• Title/Summary/Keyword: Fourier method

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Consideration on the Non-linearity of Warburg Impedance for Fourier Transform Electrochemical Impedance Spectroscopy

  • Chang, Byoung-Yong
    • Journal of the Korean Electrochemical Society
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    • v.17 no.2
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    • pp.119-123
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    • 2014
  • Here I report on how Fourier Transform Electrochemical Impedance Spectroscopy (FTEIS) overcomes the potential-current linearity problem encountered in the impedance calculation process. FTEIS was first invented to solve the time-related drawback of the conventional impedance technique. The dramatic time reduction of FTEIS enabled the real-time impedance measurement but brought about the linearity problem at the same time. While the conventional method circumvents the problem using the steady-state made by a sufficiently long measurement time, FTEIS cannot because of its real-time function. However, according to the mathematical development reported in this article, the potential step used in FTEIS is proved to avoid the linearity problem. During the step period, the potential and the current are linearized by the electrochemical impedance. Also, Fourier transform of the differentiated potential and current is proved to give the same result of the original ones.

The Visualization of Vibration and Noise of The Rotary Compressor during One Cycle of Crank Shaft by use of Short Time Fourier Transform (STFT를 이용한 로터리 압축기 크랭크 1회전 동안의 실시간 진동소음의 가시화)

  • Ahn, Se-Jin;Jeong, Weui-Bong;Park, Jean-Hyung;Hwang, Seon-Woong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.428-433
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    • 2002
  • There have been many studies to visualize the vibration and noise of rotary compressor. Most of these studies assumed that the signal is stationary and the time-averaged signal is used for visualization. However, the noise and vibration signals generated during one cycle of crank shaft vary continuously. In this paper, the noise and vibration of rotary compressor which vary continuously are visualized by short time fourier transform method. The location of source and the transfer path of vibration and noise at arbitrary frequencies, which can not be visualized by averaged signal, can be visualized clearly.

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Numerical Inversion Technique for the One and Two-Dimensional L2-Transform Using the Fourier Series and Its Application to Fractional Partial Differential Equations

  • Aghili, Arman;Ansari, Alireza
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.383-395
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    • 2012
  • In this paper, we use a computational algorithm for the inversion of the one and two-dimensional $\mathcal{L}_2$-transform based on the Bromwich's integral and the Fourier series. The new inversion formula can evaluate the inverse of the $\mathcal{L}_2$-transform with considerable accuracy over a wide range of values of the independent variable and can be devised for the functions which are not Laplace transformable and have damping motion in small interval near origin.

Analytical Study of the Image Reconstruction of Fourier Holograms Using Varifocal Electric-Field-Driven Liquid Crystal Fresnel Lenses

  • Kim, Taehyeon;Lee, Seung-Chul;Park, Woo-Sang
    • Current Optics and Photonics
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    • v.4 no.2
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    • pp.115-120
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    • 2020
  • A novel method is proposed for controlling the distance of an image plane in Fourier holograms using varifocal electric-field-driven liquid-crystal (ELC) lenses. Phase Fresnel lenses are employed to reduce the thickness and response time of the ELC lenses. The voltages applied to the electrodes of the ELC Fresnel lens are adjusted so that the lens has the same retardation distribution as an ideal lens. The focal length can be controlled by changing the retardation distribution with the applied voltages. Simulations were conducted for the image reconstruction of Fourier holograms with various focal lengths of the ELC Fresnel lenses. The simulation results indicate that the distance of the image plane can be properly controlled with the varifocal ELC Fresnel lens.

A study on Optimizing Fourier Series Density estimates (퓨리에 급수기법에 의한 밀도함수추정의 최적화 고찰)

  • Kim, Jong-Tae;Lee, Sung-Ho;Kim, Kyung-Moo
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.1
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    • pp.9-20
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    • 1997
  • Several methods are proposed for optimizing Fourier series estimators with respect to Mean Integrated Square Error metrics. Traditionally, such method have followed. one of two basic strategies; A stopping rules or the rules of determine multipliers. A central hypothesis of this study is that better estimates can be obtained by combining the two strategies. A new multiplier sequence is proposed, which used in conjunction with any of the stopping rules, is shown to improve the performance of estimator which relies solely on a stopping rule.

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The Visualization of Vibration and Noise of The Rotary Compressor during One Cycle of Crank Shaft by use of Short Time Fourier Transform (SFT를 이용한 로터리 압축기 크랭크 1회전 동안의 실시간 진동소음의 가시화)

  • Ahn, Se-Jin;Jeong, Weui-Bong;Park, Jean-Hyung;Hwang, Seon-Woong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.346.1-346
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    • 2002
  • There have been many studies to visualize the vibration and noise of rotary compressor. Most of these studies assumed that the signal is stationary and the time-averaged signal is used for visualization. However, the noise and vibration signals generated during one cycle of crank shaft vary continuously. In this paper, the noise and vibration of rotary compressor which vary continuously are visualized by short time fourier transform method. (omitted)

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An optical encryption system for Joint transform correlator (JTC 구조를 이용한 광학적 영상 암호화 시스템)

  • 박세준;서동환;이응대;김종윤;김정우;이하운;김수중
    • Proceedings of the IEEK Conference
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    • 2001.06b
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    • pp.63-66
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    • 2001
  • In this paper a binary image encryption technique and decryption system based on a joint transform correlator (JTC) are Proposed. In this method, a Fourier transform of the encrypted image is used as the encrypted data and a Fourier transform of the random phase is used as the key code. The original binary image can be reconstructed on a square law device, such as a CCD camera after the joint input is inverse Fourier transformed. The proposed encryption technique does not suffer from strong auto-correlation terms appearing in the output plane. Based on computer simulations, the proposed encryption technique and decoding system were demonstrated as adequate for optical security applications.

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Closed Form Expression of Cutting Forces and Tool Deflection in End Milling Using Fourier Series (푸리에 급수를 이용한 엔드밀링 절삭력 및 공구변형 표현)

  • Ryu, Shi-Hyoung
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.9 s.186
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    • pp.76-83
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    • 2006
  • Machining accuracy is closely related with tool deflection induced by cutting forces. In this research, cutting forces and tool deflection in end milling are expressed as a closed form of tool rotational angle and cutting conditions. The discrete cutting fores caused by periodic tool entry and exit are represented as a continuous function using the Fourier series expansion. Tool deflection is predicted by direct integration of the distributed loads on cutting edges. Cutting conditions, tool geometry, run-outs and the stiffness of tool clamping part are considered together far cutting forces and tool deflection estimation. Compared with numerical methods, the presented method has advantages in prediction time reduction and the effects of feeding and run-outs on cutting forces and tool deflection can be analyzed quantitatively. This research can be effectively used in real time machining error estimation and cutting condition selection for error minimization since the form accuracy is easily predicted from tool deflection curve.

A Study on Recognition of the Event-Related Potential in EEG Signals Using Wavelet and Neural Network (웨이브렛과 신경회로망을 이용한 뇌 유발 전위의 인식에 관한 연구)

  • 최완규;나승유;이희영
    • Proceedings of the IEEK Conference
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    • 2000.06e
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    • pp.127-130
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    • 2000
  • Classification of Electroencephalogram(EEG) makes one of key roles in the field of clinical diagnosis, such as detection for epilepsy. Spectrum analysis using the fourier transform(FT) uses the same window to signals, so classification rate decreases for nonstationary signals such as EEG's. In this paper, wavelet power spectrum method using wavelet transform which is excellent in detection of transient components of time-varying signals is applied to the classification of three types of Event Related Potential(EP) and compared with the result by fourier transform. In the experiments, two types of photic stimulation, which are caused by eye opening/closing and artificial light, are used to collect the data to be classified. After choosing a specific range of scales, scale-averaged wavelet spectrums extracted from the wavelet power spectrum is used to find features by Back-Propagation(13P) algorithm. As a result, wavelet analysis shows superiority to fourier transform for nonstationary EEG signal classification.

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A study on the fingerpring enhancement using the fourier transform (퓨리에 변환을 이용한 지문영상의 개선에 관한 연구)

  • 곽윤식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.8
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    • pp.1897-1904
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    • 1996
  • This study intends to extract the efficient spectrum characteristics of the fingerpriint image in the fourier domain and to apply them for image enhancement. In order to effectively acquire the spectrum characteristics of the fingerprint in the fourier domain, I set up a 1*64 window as a processing unit and, combining various kinds of the record and overlap lengths, made the power spectrum density estimate for each of those combinations. each spectrum characeristic acquired was applied to a re-synthesis process of the fingerprint image, and, through comparisons and evaluations of the resultant images, an improved gray scale image could be obtained. The validity of this algorithm could be confirmed by the comparison and evaluation fo the binary images which were grained on the established method and the one I used in this experiment.

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