We review these two PCAs in order for potential readers to easily understand insights as well as perform a numerical study for comparison with conventional PCA. Furthermore, we apply PCA methods in the frequency domain to sea surface temperature data on the tropical Pacific Ocean. Results from numerical experiments demonstrate that PCA in the frequency domain is effective for the analysis of time series data.

Time-frequency domain characteristics of intact and cracked red sandstone based on acoustic emission waveforms

  • Yong Niu;Jinguo Wang;Yunjin Hu;Gang Wang;Bolong Liu
    • Geomechanics and Engineering
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    • v.34 no.1
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    • pp.1-15
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    • 2023
  • This study conducts uniaxial compression tests on intact and single crack-contained rocks to investigate the time-frequency domain characteristics of acoustic emission (AE) signals monitored during the deformation failure process. A processing approach, short-time Fourier transform (STFT), is performed to obtain the evolution characteristics of time-frequency domain of AE signals. The AE signal modes at different deformation stages of rocks are different. Five modes of AE signal are observed during the cracking process of rocks. The evolution characteristics of time-frequency domain of AE signals processed by STFT can be utilized to evaluate the damage process of rocks. The difference of time-frequency domain characteristics between intact and cracked rocks is comparatively analyzed. The distribution characteristics of frequency changing from a single band-shaped cluster to multiple band-shaped clusters can be regarded as an early warning information of damage and failure of rocks. Meanwhile, the attenuation of frequency enables the exploration of rock failure trends.

A Study on the Method for Dynamic Response Analysis in Frequency Domain of an Offshore Wind Turbine by Linearization of Equations of Motion for Multibody (다물체계 운동 방정식 선형화를 통한 해상 풍력 발전기 동적 거동의 주파수 영역 해석 방법에 관한 연구)

  • Ku, Namkug;Roh, Myung-Il;Ha, Sol;Shin, Hyun-Kyoung
    • Korean Journal of Computational Design and Engineering
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    • v.20 no.1
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    • pp.84-92
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    • 2015
  • In this study, we describe a method to analysis dynamic behavior of an offshore wind turbine in the frequency domain and expected effects of the method. An offshore wind turbine, which is composed of platform, tower, nacelle, hubs, and blades, can be considered as multibody systems. In general, the dynamic analysis of multibody systems are carried out in the time domain, because the equations of motion derived based on the multibody dynamics are generally nonlinear differential equations. However, analyzing the dynamic behavior in time domain takes longer than in frequency domain. In this study, therefore, we describe how to analysis the system multibody systems in the frequency domain. For the frequency domain analysis, the non-linear differential equations are linearized using total derivative and Taylor series expansions, and then the linearized equations are solved in time domain. This method was applied to analysis of double pendulum system for the verification of its effectiveness, and the equations of motion for the offshore wind turbine was derived with assuming that the wind turbine is rigid multibody systems. Using this method, the dynamic behavior analysis of the offshore wind turbine can be expected to take less time.

The Characteristic Analysis of VVVf Type High Frequency Inverter considering Dead Time (Dead Time을 고려한 VVVF형 고주파 인버어터의 특성해석)

  • Oh, Seung-Hoon;Bae, Sang-Jun;Min, Byoung-Jae;Lee, Dal-Hae;Choi, Sang-Yong
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.698-700
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    • 1993
  • This paper describes characteristic analysis of VVVf type high-frequency considering dead time. Static power conversion are now used in a great variety of application including induction heating, high-frequency generation, DC/DC power converter, etc. In the circuit analysis, an offer circuit was compared with safety operating region and steady state characteristics considering dead time.

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Analysis of the Characteristic of Railroad(level-crossing) Accident Frequency (철도 건널목 사고의 발생빈도 특성분석 연구)

  • Park, Jun-Tae;Kang, Pal-Moon;Park, Sung-Ho
    • Journal of the Korean Society of Safety
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    • v.29 no.2
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    • pp.76-81
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    • 2014
  • Railroad traffic accident consists of train accident, level-crossing accident, traffic death and injury accident caused by train or vehicle, and it is showing a continuous downward trend over a long period of time. As a result of the frequency comparison of train accidents and level-crossing accidents using the railway accident statistics data of Railway Industry Information Center, the share of train accident is over 90% in the 1990s and 80% in the 2000s more than the one of level-crossing accidents. In this study, we investigated time series characteristic and short-term prediction of railroad crossing, as well as seasonal characteristic. The analysis data has been accumulated over the past 20 years by using the frequency data of level-crossing accident, and was used as a frequency data per month and year. As a result of the analysis, the frequency of accident has the characteristics of the seasonal occurrence, and it doesn't show the significant decreasing trend in a short-term.

Processing Time and Traffic Capacity Analysis for RFID System Using LBT-Random Searching Scheme (LBT-Random Searching 방식을 채용한 RFID 시스템의 트래픽 처리 시간 및 용량 해석)

  • Hwang, In-Kwan;Lim, Yeon-Jun;Pyo, Cheol-Sig
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.9A
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    • pp.822-829
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    • 2005
  • In this paper, a processing time and trafnc capacity analysis algorithm for RFID system using LBT-Random Searching scheme is proposed. Service time, carrier sensing time, additional delay time required for contiguous frequency channel occupancy, and additional delay time required for the contiguous using the same frequency channel are considered and the processing delay and frequency channel capacity are analyzed for the steady state operation of the system. The simulation results showing maximum capacity of the system and explaining the accuracy of the algorithm are provided.

Analysis and Measurement of a HDD Spindle Motor Runout (컴퓨터 하드 디스크 드라이브 스핀들 모터 런아웃 측정 및 해석)

  • 장건희;김동균
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.10a
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    • pp.29-35
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    • 1997
  • This research presented a frequency analysis method to analyze NRRO in a computer hard disk drive. RRO was proved to be the harmonics of rotational frequency. The frequency components of NRRO is the subtraction of the harmonics from TIR in frequency domain, so that NRRO in time domain can be obtained by Fourier inverse transformation of NRRO in frequency domain. This method can make the experiments simple without the index signal indispensable to time domain analysis. This research also shows that NRRO is caused by the defect frequencies of ball bearing. Even though the excitation force of ball bearing is independent of the rotational speed, the amplitude of NRRO is magnified near the resonance frequencies of the spindle motor. NRRO in axial direction is almost twice bigger than that in radial direction, because the spindle motor has smaller stiffness in axial direction.

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Transient Analysis of Magnetodynamic Systems Using Fourier Transform and Frequency Sensitivity (푸리에 변환과 주파수 민감도를 이용한 시변자장 시스템에서의 과도상태 해석)

  • Choi, Myung-Jun;Kim, Chang-Hyun;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 1998.07a
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    • pp.64-66
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    • 1998
  • This paper presents a new efficient method for transient analysis in magnetodynamic systems of linear eddy current problems. This mehtod employs the Fourier transform and the high-order frequency sensitivity of harmonic finite element method. By taking into account the time-constant of magnetodynamic system, the Fourier integral of continuous frequency is converted into the Fourier series of discrete frequency. And with the results of Fourier series expansion of converted input wave form, the responses of each sinusoids is superposed to give the total response of the magnetodynamic systems. But, if the frequency band of input wave form is broad, it takes long computational time since all responses for each sinusoids must be calculated. Therefore, the high-order frequency sensitivity method is employed to estimate the response variation to frequency. The proposed algorithm is applied to an induction heating system to validate its numerical efficiency.

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Fault Diagnosis Using Wavelet Transform Method for Random Signals (불규칙 신호의 웨이블렛 기법을 이용한 결함 진단)

  • Kim Woo-Taek;Sim Hyoun-Jin;Abu Aminudin bin;Lee Hae-Jin;Lee Jung-Yoon;Oh Jae-Eung
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.10 s.175
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    • pp.80-89
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    • 2005
  • In this paper, time-frequency analysis using wavelet packet transform and advanced-MDSA (Multiple Dimensional Spectral Analysis) which based on wavelet packet transform is applied fur fault source identification and diagnosis of early detection of fault non-stationary sound/vibration signals. This method is analyzing the signal in the plane of instantaneous time and instantaneous frequency. The results of ordinary coherence function, which obtained by wavelet packet analysis, showed the possibility of early fault detection by analysis at the instantaneous time. So, by checking the coherence function trend, it is possible to detect which signal contains the major fault signal and to know how much the system is damaged. Finally, It is impossible to monitor the system is damaged or undamaged by using conventional method, because crest factor is almost constant under the range of magnitude of fault signal as its approach to normal signal. However instantaneous coherence function showed that a little change of fault signal is possible to monitor the system condition. And it is possible to predict the maintenance time by condition based maintenance for any stationary or non-stationary signals.

Frequency analysis of GPS data for structural health monitoring observations

  • Pehlivan, Huseyin
    • Structural Engineering and Mechanics
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    • v.66 no.2
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    • pp.185-193
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    • 2018
  • In this study, low- and high-frequency structure behaviors were identified and a systematic analysis procedure was proposed using noisy GPS data from a 165-m-high tower in ${\dot{I}}stanbul$, Turkey. The raw GPS data contained long- and short-periodic position changes and noisy signals at different frequencies. To extract the significant results from this complex dataset, the general structure and components of the GPS signal were modeled and analyzed in the time and frequency domains. Uncontrolled jumps and deviations involving the signal in the time domain were pre-filtered. Then, the signal was converted to the frequency domain after applying low- and high-pass filters, and the frequency and periodic component values were calculated. The spectrum of the tower motion obtained from the filtered GPS data had dominant peaks at a low frequency of $1.15572{\times}10-4Hz$ and a high frequency of 0.16624 Hz, consistent with two equivalent GPS datasets. Then, the signal was reconstructed using inverse Fourier transform with the dominant low frequency values to obtain filtered and interpretable clean signals. With the proposed sequence, processing of noisy data collected from the GPS receivers mounted very close to the structure is effective in revealing the basic behaviors and features of buildings.