• 제목/요약/키워드: Two-dimensional fast Fourier transform (2-D FFT)

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Polynomial 변환을 이용한 고속 2 차원 FFT (Two dimensional FFT by Polynomial Transform)

  • 최환석;김원하;한승수
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 신호처리소사이어티 추계학술대회 논문집
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    • pp.473-476
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    • 2003
  • We suggest 2 dimensional Fast Fourier Transform using Polynomial Transform and integer Fast Fourier Transform. Unlike conventional 2D-FFT using the direct quantization of twiddle factor, the suggested 2D-FFT adopts implemented by the lifting so that the suggested 2D-FFT is power adaptable and reversible. Since the suggested FFT performg integer-to-integer mapping, the transform can be implemented by only bit shifts and auditions without multiplications. In addition. polynomial transform severely reduces the multiplications of 2D-FFT. While preserving the reversibility, complexity of this algorithm is shown to be much lower than that of any other algorithms in terms of the numbers of additions and shifts.

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Robust Digital Watermarking for High-definition Video using Steerable Pyramid Transform, Two Dimensional Fast Fourier Transform and Ensemble Position-based Error Correcting

  • Jin, Xun;Kim, JongWeon
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권7호
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    • pp.3438-3454
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    • 2018
  • In this paper, we propose a robust blind watermarking scheme for high-definition video. In the embedding process, luminance component of each frame is transformed by 2-dimensional fast Fourier transform (2D FFT). A secret key is used to generate a matrix of random numbers for the security of watermark information. The matrix is transformed by inverse steerable pyramid transform (SPT). We embed the watermark into the low and mid-frequency of 2D FFT coefficients with the transformed matrix. In the extraction process, the 2D FFT coefficients of each frame and the transformed matrix are transformed by SPT respectively, to produce two oriented sub-bands. We extract the watermark from each frame by cross-correlating two oriented sub-bands. If a video is degraded by some attacks, the watermarks of frames contain some errors. Thus, we use an ensemble position-based error correcting algorithm to estimate the errors and correct them. The experimental results show that the proposed watermarking algorithm is imperceptible and moreover is robust against various attacks. After embedding 64 bits of watermark into each frame, the average peak signal-to-noise ratio between original frames and embedded frames is 45.7 dB.

A 2D-FFT algorithm on mesh connected multiprocessor systems

  • Kunieda, Hiroaki;Itoh, Kazuhito
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1987년도 한국자동제어학술회의논문집(한일합동학술편); 한국과학기술대학, 충남; 16-17 Oct. 1987
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    • pp.851-856
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    • 1987
  • A direct computation algorithm of two dimensional fast Fourier transform (2D-FFT) is considered here for implementation in mesh connected multiprocessor array of both a 2D-toroidal and a rectangular type. Results are derived for a hardware algorithm including data allocation and interprocessor communications. A performance comparison is carried out between the proposed direct 2D-FFT computation and the conventional one to show that a new algorithm gives higher speedup under a reasonable assumption on the speeds of operations.

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듀얼첩간 위상차이를 이용한 저복잡도 FMCW 감시 레이더 알고리즘 (Low Complexity FMCW Surveillance Radar Algorithm Using Phase Difference of Dual Chirps)

  • 진영석;현유진;김상동;김봉석;이종훈
    • 대한임베디드공학회논문지
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    • 제12권2호
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    • pp.71-77
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    • 2017
  • This paper proposes a low complexity frequency modulated continuous wave (FMCW) surveillance radar algorithm. In the conventional surveillance radar systems, the two dimensional (2D) fast Fourier transform (FFT) method is usually employed in order to detect the distance and velocity of the targets. However, in a surveillance radar systems, it is more important to immediately detect the presence or absence of the targets, rather than accurately detecting the distance or speed information of the target. In the proposed algorithm, in order to immediately detect the presence or absence of targets, 1D FFT is performed on the first and M-th bit signals among a total of M beat signals and then a phase change between two FFT outputs is observed. The range of target is estimated only when the phase change occurs. By doing so, the proposed algorithm achieves a significantly lower complexity compared to the conventional surveillance scheme using 2D FFT. In addition, show in order to verify the performance of the proposed algorithm, the simulation and the experiment results are performed using 24GHz FMCW radar module.

고속 푸리에 변환을 이용한 계층적 위상기반 3차원 객체 추출 기법 (3D Object Extraction Algorithm Based on Hierarchical Phase Using Fast Fourier Transform)

  • 한규필;이채수;박양우;엄태억
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 하계종합학술대회 논문집(3)
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    • pp.145-148
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    • 2001
  • This paper presents a phase-based stereo matching algorithm in order to efficiently extract 3-dimensional objects from two 2D images. Conventional phase-based methods, especially using windowed Fourier phases, inherit good properties in the cage of hierarchical approaches, because they basically use a multi-resolution phase map. On the contrary, their computational cost is too heavy. Therefore, a fast hierarchical approach, using multi-resolution phase-based strategy and reducing redundancies of phase calculations based on FFT concept is proposed in this paper. In addition, a structural matching algorithm on the phase domain is presented to improve the matching quality. In experimental results. it is shown that the computation loads are considerably reduced about 8 times and stable outputs are obtained from various images.

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전자기 초음파를 이용한 CFRP 복합적층판의 적층배향 특성평가에 관한 연구 (A Study on Characterization for Stacking Fault Evaluation of CFRP Composite Laminates Using an EMAT Ultrasonics)

  • 임광희;나승우;김지훈;이창노;;양인영
    • 한국자동차공학회논문집
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    • 제13권2호
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    • pp.83-92
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    • 2005
  • An electromagnetic acoustic transducer (EMAT) is a unique probe that does not require a couplant or gel and also can usually generate or detect an ultrasonic wave into specimens across a small gap. It, therefore can be applied in a noncontact mode with a high degree of reproducibility. Especially stiffness of composites depends on layup sequence of CFRP(carbon fiber reinforced plastics) laminates. It is very important to evaluate the layup errors in prepreg laminates. A nondestructive technique can therefore serve as a useful measurement for detecting layup errors. This shear wave for detecting the presence of the errors is very sensitive. A decomposition model has been used in the interpretation and prediction of test results. Test results have been com pared with model data. It is found that the high probability shows between tests and the model utilized in characterizing cured layups of the laminates. Also a C-scan method was used for detecting layup of the laminates because of extracting fiber orientation information from the ultrasonic reflection caused by structural imperfections in the laminates. Therefore, it was found that interface C-scan images show the fiber orientation information by using two-dimensional fast Fourier transform (2-D FFT).

스펙트럼 분석기와 퍼지 ARTMAP 신경회로망을 이용한 Robust Planar Shape 인식 (Robust Planar Shape Recognition Using Spectrum Analyzer and Fuzzy ARTMAP)

  • 한수환
    • 한국지능시스템학회논문지
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    • 제7권2호
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    • pp.34-42
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    • 1997
  • 본 논문은 산업분야의 군사적으로 많이 사용되고 있는 planar shape의 인식을 스펙트럼 분석기를 이용하여 FFT 스펙트럼으로부터 추출된 3차원 특징 벡터와 신경회로망인 fuzzy ARTMAP을 이용하여 시도되었다. 외곽선 정보를 추출하여 이를 원점으로 이동시키고 각 경계점들과 원점들과의 유클리드 거리를 구하여 이를 다시 FFT스펙트럼과 스펙트럼 분석기를 통하여 3차원 특징 벡터를 추출하였다. 이 3차원 데이터는 이동, 회전, 크기에 무관한 값으로 fuzzy ARTMAP에 입력값으로 사용하였다. Fuzzy ARTMAP은 두개의 fuzzy ART 모듈을 가지고 있으며 위에서 구한 특징 벡터들에 의해 학습되고 실험되어 진다.본 논문에 포함된 실험은 4개의 비행기와 4개의 산업부품을 이용하여 잡음이 섞인 shape의 인식에 있엇 제시된 방법이 좋은 인식률을 기록함을 보여주고 있다.

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Efficient mesh-based realistic computer-generated hologram synthesis with polygon resolution adjustment

  • Yeom, Han-Ju;Cheon, Sanghoon;Choi, Kyunghee;Park, Joongki
    • ETRI Journal
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    • 제44권1호
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    • pp.85-93
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    • 2022
  • We propose an efficient method for synthesizing mesh-based realistic computer-generated hologram (CGH). In a previous nonanalytic mesh-based CGH synthesis, the angular spectrum of the two-dimensional (2D) plane is calculated using the fast Fourier transform (FFT) with the same size as the resolution of the final hologram. Because FFT increases the computation time as the size of the input matrix increases, the previous method has a problem: The higher the resolution of the hologram, the greater the computational load, thereby delaying synthesis time. In this study, when calculating the angular spectrum of the 2D plane in mesh-based CGH synthesis, we propose a method to calculate the angular spectrum by defining the 2D plane with an arbitrary size smaller than the resolution of the final hologram. The resolution adjustment method reduces the computation time and can be applied to occlusion culling and texturing for the realistic effect of mesh-based CGH. We describe the principle, error analysis, application of realistic effect, and experimental results of the proposed method.

전압 구동 방법에 따른 터보 압축기용 초고속 영구자석 동기 전동기의 회전자 손실 해석 (Analysis on Eddy Current Losses of High Speed Permanent Magnet Synchronous Motor for Turbo Compressor according to Voltage Source Driving)

  • 장석명;김현규;고경진;이성호;홍영희
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2009년도 제40회 하계학술대회
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    • pp.712_713
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    • 2009
  • This paper deals with the analysis on eddy current looses of high speed permanent magnet synchronous motor (PMSM) for turbo compressor according to voltage source driving. This paper presents analytical procedures for calculation of the eddy current losses using Poynting theorem. On the basis of the magnetic vector potential and a two-dimensional (2-D) cylindrical coordinate system, this paper derived analytical solutions of the eddy current looses using phase current analysis. The eddy current losses of each harmonic obtained by fast Fourier transform (FFT) analysis of phase current are with results obtained from finite-element method (FEM).

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고속 퓨리어변환용 2차원 시스토릭 어레이를 위한 처리요소의 설계 및 제작 (Design and Fabrication of a Processing Element for 2-D Systolic FFT Array)

  • 이문기;신경욱;최병윤
    • 대한전자공학회논문지
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    • 제27권3호
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    • pp.108-115
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    • 1990
  • 고속 퓨리어변화(Fast Fourier Transform)연산용 2차원 시스토릭 어레이의 기본 구성요소인 단위 처리요소(Unit processing element)를 직접회로로 설계, 제작하고 제작된 칩을 평가하였다. 설계된 칩은 FFT 연산을 위한 데이타셔플링 기능과 반쪽 버터플라이 연산기능을 수행한다. 약 6,500여개의 트랜지스터로 구성된 이 칩은 표준셀 방식으로 설계되었으며, 2미크론 이중 금속 P-Well CMOS 공정으로 제작되었다. 제작된 칩을 웨이퍼 상태로 프로브카드를 이용하여 평가하였으며 그 결과, 20MHz 클럭 주파수에서 반쪽 버터플라이 연산이 0.5${\mu}sec$에 수행됨을 확인하였다. 본 논문에서 설계, 제작된 칩을 이용하여 1024-point FFT를 연산하는 경우 11.2${\mu}sec$의 시간이 소요될 것으로 예상된다.

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