• Title/Summary/Keyword: 푸리에 연산

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Study of Radix-3 FFT (Radix-3 FFT에 관한 고찰)

  • Jung, Hae-Seung
    • Aerospace Engineering and Technology
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    • v.9 no.1
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    • pp.98-105
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    • 2010
  • Fast Fourier Transform is the fast implementation of Discrete Fourier Transform, which deletes periodic operation of DFT. According to the definition, radix-2 FFT can be implemented byre cursive call which divides the input signal points into 2 signal points. Because of its time-consuming stack-copy operation, this recursive method is very slow. To overcome this drawback, butterfly operation with signal rearrangement was devised. Based on the ideas of signal rearrangement and butterfly operation, this paper applies the signal rearrangement method to the Radix-3 FFT and checks the validity of this method.

Low-complexity implementation of OFDMA timing delay detector with multiple receive antennas for broadband wireless access (광대역 무선 액세스를 위한 다중 수신안테나를 갖는 OFDMA 시스템의 낮은 복잡도의 타이밍 딜레이 추정기 구현)

  • Won, Hui-Chul
    • Journal of Korea Society of Industrial Information Systems
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    • v.12 no.3
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    • pp.19-30
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    • 2007
  • In this paper, we propose low-complexity implementation of orthogonal frequency division multiple access (OFDMA) timing delay detector with multiple receive antennas for broadband wireless access (BWA). First, in order to reduce the computational complexity, the detection structure which rotates the phase of the received ranging symbols is introduced. Second, we propose the detection structure with the N-point/M-interval fast Fourier transform structure and a frequency-domain average-power estimator for complexity reduction without sacrificing the system performance. Finally, simulation results for the proposed structures and complexity comparison of the existing structure with the proposed detectors are presented.

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Memory saving architecture of number theoretic transform for lattice cryptography (동형 암호 시스템을 위한 정수 푸리에 변환의 메모리 절약 구조)

  • Moon, Sangook
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2016.05a
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    • pp.762-763
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    • 2016
  • In realizing a homomorphic encryption system, the operations of encrypt, decypt, and recrypt constitute major portions. The most important common operation for each back-bone operations include a polynomial modulo multiplication for over million-bit integers, which can be obtained by performing integer Fourier transform, also known as number theoretic transform. In this paper, we adopt and modify an algorithm for calculating big integer multiplications introduced by Schonhage-Strassen to propose an efficient algorithm which can save memory. The proposed architecture of number theoretic transform has been implemented on an FPGA and evaluated.

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A Real Time Parameter Estimation of Low Frequency Oscillation in Discrete Signal Part I : Theory (이산신호에서 실시간 저주파 진동 파라미터 추정 Part I : 이론)

  • Kim, Eui-Sun;Shim, Kwan-Shik;Moon, Chae-Joo
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.217-218
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    • 2008
  • 이 논문은 이산신호에 고속푸리에 변환을 적용하여 신호에 포함되어 있는 저주파수의 진동 파라미터를 추정하는 새로운 방법에 대해서 기술하고 있다. 제안한 방법은 지수감쇠 정현파함수의 푸리에 변환에 기초를 두고 푸리에스펙트럼으로부터 직접 파라미터를 추정하는 방법이다. 푸리에스펙트럼의 첨두치와 첨두주파수 사이에 일정한 수학적 관계에서 모드를 추정하고 추정한 모드를 이용하여 모드의 크기와 위상을 추정하는 방법을 제안하고 있다. 이 논문에서 제안한 파라미터 추정방법은 수식에 기반을 둔 매우 단순한 알고리즘으로 계산속도가 매우 빠르고 작은 기억장소를 필요로 하므로 DSP 수준의 실시간 연산에 매우 적합한 알고리즘이다. 제안한 알고리즘을 간단한 시험함수에 적용한 결과, 정확하게 파라미터를 추정하여 알고리즘의 정확성을 검증하였다.

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2N-Point FFT-Based Inter-Carrier Interference Cancellation Alamouti Coded OFDM Method for Distributed Antennas systems (분산안테나 시스템을 위한 2N-점 고속푸리에변환 기반 부반송파 간 간섭 자체제거 알라무티 부호화 직교주파수분할다중화 기법)

  • Kim, Bong-Seok;Choi, Kwonhue
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38A no.12
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    • pp.1030-1038
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    • 2013
  • The proposed Alamouti coded OFDM effectively cancels Inter Carrier Interference (ICI) due to frequency offset between distributed antennas. The conventional Alamouti coded OFDM schemes to mitigate ICI utilize N-point Inverse Fast Fourier Transform/Fast Fourier Transform (IFFT/FFT) operations for OFDM modulation and demodulation processes with total N subcarriers. However, the performance degrades because ICI is also repeated in N periods due to the property of N-point IFFT/FFT operation. In order to avoid this problem, null data are used at the subcarriers with large ICI and thus, data rate decreases. The proposed scheme employs 2N-point IFFT/FFT instead of N-point IFFT/FFT in order to increase sampling rate. By increasing sampling rate, the amount of interference significantly decreases because the period of ICI also increases. The proposed scheme increases the data rate and improves the performance by reducing amount of ICI and the number of null-data. Furthermore, the gain of the performance and data rate of the proposed scheme is significant with higher modulation such as 16-Quadarature Amplitude Modulation (QAM) or 64-QAM.

Single Path Phase-only Security System using Phase-encoded XOR Operations in Fourier Plane (푸리에 영역에서의 위상 변조 Exclusive-OR 연산을 이용한 단일 경로 위상 암호화 시스템)

  • Shin, Chang-Mok;Cho, Kyu-Bo;Kim, Soo-Joong;Noh, Duck-Soo
    • Korean Journal of Optics and Photonics
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    • v.16 no.4
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    • pp.326-333
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    • 2005
  • Phase-only encryption scheme using exclusive-OR rules in Fourier plane and a single path decryption system are presented. A zero-padded original image, multiplied by a random phase image, is Fourier transformed and its real-valued data is encrypted with key data by using XOR rules. A decryption is simply performed based on 2-1 setup with spatial filter by Fourier transform for multiplying phase-only encrypted data by phase-only key data, which are obtained by phase-encoding process, and spatial filtering for zero-order elimination in inverse-Fourier plane. Since the encryption process is peformed in Fourier plane, proposed encryption scheme is more tolerant to loss of key information by scratching or cutting than previous XOR encryption method in space domain. Compare with previous phase-visualization systems, due to the simple architecture without a reference wave, our system is basically robust to mechanical vibrations and fluctuations. Numerical simulations have confirmed the proposed technique as high-level encryption and simple decryption architecture.

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%.

Sequence Stream Indexing Method using DFT and Bitmap in Sequence Data Warehouse (시퀀스 데이터웨어하우스에서 이산푸리에변환과 비트맵을 이용한 시퀀스 스트림 색인 기법)

  • Son, Dong-Won;Hong, Dong-Kweon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.2
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    • pp.181-186
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    • 2012
  • Recently there has been many active researches on searching similar sequences from data generated with the passage of time. Those data are classified as time series data or sequence data and have different semantics from scalar data of traditional databases. In this paper similar sequence search retrieves sequences that have a similar trend of value changes. At first we have transformed the original sequences by applying DFT. The converted data are more suitable for trend analysis and they require less number of attributes for sequence comparisons. In addition we have developed a region-based query and we applied bitmap indexes which could show better performance in data warehouse. We have built bitmap indexes with varying number of attributes and we have found the least cost query plans for efficient similar sequence searches.

Analysis of Polarization Mode Dispersion in Nonlinear Optical Pulse propagation by SS-FEM adopting Approximated Sparse Matrix (희귀 행렬 근사 S-FEM을 이용한 비선형 광펄스의 편광 모드 분산 해석)

  • 한대우;이호준;정백호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.6A
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    • pp.825-832
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    • 2000
  • 광섬유 통신 시스템이 고속화되고 장거리를 전송하게 될 수록 편광모드 분산의 중요성은 더욱 부각되어 있다. 따라서 본 논문에서는 복굴절 광섬유에서 비선형 광펄스의 전파특성을 편광 모드 분산의 영향을 고려하여 시뮬레이션하였으며 이러한 현상이 발생되는 것을 알 수 있었다. 그리고 광섬유 비션형성에 의해서 GVD(Group Velocity Dispersion)와 마찬가기로 PMD(Polarization Mode Dispersion)에서도 부분적인 보상 현상이 나타남을 수치 결과를 통해 알 수 있었다. 이러한 광 전송 시뮬레이션을 구현하기 위해서 기존의 단계분할 푸리에 방식 (SS-FM, Split-Step Fourier Method)보다 장거리 전송시 오차의 발생이 적은 단계 분할 유한 요소법)SS-FEM, Split-Step Finite Element Method)을 적용하였으며, 또한 그 단점인 수행 속도를 개선한 희귀 행렬 근사 단계 분할 유한 요소법을 제안하였다. 그 결과 제안된 방법이 기존의 푸리에 연산법이나 일반적인 유한 요소법과 비교하여 더 빠른 수행 속도를 나타내는 것을 알 수 있었다.

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Development of Artificial-Intelligent Power Quality Diagnosis Algorithm using DSP (DSP를 이용한 인공지능형 전력품질 진단기법 연구)

  • Chung, Gyo-Gbum;Kwack, Sun-Geun
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.23 no.1
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    • pp.116-124
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    • 2009
  • This paper proposes a new Artificial-Intelligent(AI) Power Quality(PQ) diagnosis algorithm using Discrete Wavelet Transform(DWT), Fast Fourier Transform(FFT), Root-Mean-Square(RMS) value. The developed algorithm is able to detect and classify the PQ problems such as the transient, the voltage sag, the voltage swell, the voltage interruption and the total harmonics distortion. The 15.36[kHz] sampling frequency is used to measure the voltages in a power system. The measured signals are used for DWT, FFT, RMS calculation. For AI diagnosis of the PQ problems, a simple multi-layered Artificial Neural Network(ANN) with the back-propagation algorithm is adopted, programmed in C++ and tested in PSIM simulation studies. Finally, the algorithm, which is installed in MP PQ+256 with TI DSP320C6713, is proved to diagnose the PQ problems efficiently.