• Title/Summary/Keyword: FFT(Frequency Fourier Transform)

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A New DIT Radix-4 FFT Structure and Implementation (새로운 DIT Radix-4 FFT 구조 및 구현)

  • Jang, Young-Beom;Lee, Sang-Woo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.1
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    • pp.683-690
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    • 2015
  • Two basic FFT(Fast Fourier Transform) algorithms are the DIT(Decimation-In-Time) and the DIF (Decimation-In-Frequency). In spite of the advantage of the DIT algorithm is to generate a sequential output, various structures have not been made. In this paper, a new DIT Radix-4 FFT butterfly structure are proposed and implemented using Verilog coding. Through synthesis, it is shown that the 64-point FFT is implemented by 6.78 million gates. Since the proposed FFT structure has the advantage of a sequential output, it can be used in OFDM communication SoC(System on a Chip) which need a high speed FFT output.

Faults Current Discrimination of Power System Using Wavelet Transform (웨이블렛 변환을 이용한 전력시스템 고장전류의 판별)

  • Lee, Joon-Tark;Jeong, Jong-Won
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.21 no.3
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    • pp.75-81
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    • 2007
  • Recently the subject of "wavelet analysis" has be drawn by both mathematical and engineering application fields such as Signal Processing, Compression/Decomposition, Wavelet-Neural Network, Statistics and etc. Even though its similar to Fourier analysis, wavelet is a versatile tool with much mathematical content and great potential for applications. Especially, wavelet transform uses localizable various mother wavelet functions in time-frequency domain. Therefore, wavelet transform has good time-analysis ability for high frequency component, and has good frequency-analysis ability for low frequency component. Using the discriminative ability is more easy method than other conventional techniques. In this paper, Morlet wavelet transform was applied to discriminate the kind of line fault by acquired data from real power transformation network. The experimental result presented that Morlet wavelet transform is easier, and more useful method than the Fast Fourier Transform(FFT).

A Low-Complexity 128-Point Mixed-Radix FFT Processor for MB-OFDM UWB Systems

  • Cho, Sang-In;Kang, Kyu-Min
    • ETRI Journal
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    • v.32 no.1
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    • pp.1-10
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    • 2010
  • In this paper, we present a fast Fourier transform (FFT) processor with four parallel data paths for multiband orthogonal frequency-division multiplexing ultra-wideband systems. The proposed 128-point FFT processor employs both a modified radix-$2^4$ algorithm and a radix-$2^3$ algorithm to significantly reduce the numbers of complex constant multipliers and complex booth multipliers. It also employs substructure-sharing multiplication units instead of constant multipliers to efficiently conduct multiplication operations with only addition and shift operations. The proposed FFT processor is implemented and tested using 0.18 ${\mu}m$ CMOS technology with a supply voltage of 1.8 V. The hardware- efficient 128-point FFT processor with four data streams can support a data processing rate of up to 1 Gsample/s while consuming 112 mW. The implementation results show that the proposed 128-point mixed-radix FFT architecture significantly reduces the hardware cost and power consumption in comparison to existing 128-point FFT architectures.

Implementation of Precise Level Measurement Device using Zoom FFT (Zoom FFT를 이용한 정밀 레벨 측정 장치의 구현)

  • Ji, Suk-Joon;Lee, John-Tark
    • Journal of Advanced Marine Engineering and Technology
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    • v.36 no.4
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    • pp.504-511
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    • 2012
  • In this paper, level instrument is implemented using beat frequency for distance measurement which means the difference between Tx and Rx signal frequency from FMCW Radar Level Transmitter. Beat frequency is analyzed through Fast Fourier Transform of which frequency precision can be improved by applying Zoom FFT. Distance precision is improved from 146.5[mm] to 5[mm] using the advantage of Zoom FFT which can raise the frequency precision without changing the sampling frequency or FFT point number to be fixed in the beginning of designing signal processing. Also, measurement error can be reduced within 2[mm] by incresing the FFT points using the method of Spline interpolation. For verifying the effectiveness of this Zoom FFT to FMCW Radar Level Transmitter, test bench is made to measure the distance for every 1[mm] between 700[mm] and 2000[mm] and measurement error can be checked in the range of ${\pm}2$[mm].

Thermal Analysis of Automotive Disc Brake Using FFT-FEM (FFT-FEM을 이용한 자동차용 디스크 브레이크의 열 해석)

  • Choi, Ji-Hoon;Kim, Do-Hyung;Lee, In
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.8
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    • pp.1253-1260
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    • 2001
  • Transient thermal analysis of a three-dimensional axisymmetric automotive disk brake is presented in this paper. Temperature fields are obtained using a hybrid FFT-FEM scheme that combines Fourier transform techniques and finite element method. The use of a fast Fourier transform algorithm can avoid singularity problems and lead to inexpensive computing time. The transformed problem is solved with finite element scheme for each frequency domain. Inverse transforms are then performed for time domain solution. Numerical examples are presented for validation tests. Comparisons with analytical results show very good agreement. Also, a 3-D simulation, based upon an automotive brake disk model is performed.

The Relation of Time Resolution and Radial Velocity Accuracy of a CW Doppler Radar (CW 도플러 레이더의 시각 분해능과 시선 속도 정확도의 관계)

  • Ryu, Chung-Ho;Jang, Yong-Sik;Choi, Ik-Hwan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.7
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    • pp.815-821
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    • 2012
  • A CW Doppler radar can measure radial velocity of an object. It detects a Doppler frequency shift that is proportioned to radial velocity of a moving object. To detect a Doppler frequency shift, FFT(Fast Fourier Transform) is conducted. In this process, the time domain received signal is transformed to a frequency domain. A number of FFT affects not only the time resolution but also signal to noise ratio of received signal. So finally it is related with a radial velocity accuracy. Therefore in this paper, it is described the relation of time resolution and the radial velocity accuracy.

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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    • v.12 no.7
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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.

Development of the Natural Frequency Analysis System to Examine the Defects of Metal Parts (금속 부품의 결함 판단을 위한 고유 주파수 분석 시스템 개발)

  • Lee, Chung Suk;Kim, Jin Young;Kang, Joonhee
    • Journal of Sensor Science and Technology
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    • v.24 no.3
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    • pp.169-174
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    • 2015
  • In this study, we developed a system to detect the various defects in the metallic objects using the phenomenon that the defects cause the changes of the natural resonant frequencies. Our system consists of a FFT Amp, an Auto Impact Hammer, a Hammer controller and a PC. Auto Impact Hammer creates vibrations in the metallic objects when tapped on the surface. These vibrational signals are converted to the voltage signals by an acceleration sensor attached to the metallic part surface. These analog voltage signals were fed into an ADC (analog-digital converter) and an FFT (fast fourier transform) conversion in the FFT Amp to obtain the digital data in the frequency domain. Labview graphical program was used to process the digital data from th FFT amp to display the spectrum. We compared those spectra with the standard spectrum to find the shifts in the resonant frequencies of the metal parts, and thus detecting the defects. We used PCB's acceleration sensor and TI's TMS320F28335 DSP (digital signal processor) to obtain the resolution of 2.93 Hz and to analyze the frequencies up to 44 kHz.

Modeling of the Time-frequency Auditory Perception Characteristics Using Continuous Wavelet Transform (연속 웨이브렛 변환을 이용한 청각계의 시간-주파수 인지 특성 모델링)

  • 이상권;박기성;서진성
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.8
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    • pp.81-87
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    • 2001
  • The human auditory system is appropriate for the "constant Q"system. The STFT (Short Time Fourier Transform) is not suitable for the auditory perception model since it has constant bandwidth. In this paper, the CWT (continuous wavelet transform) is employed for the auditory filter model. In the CWT, the frequency resolution can be adjusted for auditory sensation models. The proposed CWT is applied to the modeling of the JNVF. In addition, other signal processing methods such as STFT, VER-FFT and VFR-STFT are discussed. Among these methods, the model of JNVF (Just Noticeable Variation in Frequency) by using the CWT fits in with the JNVF of auditory model although it requires quite a long time.

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

  • Kim, Eun-Suk;Kim, Hae-Ju;Na, Young-Heon;Shin, Kyung-Wook
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2010.10a
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    • pp.88-91
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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 based on single-memory bank architecture and radix-4 algorithm is designed. The designed FFT processor has high accuracy with arithmetic error less than 3%.

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