• 제목/요약/키워드: Inverse Fourier Transform

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Retrieving the Time History of Displacement from Measured Acceleration Signal

  • Han, Sangbo
    • Journal of Mechanical Science and Technology
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    • 제17권2호
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    • pp.197-206
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    • 2003
  • It is intended to retrieve the time history of displacement from measured acceleration signal. In this study, the word retrieving means reconstructing the time history of original displacement signal from already measured acceleration signal not just extracting various information using relevant signal processing techniques. Unlike extracting required information from the signal, there are not many options to apply to retrieve the time history of displacement signal, once the acceleration signal is measured and recorded with given sampling rate. There are two methods, in general, to convert measured acceleration signal into displacement signal. One is directly integrating the acceleration signal in time domain. The other is dividing the Fourier transformed acceleration signal by the scale factor of - $\omega$$^2$and taking the inverse Fourier transform of it. It turned out both the methods produced a significant amount of errors depending on the sampling resolution in time and frequency domain when digitizing the acceleration signals. A simple and effective way to convert the time history of acceleration signal into the time history of displacement signal without significant errors is studied here with the analysis on the errors involved in the conversion process.

Application of Compressive Sensing to Two-Dimensional Radar Imaging Using a Frequency-Scanned Microstrip Leaky Wave Antenna

  • Yang, Shang-Te;Ling, Hao
    • Journal of electromagnetic engineering and science
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    • 제17권3호
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    • pp.113-119
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    • 2017
  • The application of compressive sensing (CS) to a radar imaging system based on a frequency-scanned microstrip leaky wave antenna is investigated. First, an analytical model of the system matrix is formulated as the basis for the inversion algorithm. Then, $L_1-norm$ minimization is applied to the inverse problem to generate a range-azimuth image of the scene. Because of the antenna length, the near-field effect is considered in the CS formulation to properly image close-in targets. The resolving capability of the combined frequency-scanned antenna and CS processing is examined and compared to results based on the short-time Fourier transform and the pseudo-inverse. Both simulation and measurement data are tested to show the system performance in terms of image resolution.

Systematic Analysis of Periodic Variation in Paper Structure

  • Sung, Yong-Joo;Keller, D.Steven
    • 펄프종이기술
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    • 제41권5호
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    • pp.50-58
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    • 2009
  • Periodic variation of local paper structure was evaluated using two-dimensional fast Fourier transform (FFT) and spectral analysis. Since the periodic variation could originate from various sources and have different magnitudes and patterns depending on the origins, a complete analysis of local paper structure properties such as local grammage, local thickness, local apparent density and surface topography was proposed in this study. For a commercial copy paper, the individual periodic patterns for each local structural property were identified by using inverse FFT spectrums of the filtered spectrum. The spectral analysis of newsprint sample provided the period of variation quantitatively, which was useful in comparing the origins of the individual periodic patterns of the local structural properties.

ISAR IMAGING FROM TARGET CAD MODELS

  • Yoo, Ji-Hee;Kwon, Kyung-Il
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2005년도 Proceedings of ISRS 2005
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    • pp.550-553
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    • 2005
  • To acquire radar target signature, various kinds of target are necessary. Measurement is one of the data acquiring method, but much time and high cost is required to get the target data from the real targets. Even if we can afford that, the targets we can access are very limited. To obtain target signatures avoiding these problems, we build the target CAD (Computer Aided Design) model for the calculation of target signatures. To speed up RCS calculation, we applied adaptive super-sampling and tested quite complex tank CAD model which is 1.4 hundred of thousands facet. We use calculated RCS data for ID range profile and 2D ISAR (Inverse Synthetic Aperture Radar) image formation. We adopted IFFT (Inverse Fast Fourier Transform) algorithm combined with polar formatting algorithm for the ISAR imaging. We could confirm the possibility of the construction of database from the images of CAD models for target classification applications.

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Quantitative Analysis by Diffuse Reflectance Infrared Fourier Transform and Linear Stepwise Multiple Regression Analysis I -Simultaneous quantitation of ethenzamide, isopropylantipyrine, caffeine, and allylisopropylacetylurea in tablet by DRIFT and linear stepwise multiple regression analysis-

  • Park, Man-Ki;Yoon, Hye-Ran;Kim, Kyoung-Ho;Cho, Jung-Hwan
    • Archives of Pharmacal Research
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    • 제11권2호
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    • pp.99-113
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    • 1988
  • Quantitation of ethenzamide, isopropylantipyrine and caffeine takes about 41 hrs by conventional GC method. Quantitation of allylisoprorylacetylurea takes about 40 hrs by conventional UV method. But quantitation of them takes about 6 hrs by DRIFT developing method. Each standard and sample sieved, powdered and acquired DRIFT spectrum. Out of them peak of each component was selected and ratio of each peak to standard peak was acquired, and then linear stepwise multiple regression was performed with these data and concentration. Reflectance value, Kubelka-Munk equation and Inverse-Kubelka-Munk equation were modified by us. Inverse-Kubelka-Munk equation completed the deficit of Kubelka-Munk equation. Correlation coefficients acquired by conventioanl GC and UV against DRIFT were more than 0.95.

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줄눈 콘크리트포장의 프로파일 데이터를 이용한 슬래브의 컬링형상 추출기법 개발 (Development of Extraction Method of Slab Curling Shape of jointed Concrete Pavement Using Profile Data)

  • 전범준;이승우;문성호
    • 한국도로학회논문집
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    • 제10권4호
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    • pp.9-18
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    • 2008
  • 줄눈 콘크리트포장(JCP-Jointed Concrete Pavement)의 경우 포장단면 온 습도차에 의해 슬래브 내의 컬링이 발생하게 된다. 컬링에 의해서 발생하는 슬래브의 휨 형상 및 크기는 포장내 응력 및 평탄성에 영향을 미치기 때문에 포장의 구조적, 기능적 성능에 중요한 영향을 줄 수 있다. 슬래브의 휨 형상을 직접 측정하는 것은 시공초기에 포장내에 다량의 계측기를 매설하여야 하며, 시공초기부터 거동의 정교한 측정이 필요하고 고가의 실험비용 및 기술적 인 어려움을 갖고 있다. 본 연구에서는 현장에서 손쉽게 획득할 수 있는 프로파일 데이터(Profile Data)에 파워 스펙트럼 분석(Power Spectrum Density Analysis) 및 역 푸리에 변환(Inverse Fast Fourier Transform) 기법 등을 적용하여 임의의 시간에서 줄눈 콘크리트포장의 슬래브 휨 형상을 측정하는 방법을 개발하였다. 개발한 기법의 실효성을 검증하기 위하여 국내 중부내륙에 위치한 시험도로 줄눈 콘크리트 포장에서 시간대별 프로파일을 측정하고 이 데이터로부터 슬래브 휨 형상을 도출하여 그 결과를 검토하였다. 또한 동 시간대의 연속철근 콘크리트포장(CRCP- Continuous Reinforced concrete Pavement) 구간에서의 프로파일 데이터를 분석하고 이를 줄눈 콘크리트포장에서의 결과와 비교하여 개발한 슬래브 휨 형상 추출기법의 타당성을 검증하였다.

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Symbol interferometry and companding transform for PAPR reduction of OTFS signal

  • Aare Gopal;Desireddy Krishna Reddy;Srinivasarao Chintagunta
    • ETRI Journal
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    • 제46권4호
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    • pp.595-603
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    • 2024
  • This paper presents methods for reducing the peak-to-average power ratio (PAPR) of the orthogonal time frequency space (OTFS) signal. These methods mainly consist of two operations: symbol interferometry (SI) and either 𝜇-law or A-law companding. SI spreads the data of one OTFS symbol onto all symbols and is implemented using a simple inverse fast Fourier transform operation on each OTFS symbol. During the second operation, the PAPR of the OTFS signal is significantly reduced. For our performance analysis, the complementary cumulative distribution function, probability density function, and bit error rate are illustrated through simulations performed in MATLAB. The performance is also analyzed using a solid-state power amplifier at the transmitter and compared with OTFS, 𝜇-law-based OTFS, and SI OTFS systems. The results indicate that the proposed OTFS system achieves a low PAPR.

Low Complexity Discrete Hartley Transform Precoded OFDM System over Frequency-Selective Fading Channel

  • Ouyang, Xing;Jin, Jiyu;Jin, Guiyue;Li, Peng
    • ETRI Journal
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    • 제37권1호
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    • pp.32-42
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    • 2015
  • Orthogonal frequency-division multiplexing (OFDM) suffers from spectral nulls of frequency-selective fading channels. Linear precoded (LP-) OFDM is an effective method that guarantees symbol detectability by spreading the frequency-domain symbols over the whole spectrum. This paper proposes a computationally efficient and low-cost implementation for discrete Hartley transform (DHT) precoded OFDM systems. Compared to conventional DHT-OFDM systems, at the transmitter, both the DHT and the inverse discrete Fourier transform are replaced by a one-level butterfly structure that involves only one addition per symbol to generate the time-domain DHT-OFDM signal. At the receiver, only the DHT is required to recover the distorted signal with a single-tap equalizer in contrast to both the DHT and the DFT in the conventional DHT-OFDM. Theoretical analysis of DHT-OFDM with linear equalizers is presented and confirmed by numerical simulation. It is shown that the proposed DHT-OFDM system achieves similar performance when compared to other LP-OFDMs but exhibits a lower implementation complexity and peak-to-average power ratio.

디치논리 함수를 이용한 신호처리 연구 (A Study on Signal Processing Using Multiple-Valued Logic Functions)

  • 성현경;강성수;김흥수
    • 대한전자공학회논문지
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    • 제27권12호
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    • pp.1878-1888
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    • 1990
  • In this paper, the input-output interconnection method of the multi-valued signal processing circuit using perfect Shuffle technique and Kronecker product is discussed. Using this method, the design method of circuit of the multi-valued Reed-Muller expansions(MRME) to be used the multi-valued signal processing on finite field GF(p**m) is presented. The proposed input-output interconnection method is shown that the matrix transform is efficient and that the module structure is easy. The circuit design of MRME on FG(p**m) is realized following as` 1) contructing the baisc gates on GF(3) by CMOS T gate, 2) designing the basic cells to be implemented the transform and inverse transform matrix of MRME using these basic gates, 3) interconnecting these cells by the input-output interconnecting method of the multivalued signal processing circuits. Also, the circuit design of the multi-valued signal processing function on GF(3\ulcorner similar to Winograd algorithm of 3x3 array of DFT (discrete fourier transform) is realized by interconnection of Perfect Shuffle technique and Kronecker product. The presented multi-valued signal processing circuits that are simple and regular for wire routing and posses the properties of concurrency and modularity are suitable for VLSI.

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Determination of 2D solar wind speed maps from LASCO C3 observations using Fourier motion filter

  • Cho, Il-Hyun;Moon, Yong-Jae;Lee, Jin-Yi;Nakariakov, Valery;Cho, Kyung-Suk
    • 천문학회보
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    • 제42권2호
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    • pp.68-68
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    • 2017
  • Measurements of solar wind speed near the Sun (< 0.1 AU) are important for understanding acceleration mechanism of solar wind as well as space weather predictions, but hard to directly measure them. For the first time, we provide 2D solar wind speed maps in the LASCO field of view using three consecutive days data. By applying the Fourier convolution and inverse Fourier transform, we decompose the 3D intensity data (r, PA, t) into the 4D one (r, PA, t, v). Then, we take the weighted mean along speed to determine the solar wind speeds that gives V(r, PA, t) in every 30 min. The estimated radial speeds are consistent with those given by an artificial flow and plasma blobs. We find that the estimated speeds are moderately correlated with those from slow CMEs and those from IPS observations. A comparison of yearly solar wind speed maps in 2000 and 2009 shows that they have very remarkable differences: azimuthally uniform distribution in 2000 and bi-modal distribution (high speed near the poles and low speed near the equator) in 2009.

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