• Title/Summary/Keyword: Fourier Spectrum

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Correction Method of Wiener Spectrum (WS) on Digital Medical Imaging Systems (디지털 의료영상에서 위너스펙트럼(Wiener spectrum)의 보정방법)

  • Kim, Jung-Min;Lee, Ki-Sung;Kim, You-Hyun
    • Journal of radiological science and technology
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    • v.32 no.1
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    • pp.17-24
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    • 2009
  • Noise evaluation for an image has been performed by root mean square (RMS) granularity, autocorrelation function (ACF), and Wiener spectrum. RMS granularity stands for standard deviation of photon data and ACF is acquired by integration of 1 D function of distance variation. Fourier transform of ACF results in noise power spectrum which is called Wiener spectrum in image quality evaluation. Wiener spectrum represents noise itself. In addition, along with MTF, it is an important factor to produce detective quantum efficiency (DQE). The proposed evaluation method using Wiener spectrum is expected to contribute to educate the concept of Wiener spectrum in educational organizations, choose the appropriate imaging detectors for clinical applications, and maintain image quality in digital imaging systems.

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Simulations of Two-Dimensional Electronic Correlation Spectra

  • Kim, Hak Jin;Jeon, Seong Jun
    • Bulletin of the Korean Chemical Society
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    • v.22 no.8
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    • pp.807-815
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    • 2001
  • Two-dimensional (2D) correlation method, which generates the synchronous and the asynchronous 2D spectrum by complex cross correlation of the Fourier transformed spectra, is an analysis method for the changes of the sample spectrum induced by vari ous perturbations. In the present work, the 2D electronic correlation spectra have been simulated for the cases where the sample spectrum composed of two gaussian bands changes linearly. When only the band amplitudes of the sample spectrum change, the synchronous spectrum shows strong peaks at the band centers of the sample spectrum, but the asynchronous spectrum does not make peaks. When the sample spectrum shifts without changing intensity and width, the synchronous spectrum shows peaks around the initial and final positions of the band maximum and the asynchronous spectrum shows long peaks spanning the shifting range. The band width change produces the complex 2D correlation spectra. When the sample spectrum shifts with band broadening, the width change by 50% of full width at half maximum (FWHM) does not give so large an effect on the correlation spectrum as the spectral shift by one half of FWHM of the sample spectrum.

The Position Control of DC Motor using the System Modeling based on the DFT (DFT 기반의 시스템 모델링을 이용한 DC Motor의 위치제어)

  • Ahn, Hyun-Jin;Shim, Kwan-Shik;Lim, Young-Cheol;Nam, Hae-Kon;Kim, Gwang-Heon;Kim, Eui-Sun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.4
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    • pp.542-548
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    • 2012
  • This study presents a new method of system modeling by using the Discrete Fourier Transform for the position control system of DC Motor. And the proposed method is similar to the method of System Identification by analysis of correlation of the measured input-output data. The measured output signals are transformed to the frequency domain using DFT. The Fourier Spectrum of the transformed signals is used for knowing to the feature of having an important effect on the system. And transfer function of the second order system is estimated by the dominant parameter which is computed in the magnitude and the phase of Fourier spectrum of the transformed signals. In addition, the output signal includes the unique feature of system. So, although the basic parameter of the system is unknown for us, the proposed method has an advantage to system modeling. And the controller is easily designed by the estimated transfer function. Thus, in this paper, the proposed method is applied to the system modeling for the position control system of DC Motor and the PD-controller is designed by the estimated model. And the efficiency and the reliability of the proposed method are verified by the experimental result.

Analysis of Doppler Spectra in an Airborne Radar (항공기용 레이다에서의 도플러 스펙트럼 분석)

  • Lee, Jong-Gil
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2008.10a
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    • pp.628-631
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    • 2008
  • For the remote sensing purpose, radar systems extract the target information, such as the magnitude of reflectivity and the velocity from the spectrum analysis of return echoes through the Doppler filter bank. This conventional spectrum estimation method, FFT(Fast fourier Transform) is widely used in most radar systems. However, the frequency resolution of return echoes can be seriously degraded in fast moving targets because of the short acquisition time. Since the high Doppler frequency resolution is important in the detection and tracking of fast moving targets, it can cause very unsatisfactory results. Therefore, in this paper, the parameter spectrum estimation method called AR(Autoregressive) spectrum estimation, is investigated to overcome these problems.

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A Probabilistic Interpretation of the KL Spectrum

  • Seongbaek Yi;Park, Byoung-Seon
    • Journal of the Korean Statistical Society
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    • v.29 no.1
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    • pp.1-8
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    • 2000
  • A spectrum minimizing the frequency-domain Kullback-Leibler information number has been proposed and used to modify a spectrum estimate. Some numerical examples have illustrated the KL spectrum estimate is superior to the initial estimate, i.e., the autocovariances obtained by the inverse Fourier transformation of the KL spectrum estimate are closer to the sample autocovariances of the given observations than those of the initial spectrum estimate. Also, it has been shown that a Gaussian autoregressive process associated with the KL spectrum is the closest in the timedomain Kullback-Leibler sense to a Gaussian white noise process subject to given autocovariance constraints. In this paper a corresponding conditional probability theorem is presented, which gives another rationale to the KL spectrum.

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Tone Interference Cancellation Algorithm for Direct-Sequence Spread-Spectrum Systems (직접 대역 확산 시스템을 위한 톤 간섭 제거 알고리듬)

  • Lee, Yong-Wook;Kang, Dong-Hoon;Park, Hyo-Bae;Oh, Wang-Rok
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.8
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    • pp.10-15
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    • 2009
  • In this paper, we propose a frequency-domain tone interference cancellation algorithm for direct-sequence spread spectrum systems. In the previously proposed frequency-domain interference cancellation algorithms, the interference signal is estimated and compensated in the frequency-domain and then, with IFFT (inverse Fourier transform), the compensated frequency-domain signal is transformed to the time domain signal for the remaining receiver operations. Unlike the previous works, the proposed algorithm does not requires IFFT and thus, the proposed algorithm not only shows the virtually identical performance but also requires lower hardware complexity compared to the previous works.

Characterization of Trabecular Bone Structure using 2D Fourier Transform and Fractal Analysis (Fractal dimension과 2차원 푸리에변환을 이용한 수질골의 특성화에 관한 실험적 연구)

  • Lee Keon Il
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.28 no.2
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    • pp.339-353
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    • 1998
  • The purpose of this study was to investigate whether a radiographic estimate of osseous fractal dimension and power spectrum of 2D discrete Fourier transform is useful in the characterization of structural changes in bone. Ten specimens of bone were decalcified in fresh 50 ml solutions of 0.1 N hydrochloric acid solution at cummulative timed periods of 0 and 90 minutes. and radiographed from 0 degree projection angle controlled by intraoral parelleling device. I performed one-dimensional variance. fractal analysis of bony profiles and 2D discrete Fourier transform. The results of this study indicate that variance and fractal dimension of scan line pixel intensities decreased significantly in decalcified groups but Fourier spectral analysis didn't discriminate well between control and decalcified specimens.

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Research on Multiple-image Encryption Scheme Based on Fourier Transform and Ghost Imaging Algorithm

  • Zhang, Leihong;Yuan, Xiao;Zhang, Dawei;Chen, Jian
    • Current Optics and Photonics
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    • v.2 no.4
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    • pp.315-323
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    • 2018
  • A new multiple-image encryption scheme that is based on a compressive ghost imaging concept along with a Fourier transform sampling principle has been proposed. This further improves the security of the scheme. The scheme adopts a Fourier transform to sample the original multiple-image information respectively, utilizing the centrosymmetric conjugation property of the spatial spectrum of the images to obtain each Fourier coefficient in the most abundant spatial frequency band. Based on this sampling principle, the multiple images to be encrypted are grouped into a combined image, and then the compressive ghost imaging algorithm is used to improve the security, which reduces the amount of information transmission and improves the information transmission rate. Due to the presence of the compressive sensing algorithm, the scheme improves the accuracy of image reconstruction.

불확정적 특성을 고려한 응력해석에 관한 일고찰

  • 정명채
    • Computational Structural Engineering
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    • v.6 no.4
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    • pp.10-13
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    • 1993
  • 본 고에서는 불확정적 Approach에 의한 구조물 거동파악의 일례를 소개한다. 이 예에서는 극치통계와 엔트로피 최대원리를 이용하여, 부동침하를 받은 쉘구조물의 응력을 추정하는 이론을 취급한다. 부동침하는 불확정적 특성을 비교적 많이 지니고 있으며, 특히 구조물을 지지하고 있는 지반의 경우는 그 물리적 정수와 침하특성이 확정론적으로는 취급이 곤란한 경우가 많다고 생각된다. 구체적으로 극치통계법에서는 부동침하를 기초 Ring의 원주방향으로의 Fourier 계수로 가정하여, 위상각과 침하의 2승평균치가 확정치로 주어졌을 때, 진폭 Spectrum을 불확정변수로 간주하여 추정하는 방법을 소개한다. 일단 진폭 Spectrum이 구해지면 응력은 간단히 구해지므로 여기서는 Spectrum에 관해서만 언급하기로 한다.

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Design of RF Digital Spectrum Analyser for Mobile Communication (이동 통신용 RF 디지털 스펙트럼 분석기 설계)

  • Woo, Kwang-Joon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.44 no.6
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    • pp.29-34
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    • 2007
  • It is important to analyse the frequency spectrum for the measurement of modulated signal, distortion, and noise. The frequency spectrum analysis is performed by the execution of Radix-2 DIT DFT i.e. FFT algorithm. The discrete input signal converted by A/D converter from the input signal in time domain is mathematically transformed to the frequency spectrum by FFT algorithm. In this study, we design the digital spectrum analyser by the hardware based on the TMS320F2812 DSP and AD9244 converter, and by the software based on the C28x S/W modules. We can timely analyse the frequency spectrum in mobile communication system by the digital frequency analyser based on the high performance DSP and S/W modules. This real-time analysing capability is the important performance in the internet-based mobile communication server system.