• Title/Summary/Keyword: Iterative Fourier transform algorithm

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Analysis of Electromagnetic Scattering Phenomena in Frequency Dependent Grounding Systems (주파수 의존 접지계의 전자파 스캐터링 현상의 해석)

  • Kim, Wang;Yim, Han-Suck
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.6
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    • pp.616-623
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    • 1990
  • This paper includes the analysis and formulation of a new model for studying scattering from wire meshes that is more efficient and simpler to apply than the previous methods. In the new method, the conjugate gradient method is employed to improve each previous iterative and the fast Fourier transform (FFT) technique is utilized. A numerical computation of mesh scattering algorithm has been carried out in the Spectral Domain. A study on the electromagnetic properties such as reflection coefficients, induced currents and aperture fields has been presented and compared with data calculated by other methods to support the validity of the algorithm.

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Diffractive patterning on Cr thin film using femtosecond laser pulses (펨토초 레이저에 의한 크롬박막 미세 회절패턴 제작)

  • Kim, Jae-Gu;Cho, Sung-Hak;Chang, Won-Seok;Na, Suck-Joo;Whang, Kyung-Hyun
    • Laser Solutions
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    • v.10 no.4
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    • pp.18-22
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    • 2007
  • In this paper, we suggested the femtosecond laser processing using the mask which makes Gaussian spatial beam distribution to a normalized distribution by Fresenel diffraction. Holography pattern of the size of $320{\times}320{\mu}m^2$ on the Cr thin film on glass substrate with a pixel size of $5{\times}5{\mu}m^2$ was fabricated according to the pattern generated by the iterative Fourier transform algorithm(IFTA) algorithm. We analysed the damage threshold with an assumption the power distribution as Gaussian profile as 45 $mJ/cm^2$. The regenerated image of letters through the diffractive pattern was well recognized at the screen.

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Numerical Simulation of Input Beam Effects on Diffractive Optical Elements (입력 빔 형태에 따른 회절광학소자에서의 빔 효율 시뮬레이션)

  • Kim, Jong-Gi;Jeong, Yun-Seop;Seo, Yong-Gon;O, Gyeong-Hwan
    • Proceedings of the Optical Society of Korea Conference
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    • 2008.02a
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    • pp.197-198
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    • 2008
  • 본 논문에서는 Iterative Fourier Transform Algorithm $Method(IFTA)^{(1)}$를 사용하여 Diffractive Optical Element(DOE)를 통과한 빛의 Shape이 Input Beam의 각 조건에 따라 얼마나 원하는 형태에 가까워지는지를 Input 대비 Output의 Efficiency와 Signal to Noise Ratio(SNR) Simulation 을 통해 알아보았다. Input beam의 종류는 Gaussian, Supergaussian, Plane, Spherical, Quadratic wave 으로 하고 각각의 경우에 대해 Beam Diameter, Polarization, Wavelength를 변화시키며 DOE에서의 회절 현상을 simulation하였다. 이때 Polarization은 Linear, Circular, Elliptical 형태로 변화시켰고 Wavelength는 332.8nm에서 832.8nm까지의 범위에 대해 연구하였다. 또한 relative edge가 있을 때와 없을 때를 비교하여 가장 효율이 높은 Input Beam의 형태와 그 parameter에 대해 연구하였다.

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Maximum Entropy Power Spectral Estimation of Two-Dimensional Signal (2차원 신호의 최대 정보량을 갖는 전력 스펙트럼 추정)

  • Sho, Sang-Ho;Kim, Chong-Kyo;Lee, Moon-Ho
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.3
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    • pp.107-114
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    • 1985
  • This paper presents the iterative algorithm for obtaining the ME PSE(Maximum Entropy Power Spectral Estimation) of 2-dimensional signals. This problem involves a correction matching power spectral estimate that can be represented as the reciprocal of the spectral of 2-dimensional signals. This requires two matrix inversion every iterations. Thus, we compensate the matrix to be constantly positive definite with relaxational parameters. Using Row/Column decomposition Discrete Fourier Transform, we can decrease a calculation quantity. Using Lincoln data and white noise, this paper examines ME PSE algorithms. Finally, the results output at the graphic display device. The 2-dimensional data have the 3-dimensional axis components, and, this paper develops 3-dimensional graphic output algorithms using 2-dimensional DGL(Device Independent Graphic Library) which is prepared for HP-1000 F-series computer.

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Design and Fabrication of Binary Diffractive Optical Elements for the Creation of Pseudorandom Dot Arrays of Uniform Brightness (균일 밝기 랜덤 도트 어레이 생성을 위한 이진 회절광학소자 설계 및 제작)

  • Lee, Soo Yeon;Lee, Jun Ho;Kim, Young-Gwang;Rhee, Hyug-Gyo;Lee, Munseob
    • Korean Journal of Optics and Photonics
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    • v.33 no.6
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    • pp.267-274
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    • 2022
  • In this paper, we report the design and fabrication of binary diffractive optical elements (DOEs) for random-dot-pattern projection for Schlieren imaging. We selected the binary phase level and a pitch of 10 ㎛ for the DOE, based on cost effectiveness and ease of manufacture. We designed the binary DOE using an iterative Fourier-transform algorithm with binary phase optimization. During initial optimization, we applied a computer-generated pseudorandom dot pattern of uniform intensity as a target pattern, and found significant intensity nonuniformity across the field. Based on the evaluation of the initial optimization, we weighted the target random dot pattern with Gaussian profiles to improve the intensity uniformity, resulting in the improvement of uniformity from 52.7% to 90.8%. We verified the design performance by fabricating the designed binary DOE and a beam projector, to which the same was applied. The verification confirmed that the projector produced over 10,000 random dot patterns over 430 mm × 430 mm at a distance of 5 meters, as designed, but had a slightly less uniformity of 84.5%. The fabrication errors of the DOE, mainly edge blurring and spacing errors, were strong possibilities for the difference.

A Turbo-coded OFDM Transmission System Using Orthogonal Code Multiplexing (직교코드 다중화를 이용한 터보부호화된 OFDM 전송 시스템)

  • 정방철;오성근;선우명훈
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.5A
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    • pp.333-340
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    • 2003
  • In this paper, we propose a new turbo-coded orthogonal frequency division multiplexing (OFDM) transmission scheme that can improve greatly the performance by making all the turbo-coded symbols have the same reliability for OFDM transmission over a frequency selective fading channel. The same reliability, that is, the same fading can be accomplished through multiplexing of turbo-coded symbols using distinct orthogonal codes and spreading over the whole effective subcarriers (hereafter, called as the orthogonal code multiplexing (OCM)). As for the orthogonal code selection, we choose the set of the discrete Fourier transform (DFT) basis sequences, since the code set holds the orthogonality irrespective of the length and also has the equal energy property. We perform computer simulations using the Log-maximum-a-posteriori (Log-MAP) algorithm for iterative decoding in order to assess the performance of the proposed transmission scheme.

Design of the Computer Generated Holographic Diffuser (컴퓨터 생성 홀로그래픽 디퓨저의 설계)

  • Choi, Kyong-Sik;Yoon, Jin-Seon;Kim, Nam
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.38 no.5
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    • pp.357-366
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    • 2001
  • In this paper, computer generated holographic diffuser with high diffraction efficiency and uniformity was designed by the modified iterative Fourier transform algorithm. Newly proposed method to design a CGHD is to flip and to combine BPHs or MPHs, so it makes the computation time decreased and it makes the reconstructed signal area enlarged. The designed sixteen phase holographic diffuser had the high diffraction efficiency of 85.20%, the uniformity of 2.43%, and the average signal to noise ratio of 18.97[㏈]. Also, we compared the CGHD with a 128 level pseudo random phase diffuser about the diffraction efficiency and the uniformity. The proposed diffuser can be provided good performance for a holographic diffuser and a next-generation display device.

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An Analysis of 3-D Object Characteristics Using Locally Linear Embedding (시점별 형상의 지역적 선형 사상을 통한 3차원 물체의 특성 분석)

  • Lee, Soo-Chahn;Yun, Il-Dong
    • Journal of Broadcast Engineering
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    • v.14 no.1
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    • pp.81-84
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    • 2009
  • This paper explores the possibility of describing objects from the change in the shape according to the change in viewpoint. Specifically, we sample the shapes from various viewpoints of a 3-D model, and apply dimension reduction by locally linear embedding. A low dimensional distribution of points are constructed, and characteristics of the object are described from this distribution. Also, we propose two 3-D retrieval methods by applying the iterative closest point algorithm, and by applying Fourier transform and measuring similarity by modified Housdorff distance, and present experimental results. The proposed method shows that the change of shape according to the change in viewpoint can describe the characteristics of an object.

On the receding contact plane problem for bi-FGM-layers indented by a flat indenter

  • Cong Wang;Jie Yan;Rui Cao
    • Structural Engineering and Mechanics
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    • v.85 no.5
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    • pp.621-633
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    • 2023
  • The major objective of this paper is to study the receding contact problem between two functional graded layers under a flat indenter. The gravity is assumed negligible, and the shear moduli of both layers are assumed to vary exponentially along the thickness direction. In the absence of body forces, the problem is reduced to a system of Fredholm singular integral equations with the contact pressure and contact size as unknowns via Fourier integral transform, which is transformed into an algebraic one by the Gauss-Chebyshev quadratures and polynomials of both the first and second kinds. Then, an iterative speediest descending algorithm is proposed to numerically solve the system of algebraic equations. Both semi-analytical and finite element method, FEM solutions for the presented problem validate each other. To improve the accuracy of the numerical result of FEM, a graded FEM solution is performed to simulate the FGM mechanical characteristics. The results reveal the potential links between the contact stress/size and the indenter size, the thickness, as well as some other material properties of FGM.

An Iterative Digital Image Watermarking Technique using Encrypted Binary Phase Computer Generated Hologram in the DCT Domain (DCT 영역에서 암호화된 이진 위상 컴퓨터형성 홀로그램을 이용한 반복적 디지털 영상 워터마킹 기술)

  • Kim, Cheol-Su
    • Journal of Korea Society of Industrial Information Systems
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    • v.14 no.3
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    • pp.15-21
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    • 2009
  • In this paper, we proposed an iterative digital image watermarking technique using encrypted binary phase computer generated hologram in the discrete cosine transform(OCT) domain. For the embedding process of watermark, using simulated annealing algorithm, we would generate a binary phase computer generated hologram(BPCGH) which can reconstruct hidden image perfectly instead of hidden image and repeat the hologram and encrypt it through the XOR operation with key image that is ramdomly generated binary phase components. We multiply the encrypted watermark by the weight function and embed it into the DC coefficients in the DCT domain of host image and an inverse DCT is performed. For the extracting process of watermark, we compare the DC coefficients of watermarked image and original host image in the DCT domain and dividing it by the weight function and decrypt it using XOR operation with key image. And we recover the hidden image by inverse Fourier transforming the decrypted watermark. Finally, we compute the correlation between the original hidden image and recovered hidden image to determine if a watermark exits in the host image. The proposed watermarking technique use the hologram information of hidden image which consist of binary values and encryption technique so it is very secure and robust to the external attacks such as compression, noises and cropping. We confirmed the advantages of the proposed watermarking technique through the computer simulations.