• Title/Summary/Keyword: Fourier 변환

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Linear Spectral Method for Simulating the Generation of Regular Waves by a Moving Bottom in a 3-dimensional Space (3차원 공간에서 바닥의 움직임에 의한 규칙파의 생성을 모의할 수 있는 선형 스펙트럼법)

  • Jae-Sang Jung;Changhoon Lee
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.36 no.2
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    • pp.70-79
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    • 2024
  • In this study, we introduce a linear spectral method capable of simulating wave generation and transformation caused by a moving bottom in a 3-dimensional space. The governing equations are linear dynamic free-surface boundary conditions and linear kinematic free-surface boundary conditions, which are solved in Fourier space. Solved velocity potential and free-surface displacement should satisfy continuity equation and kinematic bottom boundary condition. For numerical analysis, a 4th order Runge-Kutta method was utilized to analyze the time integral. The results obtained in Fourier space can be converted into velocity potential and free-surface displacement in a real space using inverse Fourier transform. Regular waves generated by various types of moving bottoms were simulated with the linear spectral method. Additionally, obliquely generated regular waves using specified bottom movements were simulated. The results obtained from the spectral method were compared to analytical solutions, showing good agreement between the two.

Image Retrieval Using Spatial Color Correlation and Texture Characteristics Based on Local Fourier Transform (색상의 공간적인 상관관계와 국부적인 푸리에 변환에 기반한 질감 특성을 이용한 영상 검색)

  • Park, Ki-Tae;Moon, Young-Shik
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.44 no.1
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    • pp.10-16
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    • 2007
  • In this paper, we propose a technique for retrieving images using spatial color correlation and texture characteristics based on local fourier transform. In order to retrieve images, two new descriptors are proposed. One is a color descriptor which represents spatial color correlation. The other is a descriptor combining the proposed color descriptor with texture descriptor. Since most of existing color descriptors including color correlogram which represent spatial color correlation considered just color distribution between neighborhood pixels, the structural information of neighborhood pixels is not considered. Therefore, a novel color descriptor which simultaneously represents spatial color distribution and structural information is proposed. The proposed color descriptor represents color distribution of Min-Max color pairs calculating color distance between center pixel and neighborhood pixels in a block with 3x3 size. Also, the structural information which indicates directional difference between minimum color and maximum color is simultaneously considered. Then new color descriptor(min-max color correlation descriptor, MMCCD) containing mean and variance values of each directional difference is generated. While the proposed color descriptor includes by far smaller feature vector over color correlogram, the proposed color descriptor improves 2.5 % ${\sim}$ 13.21% precision rate, compared with color correlogram. In addition, we propose a another descriptor which combines the proposed color descriptor and texture characteristics based on local fourier transform. The combined method reduces size of feature vector as well as shows improved results over existing methods.

A design of FFT processor for EEG signal analysis (뇌전기파 분석용 FFT 프로세서 설계)

  • Kim, Eun-Suk;Shin, Kyung-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.11
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    • pp.2548-2554
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    • 2010
  • This paper describes a design of fast Fourier transform(FFT) processor for EEG(electroencephalogram) signal analysis for health care services. Hamming window function with 1/2 overlapping is adopted to perform short-time FFT(ST-FFT) of a long period EEG signal occurred in real-time. In order to analyze efficiently EEG signals which have frequency characteristics in the range of 0 Hz to 100 Hz, a 256-point FFT processor is designed, which is based on a single-memory bank architecture and the radix-4 algorithm. The designed FFT processor has been verified by FPGA implementation, and has high accuracy with arithmetic error less than 2%.

Sleep Disturbance Classification Using PCA and Sleep Stage 2 (주성분 분석과 수면 2기를 이용한 수면 장애 분류)

  • Shin, Dong-Kun
    • The Journal of the Korea Contents Association
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    • v.11 no.4
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    • pp.27-32
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    • 2011
  • This paper presents a methodology for classifying sleep disturbance using electroencephalogram (EEG) signal at sleep stage 2 and principal component analysis. For extracting initial features, fast Fourier transforms(FFT) were carried out to remove some noise from EEG signal at sleep stage 2. In the second phase, we used principal component analysis to reduction from EEG signal that was removed some noise by FFT to 5 features. In the final phase, 5 features were used as inputs of NEWFM to get performance results. The proposed methodology shows that accuracy rate, specificity rate, and sensitivity were all 100%.

An Explicit Solution of EM Algorithm in Image Deblurring: Image Restoration without EM iterations (영상흐림보정에서 EM 알고리즘의 일반해: 반복과정을 사용하지 않는 영상복원)

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • v.16 no.3
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    • pp.409-419
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    • 2009
  • In this article, an explicit solution of the EM algorithm for the image deburring is presented. To obtain the restore image from the strictly iterative EM algorithm is quite time-consumed and impractical in particular when the underlying observed image is not small and the number of iterations required to converge is large. The explicit solution provides a quite reasonable restore image although it exploits the approximation in the outside of the valid area of image, and also allows to obtain the effective EM solutions without iteration process in real-time in practice by using the discrete finite Fourier transformation.

Voiced-Unvoiced-Silence Detection Algorithm using Perceptron Neural Network (퍼셉트론 신경회로망을 사용한 유성음, 무성음, 묵음 구간의 검출 알고리즘)

  • Choi, Jae-Seung
    • The Journal of the Korea institute of electronic communication sciences
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    • v.6 no.2
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    • pp.237-242
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    • 2011
  • This paper proposes a detection algorithm for each section which detects the voiced section, unvoiced section, and the silence section at each frame using a multi-layer perceptron neural network. First, a power spectrum and FFT (fast Fourier transform) coefficients obtained by FFT are used as the input to the neural network for each frame, then the neural network is trained using these power spectrum and FFT coefficients. In this experiment, the performance of the proposed algorithm for detection of the voiced section, unvoiced section, and silence section was evaluated based on the detection rates using various speeches, which are degraded by white noise and used as the input data of the neural network. In this experiment, the detection rates were 92% or more for such speech and white noise when training data and evaluation data were the different.

Construction of the Electrochemical Impedance Measurement System Using Fourier Transform (푸리에 변환을 이용한 전기화학적 임피던스 측정 시스템 제작)

  • Hwang, Eui-Jin;Oh, Sang-Hyub
    • Journal of the Korean Chemical Society
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    • v.35 no.6
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    • pp.713-719
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    • 1991
  • Electrochemical impedance measurement system using Fourier transform was constructed in the range of the frequencies up to 100 kHz. This system consists of pseudo-random noise generator, specially designed potentiostat, fast data acquisition system, system controller, and computer interface. The performance of the constructed system was found to be almost same as the commercially available system using lock-in amplifier. Measuring time was significantly reduced because the minimum time for the measurement depended on one cycle of the lowest frequency used. It would be possible to study time-varying electrochemical impedance systems such as the initial stages of corrosion processes using this system.

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Determination of Marine Gravity anomaly Around the Korean Peninsula from GEOSAT Satellite Altimeter Measurements (GEOSAT 인공위성 해면고도 관측자료를 이용한 한반도 주변해역에서 의 중력이상의 결정)

  • 양철수;최광선
    • 한국해양학회지
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    • v.29 no.4
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    • pp.383-391
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    • 1994
  • Sea surface height geoidal undulation, and gravity anomaly derived from satellite altimeter measurements are described. Assuming mean sea surface height (MSSH) as geoidal undulation, MSSH was converted to gravity anomaly. the result shows that the gravity anomaly derived from satellite altimeter data can be mapped to an accuracy of the surface ship gravity measurements. The data used for the conversion is the two-year mean sea surface height obtained from GEOSAT Exact Repeat Mission. The conversion was carried out using fast Fourier transform with plane approximation. In this process, the so called remove-restore method was employed.

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Dynamic Characteristics of a Finite Beam Subjected to an Axial Force and Moving Loads with Constant Acceleration (일정가속도(一定加速度)의 이동하중(移動荷重)과 축하중(軸荷重)이 작용(作用)하는 유한(有限)보의 동특성(動特性))

  • Hong, Dong Pyo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.2 no.3
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    • pp.67-74
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    • 1982
  • The dynamic behaviour of an elastically supported finite beam subjected to an axial force and moving loads with acceleration is investigated. Within the Euler beam theory the solutions are obtained by using finite Fourier and Laplace transformation methods with respect to space and time variable. Integrations involved in the theoretical results are carried out by Simpson's rule. From the results of the theoretical analysis, it is evident that dynamic behaviour of the beam are affected remarkably by acceleration and axial force.

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Modeling of Piano Sound Using Method of Line-Segment Approximation and Curve Fitting (선분 근사법과 곡선의 적합성을 이용한 피아노 음의 모델링)

  • Lim, Hun;Chong, Ui-Pil
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.3
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    • pp.86-91
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    • 2000
  • In this paper, we will discuss the characteristics of the magnitude and the phase of the piano sound in frequency domain by using the FFT(Fast Fourier Transform). The method deciding the parameters representing those sounds through the mathematical model is described. We used the curve fitting method for the modeling of the harmonic part of the sound including the fundamental frequency in order to minimize the errors between original sounds and modeled sounds. furthermore, we used the line segment approximation method for the modeling of the noise part around fundamental frequency. We also applied the same method for the phase model and could get the modeled sound to be similar to the original sound using the parameters. Therefore the high compression ratio comparing the modeled sound to the original sound is achieved.

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