• Title/Summary/Keyword: Fourier Domain

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Time Domain Analysis of a Tension Leg Platform in Multi-Directional Irregular Waves (다방향 불규칙파중의 인장계류식 해양구조물의 시간영역 해석)

  • Lee, Chang-Ho;Kim, Chuel-Hyun
    • Journal of Ocean Engineering and Technology
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    • v.20 no.5 s.72
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    • pp.36-41
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    • 2006
  • The main object of this study is to develop an accurate and convenient method for the response analysis of offshore structures in real sea states. A numerical procedure is described for predicting the motion responses and tension variations of the ISSC TLP in multi-directional irregular waves. The developed numerical approach in the frequency domain is based on acombination of the three dimensional source distribution method, the dynamic response analysis method, and the spectral analysis method. Frequency domain analysis in the multi-directional irregular waves is expanded to a time domain analysis by using a convolution integral after obtaining the impulse response by Fourier transformation. The results of the comparison between responses in the frequency and time domain confirmed the validity of the proposed approach.

Time-Domain Response of Transmission-Line Structures Excited by an External Electromagnetic Pulse (외부 전자파 펄스에 의해 여기된 전송선로 구조의 시간 영역 응답)

  • 김태현;정연춘;김세윤;박동철;배범열;박종한
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.7 no.3
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    • pp.239-245
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    • 1996
  • The time-domain response of a two-conductor-structure transmission line excited by an incident electromagnetic pulse is numerically analyzed using the Finite-Difference Time-Domain (FDTD) method. The external electromagnetic pulse is generated by ultilizing a TEM cell. The simulated time-domain response is compared with the time-domain response which is obtained by the Inverse Fast Fourier Transform(IFFT) of the frequency domain measurement data.

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A Pattern Matching Algorithm Using Correlation in Fourier Domain (푸리에영역에서 상관을 이용한 패턴매칭 알고리듬)

  • Lee Choong Ho
    • Journal of Korea Multimedia Society
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    • v.7 no.9
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    • pp.1255-1262
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    • 2004
  • This paper proposes a pattern matching algorithm which is useful for pattern matching and verification of images which includes noises. This algorithm is based on the feature that the signal energy of image is concentrated in a small frequency region in Fourier domain. The proposed method extracts the small parts around origins and compares the regions. Specifically, the parts around origins are extracted and subtracted, and finally experimental threshold is adopted for pattern matching. In particular, the proposed algorithm is useful for the images which includes noises because the noises are distributed in the high frequency region generally, and the method extracts the low frequency region only. Experimental result shows the method recognize ten standard images and three images includes various noises. This method shows the performance which is equal to or better than that of Phase Only Correlation in some cases.

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Study of Monitoring Parameters for Coherent Beam Combination through Fourier-domain Analysis of the Speckle Image (스펙클 이미지의 푸리에 공간 분석을 통한 결맞음 빔결합 상태 모니터링 변수 도출)

  • Park, Jaedeok;Choe, Yunjin;Yeom, Dong-Il
    • Korean Journal of Optics and Photonics
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    • v.31 no.6
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    • pp.268-273
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    • 2020
  • We analyze the characteristics of the coherent beam combination of lasers by monitoring the speckle pattern of the beam reflected from a scattering medium. Three collimated laser sources with high coherence are focused on a scattering target using a lens, and we then examine the speckle pattern of the returned beam in the Fourier domain. We observe that the size of the speckle pattern changes, depending on the focused-beam size or degree of spatial overlap of the three beams. Furthermore, through Fourier-domain analysis of the speckle pattern we obtain the monitoring variable to qualify the efficiency of the coherent beam combination.

In Situ Sensing of Copper-plating Thickness Using OPD-regulated Optical Fourier-domain Reflectometry

  • Nayoung, Kim;Do Won, Kim;Nam Su, Park;Gyeong Hun, Kim;Yang Do, Kim;Chang-Seok, Kim
    • Current Optics and Photonics
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    • v.7 no.1
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    • pp.38-46
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    • 2023
  • Optical Fourier-domain reflectometry (OFDR) sensors have been widely used to measure distances with high resolution and speed in a noncontact state. In the electroplating process of a printed circuit board, it is critically important to monitor the copper-plating thickness, as small deviations can lead to defects, such as an open or short circuit. In this paper we employ a phase-based OFDR sensor for in situ relative distance sensing of a sample with nanometer-scale resolution, during electroplating. We also develop an optical-path difference (OPD)-regulated sensing probe that can maintain a preset distance from the sample. This function can markedly facilitate practical measurements in two aspects: Optimal distance setting for high signal-to-noise ratio OFDR sensing, and protection of a fragile probe tip via vertical evasion movement. In a sample with a centimeter-scale structure, a conventional OFDR sensor will probably either bump into the sample or practically out of the detection range of the sensing probe. To address this limitation, a novel OPD-regulated OFDR system is designed by combining the OFDR sensing probe and linear piezo motors with feedback-loop control. By using multiple OFDR sensors, it is possible to effectively monitor copper-plating thickness in situ and uniformize it at various positions.

Shift and Noise Tolerance Encryption System using a Phase-Based Virtual Image (가상위상영상을 이용한 잡음 및 변이에 강한 암호화 시스템)

  • 서동환;김수중
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.40 no.9
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    • pp.658-665
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    • 2003
  • In this paper, we propose an improved image encryption and the shift-tolerance method in the Fourier space using a virtual phase image. The encrypted image is obtained by the Fourier transform of the product of a phase-encoded virtual image, not an original image, and a random phase image. Therefore, even if unauthorized users analyze the encrypted image, we can prevent the possibility of counterfeiting from unauthorized people using virtual image which dose not contain any information from the original image. The decryption technique is simply performed by inverse Fourier transform of the interference pattern between the encrypted image and the Fourier decrypting key, made of proposed phase assignment rule, in frequency domain. We demonstrate the robustness to noise, to data loss and shift of the encrypted image or the Fourier decryption key in the proposed technique.

Waveform Analysis Using Wavelet Transform (웨이블렛 변환에 의한 파형 해석)

  • Kim, Hee Joon
    • Economic and Environmental Geology
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    • v.28 no.5
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    • pp.527-533
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    • 1995
  • A disadvantage of Fourier analysis is that frequency information can only be extracted for the complete duration of a signal f(t). Since the Fourier transform integral extends over all time, from $-{\infty}$ to $+{\infty}$), the information it provides arises from an average over the whole length of the signal. If there is a local oscillation representing a particular feature, this will contribute to the calculated Fourier transform $F({\omega})$, but its location on the time axis will be lost There is no way of knowing whether the value of $F({\omega})$ at a particular ${\omega}$ derives from frequencies present throughout the life of f(t) or during just one or a few selected periods. This disadvantage is overcome in wavelet analysis which provides an alternative way of breaking a signal down into its constituent parts. The main advantage of the wavelet transform over the conventional Fourier transform is that it can not only provide the combined temporal and spectral features of the signal, but can also localize the target information in the time-frequency domain simultaneously. The wavelet transform distinguishes itself from Short Time Fourier Transform for time-frequency analysis in that it has a zoom-in and zoom-out capability.

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Application of Nano-TDR Health Monitoring System in Civil Engineering (나노-TDR센서를 이용한 토목구조물 모니터링 시스템)

  • Han, Heui-Soo
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.13 no.5 s.57
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    • pp.93-100
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    • 2009
  • This study presents reasonable relationships to estimate the deformation based on beam mechanism analysis and TDR(Time Domain Reflectometry) data. To declar the length points of co-axial cable installed in civil structure, Nano material ($BaTiO_3$ powders and silver mixture) is used on co-axial cables. From the laboratory test, nano material could make the correct information about attached cable points on beam, and TDR sensor system and Fourier series (data filter) found out the deformation of beam. Therefore it is concluded that the correct deformed information of beam were acquired by Nano-TDR and Fourier filter, they are much more effective to apply at health monitoring system in civil structure compared to conventional TDR or Fiber Optic Sensor (FOS) systems.

A Fast Partial Frequency Spectrum Computation Method for the Efficient Frequency-Domain Beamformer (효율적인 주파수 영역 빔형성기 구현을 위한 국부 스펙트럼 고속 연산 기법)

  • Ha, Chang-Eup;Kim, Wan-Jin;Lee, Dong-Hun;Kim, Hyoung-Nam
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.48 no.4
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    • pp.160-168
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    • 2011
  • A Frequency domain beamforming technique is widely used in sonar systems with a large number of beams and sensors. In the battlefield environment requiring real-time signal processing, it is needed to optimize the computational complexity of the spectrum computation to implement an efficient and fast frequency domain beamformer. So, in this paper, we proposed the pruned-GSFFT (pruned generalized sliding fast Fourier transform) as a new spectrum computation method. The proposed method help to reduce the computational complexity of the real-time partial spectrum computation by eliminating the redundancy between consecutive input samples and skipping the regardless frequency bands. Also the characteristics of the proposed pruned-GSFFT method and its computational complexity are compared to those of previous FFT algorithms.

Guidedwave-induced rockbolt integrity using Fourier and wavelet transforms (유도파에 대한 푸리에 및 웨이브렛 변환을 이용한 록볼트의 건전도 평가)

  • Lee, In-Mo;Kim, Hyun-Jin;Han, Shin-In;Lee, Jong-Sub
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.9 no.4
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    • pp.403-413
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    • 2007
  • As rock bolts become one of the main support systems in tunnels and underground structures, the integrity of the rock bolts affects the safety of these types of structures. The purpose of this study is the evaluation of rock bolt integrity using Fourier and wavelet transforms of the guided ultrasonic waves. After five rock bolt specimens with various defect ratios are embedded into a large scale concrete block, guided waves are generated by a PZT (lead zirconate titanate) element and measured by an acoustic emission (AE) sensor. The captured signals are analyzed in the frequency domain using the Fourier transform, and in the time-frequency domain using the wavelet transform based on a Gabor wavelet. The spectrum obtained from the Fourier transform shows that a portion of high frequency contents increases with increase in the defect ratio. Peak values in the time-frequency domain represent the interval of travel time of each echo. The energy velocities of the guided waves increase with the defect ratio. This study shows that the spectrum ratio and the energy velocity may be indicators fur the evaluation of rock bolt integrity.

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