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1

He, Wei, De Tian, and Wei Long Wang. "Effect of Wind Shear on Rotational Fourier Spectrum of Wind Turbine." Applied Mechanics and Materials 271-272 (December 2012): 872–76. http://dx.doi.org/10.4028/www.scientific.net/amm.271-272.872.

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In order to accurately obtain the influence of rotational effect on fluctuating component of turbulent wind acted on wind turbine, considering source spectrum and rotational sample points were changed since wind shear changed mean wind speed in the rotor plane along the vertical direction, rotational Fourier spectrum with wind shear was deduced. Based on the investigation on a 3MW three-bladed pitch regulated wind turbine, rotational Fourier spectrums with and without wind shear were compared, the effect of radius on rotational Fourier spectrum was analyzed, cross power spectral densities of r
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2

Foster, Grant. "The cleanest Fourier spectrum." Astronomical Journal 109 (April 1995): 1889. http://dx.doi.org/10.1086/117416.

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3

Andrecut, M. "Exact Fourier spectrum recovery." Physics Letters A 377, no. 1-2 (2012): 1–6. http://dx.doi.org/10.1016/j.physleta.2012.10.018.

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4

Tarasiuk, T. "Hybrid Wavelet-Fourier Spectrum Analysis." IEEE Transactions on Power Delivery 19, no. 3 (2004): 957–64. http://dx.doi.org/10.1109/tpwrd.2004.824398.

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5

Aref, Vahid, Son Thai Le, and Henning Buelow. "Modulation Over Nonlinear Fourier Spectrum: Continuous and Discrete Spectrum." Journal of Lightwave Technology 36, no. 6 (2018): 1289–95. http://dx.doi.org/10.1109/jlt.2018.2794475.

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6

Jia Fangxiu, 贾方秀, 丁振良 Ding Zhenliang, 袁峰 Yuan Feng, and 葛东升 Ge Dongsheng. "All-Phase Fourier Transfrorm Spectrum Analysis." Acta Optica Sinica 30, no. 10 (2010): 2928–34. http://dx.doi.org/10.3788/aos20103010.2928.

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7

Yang, Dekun, William A. Ainsworth, and Georg F. Meyer. "Resolution capability of reassigned Fourier spectrum." Journal of the Acoustical Society of America 105, no. 2 (1999): 1092. http://dx.doi.org/10.1121/1.425119.

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8

Shahhosseini, Saeid, and Bahman Rezaie. "Pattern Matching Using Partial Fourier Spectrum." IEEE Transactions on Circuits and Systems for Video Technology 26, no. 7 (2016): 1229–40. http://dx.doi.org/10.1109/tcsvt.2015.2437091.

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9

Myland, Jan C., Keith B. Oldham, and Guoyi Zhu. "Fourier spectrum of a voltammetric wave." Analytical Chemistry 60, no. 15 (1988): 1610–21. http://dx.doi.org/10.1021/ac00166a026.

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10

Amidror, Isaac. "Fourier spectrum of radially periodic images." Journal of the Optical Society of America A 14, no. 4 (1997): 816. http://dx.doi.org/10.1364/josaa.14.000816.

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11

Garban, Christophe, Gábor Pete, and Oded Schramm. "The Fourier spectrum of critical percolation." Acta Mathematica 205, no. 1 (2010): 19–104. http://dx.doi.org/10.1007/s11511-010-0051-x.

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12

Tian, De, Wei He, and Ning Bo Wang. "Effect of Coherence Function on Rotational Fourier Spectrum of Wind Turbine." Advanced Materials Research 608-609 (December 2012): 506–12. http://dx.doi.org/10.4028/www.scientific.net/amr.608-609.506.

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In order to consider the rotational effect of rotor and determine the exact loads of wind turbine generator system, rotational Fourier spectrum was deduced, and the physical nature of the rotational Fourier spectrum was indicated. Importance of coherence function to the rotational Fourier spectrum was analyzed according to physical nature, as well as the parameter sensitivity analysis of decay factor. The result shows that there is a sharp dip of rotational Fourier spectrum at the integer multiple rotational frequencies with Davenport exponential coherence function while it's eliminated with c
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13

Ji, Xiao Qiang, Jie Zhang Cheng, Lei Jiang, Ting Ting Zhang, and Mei Jiao Wang. "An Improved Fourier-Mellin Algorithm Based on the Image Amplitude Spectrum." Applied Mechanics and Materials 687-691 (November 2014): 3773–76. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.3773.

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This paper proposes an improved amplitude spectrum based Fourier-Mellin algorithm Fourier by studying the nature of the Fourier transform image of the amplitude spectrum and the application of phase spectrum in estimation for image motion vector according to the shortcomings of traditional Fourier-Mellin algorithm when the video image translation, rotation and scaling of the situation exist. Experimental results show that the algorithm can estimate the rotation, translation and other vector parameters of a complicated motion model .The complexity of the algorithm has greatly improved comparing
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14

Liu, Yao Lin, Feng Han, Zhen Liu, and Min Chen Zhai. "Analysis of Energy Loss-Gain Error in Discrete Fourier Transform." Applied Mechanics and Materials 568-570 (June 2014): 172–75. http://dx.doi.org/10.4028/www.scientific.net/amm.568-570.172.

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In asynchronous sampling, discrete Fourier transform (DFT) spectrum involves errors. Scholars have done great investigations on the correction techniques of DFT spectrum, but the errors have not been completely eliminated all along. In this paper, spectrums were examined from the principle of conservation of energy. It is unnoticed before that the energy of the digital signal, which is the analysis object of DFT, isn't equal to that of the finite continuous signal truncated by rectangular window. Thus the energy of their spectrums are different according to the Parseval's theorem. The Energy L
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15

Mahmoud, Sabri A., and Ashraf S. Mahmoud. "ARABIC CHARACTER RECOGNITION USING MODIFIED FOURIER SPECTRUM (MFS) VS. FOURIER DESCRIPTORS." Cybernetics and Systems 40, no. 3 (2009): 189–210. http://dx.doi.org/10.1080/01969720802714758.

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16

He, Wei, De Tian, Qi Li, and Ning Bo Wang. "Rotational Turbulent Wind Field Simulation of Wind Turbine." Applied Mechanics and Materials 291-294 (February 2013): 472–76. http://dx.doi.org/10.4028/www.scientific.net/amm.291-294.472.

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In order to accurately obtain the influence of rotational effect on fluctuating component of turbulent wind acted on wind turbine, rotational Fourier spectrum with considering rotational effect of rotor was deduced. Physical nature of the rotational Fourier spectrum embodied by coherence function and phase lag was indicated. Auto power spectral density and cross power spectral density of rotational Fourier spectrum with introducing phase lag were proposed. The spectrum matrix constructed by the module of rotational Fourier spectrum was decomposed with Cholesky's method, according to the spectr
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17

Utami, Wika Dianita, and Putroue Intan. "Prediksi Parameter Klimatologi Menggunakan Multivariate Singular Spectrum Analysis (MSSA)." Jurnal Fourier 13, no. 2 (2024): 1–11. https://doi.org/10.14421/fourier.2024.132.1-11.

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Curah hujan, temperatur, kecepatan angin, kelembaban udara, dan penyinaran matahari adalah paremeter klimatologi. Perubahan parameter klimatologi yang signifikan mengakibatkan terjadinya bencana alam seperti banjir, angin kencang, puting beliung, tanah longsor, cuaca ekstrem hingga kekeringan. Informasi parameter klimatologi sangat dibutuhkan pada berbagai sektor kehidupan, misal pertanian, pariwisata, dan transportasi. Oleh karena itu, informasi tentang parameter klimatologi dibutuhkan di masa depan sebagai upaya mitigasi bencana. Penelitian ini bertujuan untuk memprediksi perubahan parameter
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Utami, Wika Dianita, and Putroue Intan. "Prediksi Parameter Klimatologi Menggunakan Multivariate Singular Spectrum Analysis (MSSA)." Jurnal Fourier 13, no. 2 (2024): 65–75. https://doi.org/10.14421/fourier.2024.132.65-75.

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Curah hujan, temperatur, kecepatan angin, kelembaban udara, dan penyinaran matahari adalah paremeter klimatologi. Perubahan parameter klimatologi yang signifikan mengakibatkan terjadinya bencana alam seperti banjir, angin kencang, puting beliung, tanah longsor, cuaca ekstrem hingga kekeringan. Informasi parameter klimatologi sangat dibutuhkan pada berbagai sektor kehidupan, misal pertanian, pariwisata, dan transportasi. Oleh karena itu, informasi tentang parameter klimatologi dibutuhkan di masa depan sebagai upaya mitigasi bencana. Penelitian ini bertujuan untuk memprediksi perubahan parameter
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19

Shah, Yogendra Prasad. "Applications of Fourier Series and Fourier Transformation." Cognition 2, no. 1 (2019): 145–56. http://dx.doi.org/10.3126/cognition.v2i1.55605.

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This paper investigates into the application of fourier transformation and series, which converts time domain signal to frequency domain signals, at which signals can be analyzed. Unlike Laplace transform, Fourier Transforms does not have full S plane, it just have the frequency j2πf plane. Fourier Transforms helps to analyze spectrum of the signals, helps in find the response of the LTI systems. (Continuous Time Fourier Transforms is for Analog signals and Discrete time Fourier Transforms is for discrete signals). Discrete Fourier Transforms are helpful in Digital signal processing for making
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20

Bykov, A. D., O. V. Naumenko, E. R. Polovtseva, S. M. Hu, and A. W. Liu. "Fourier transform absorption spectrum of in 7360–8440cm−1 spectral region." Journal of Quantitative Spectroscopy and Radiative Transfer 111, no. 15 (2010): 2197–210. http://dx.doi.org/10.1016/j.jqsrt.2010.04.029.

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21

Gómez-Sarabia, Cristina M., Enrique Tajahuerce, and Jorge Ojeda-Castañeda. "Tunable telephoto: governable Fourier spectrum anamorphic scaling." OSA Continuum 4, no. 3 (2021): 815. http://dx.doi.org/10.1364/osac.415096.

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22

Delon, Antoine, Robert Georges, Bernd Kirmse, and R�my Jost. "Fourier-transform analysis of the NO2 spectrum." Faraday Discussions 102 (1995): 117. http://dx.doi.org/10.1039/fd9950200117.

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23

Bshouty, Nader H., and Christino Tamon. "On the Fourier spectrum of monotone functions." Journal of the ACM 43, no. 4 (1996): 747–70. http://dx.doi.org/10.1145/234533.234564.

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24

Chandra, D. V. S. "Target orientation estimation using Fourier energy spectrum." IEEE Transactions on Aerospace and Electronic Systems 34, no. 3 (1998): 1009–12. http://dx.doi.org/10.1109/7.705915.

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25

Gauvin, R., P. Michaud, H. Demers, and M. L. Trudeau. "EDS Spectrum Imaging with Fast Fourier Transforms." Microscopy and Microanalysis 18, S2 (2012): 1008–9. http://dx.doi.org/10.1017/s1431927612006897.

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26

Saksena, M. D., M. N. Deo, K. Sunanda, and H. A. Khan. "High resolution Fourier transform spectrum of 69GaCl." Journal of Molecular Spectroscopy 235, no. 2 (2006): 166–75. http://dx.doi.org/10.1016/j.jms.2005.10.014.

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27

Velino, Biagio, and Walther Caminati. "Fourier transform microwave spectrum of pyridine–neon." Journal of Molecular Spectroscopy 251, no. 1-2 (2008): 176–79. http://dx.doi.org/10.1016/j.jms.2008.02.017.

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28

Tang, Shouyuan, Luca Evangelisti, and Walther Caminati. "Fourier transform microwave spectrum of difluoromethane–Xe." Journal of Molecular Spectroscopy 258, no. 1-2 (2009): 71–74. http://dx.doi.org/10.1016/j.jms.2009.09.006.

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29

Sharma, Manoj Kumar, Ram Kishor Singh, Joby Joseph, and P. Senthilkumaran. "Fourier spectrum analysis of spiral zone plates." Optics Communications 304 (September 2013): 43–48. http://dx.doi.org/10.1016/j.optcom.2013.04.028.

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30

Bi, Shuping, Sidan Du, and Hong Gao. "Fourier spectrum of ac cyclic oscillochronopotentiometry responses." Journal of Electroanalytical Chemistry 390, no. 1-2 (1995): 1–9. http://dx.doi.org/10.1016/0022-0728(95)03874-g.

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31

Mahmoud, Sabri A. "Motion estimation based on modified Fourier spectrum." Information Processing Letters 37, no. 6 (1991): 311–13. http://dx.doi.org/10.1016/0020-0190(91)90147-a.

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32

Li, Yuan-Min, and Deyun Wei. "Spectrum measurement in the fractional Fourier domain." Optik 125, no. 20 (2014): 6148–51. http://dx.doi.org/10.1016/j.ijleo.2014.06.124.

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33

Diaz-Vargas, Javier, Lev Glebsky, and Carlos Jacob Rubio-Barrios. "TRUE SPECTRUM OF A FINITE FOURIER TRANSFORM." JP Journal of Algebra, Number Theory and Applications 44, no. 2 (2019): 181–99. http://dx.doi.org/10.17654/nt044020181.

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34

Xiao, Yin, Lina Zhou, and Wen Chen. "Fourier Spectrum Retrieval in Single-Pixel Imaging." IEEE Photonics Journal 11, no. 2 (2019): 1–11. http://dx.doi.org/10.1109/jphot.2019.2898658.

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35

Kushilevitz, Eyal, and Yishay Mansour. "Learning Decision Trees Using the Fourier Spectrum." SIAM Journal on Computing 22, no. 6 (1993): 1331–48. http://dx.doi.org/10.1137/0222080.

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36

Matson, Charles L., Imelda A. DeLarue, Terry M. Gray, and Ida E. Drunzer. "Optimal Fourier spectrum estimation from the bispectrum." Computers & Electrical Engineering 18, no. 6 (1992): 485–97. http://dx.doi.org/10.1016/0045-7906(92)90040-k.

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37

Uehara, Hiromichi, Koui Horiai, Tomoko Mitani, and Hiroshi Suguro. "Infrared fourier transform emission spectrum of InF." Chemical Physics Letters 162, no. 1-2 (1989): 137–39. http://dx.doi.org/10.1016/0009-2614(89)85081-x.

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38

Uehara, Hiromichi, Koui Horiai, Kazuo Sueoka, and Kuniaki Nakagawa. "Infrared fourier transform emission spectrum of GeS." Chemical Physics Letters 160, no. 2 (1989): 149–51. http://dx.doi.org/10.1016/0009-2614(89)87573-6.

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39

Ahmad, I. K., and P. A. Hamilton. "The Fourier Transform Infrared Spectrum of PN." Journal of Molecular Spectroscopy 169, no. 1 (1995): 286–91. http://dx.doi.org/10.1006/jmsp.1995.1022.

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40

Zhu, Ying Hao, Xi Chuan Wei, and Xin Yu Jiang. "Super-resolution Localization Problem Based on the Mobile Scenario." Journal of Physics: Conference Series 2660, no. 1 (2023): 012037. http://dx.doi.org/10.1088/1742-6596/2660/1/012037.

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Abstract Target positioning has always been a hot research topic in the field of sensors. In recent years, radar detection technology has become increasingly mature, resulting in a large number of radar sensors have begun to be used in traffic, security, medical and other fields for target detection. This paper mainly studies the super-resolution localization problem of FMCW FMCW in moving scenes. It analyzes the echo data by mathematical modeling to obtain the distance and angle information of the object to find the place of the object. To restore the motion trajectory of objects more realist
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41

Fedoryshyn, Roman, Vasyl Lymych, Volodymyr Zagraj, and Oleh Masniak. "Technique for Defining the Optimal Parameters of Moving Window at Vibration Accelerometer Signal Processing." Energy engineering and control systems 10, no. 2 (2024): 142–52. https://doi.org/10.23939/jeecs2024.02.142.

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This paper presents a technique for defining the optimal parameters of a moving window when processing the signal of a vibration accelerometer installed on a ball drum mill as part of the automation system. Time series signals of the vibration acceleration have been synthesized based on the experimental data of frequency spectrums with the application of the inverse Fourier transform. The lower and upper limits for the moving window size have been defined. The frequency spectrum for the time series signal within the moving window has been built by means of the fast Fourier transform method. An
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42

Palencia, Víctor J., and Jina M. Martínez. "Spectral data transformation analysis by simple mathematical functions: Fourier transform infrared spectrum." Journal of Science with Technological Applications 3 (November 2017): 44–55. http://dx.doi.org/10.34294/j.jsta.17.3.23.

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43

Qiu, Ziheng, Xinyi Guo, Tian’ao Lu, Pan Qi, Zibang Zhang, and Jingang Zhong. "Efficient Fourier Single-Pixel Imaging with Gaussian Random Sampling." Photonics 8, no. 8 (2021): 319. http://dx.doi.org/10.3390/photonics8080319.

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Fourier single-pixel imaging (FSI) is a branch of single-pixel imaging techniques. It allows any image to be reconstructed by acquiring its Fourier spectrum by using a single-pixel detector. FSI uses Fourier basis patterns for structured illumination or structured detection to acquire the Fourier spectrum of image. However, the spatial resolution of the reconstructed image mainly depends on the number of Fourier coefficients sampled. The reconstruction of a high-resolution image typically requires a number of Fourier coefficients to be sampled. Consequently, a large number of single-pixel meas
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44

Malik, Naseer Ahmad, Farooq Ahmad, and D. K. Jain. "THE THEORETICAL OVERVIEW OF THE HARTLEY TRANSFORM AND THE GENERALIZED R-FUNCTION." Jnanabha 50, no. 01 (2020): 158–63. http://dx.doi.org/10.58250/jnanabha.2020.50116.

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In this paper the R-functions have been mentioned in connection with integral operator named as Hartely transform. The Hartley transform is a mathematical transformation which is closely related to the better known Fourier transform. The properties that differentiate the Hartley Transform from its Fourier counterpart are that the forward and the inverse transforms are identical and also that the Hartley transform of a real signal is a real function of frequency. The Whitened Hartley spectrum, which stems from the Hartley transform, is a bounded function that encapsulates the phase content of a
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45

Tong, Yu, Lin Wang, Wen-Zhe Zhang, et al. "A high performance fast-Fourier-transform spectrum analyzer for measuring spin noise spectrums." Chinese Physics B 29, no. 9 (2020): 090704. http://dx.doi.org/10.1088/1674-1056/ab9c04.

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46

Ni, Zhuoya, Qifeng Lu, Yishu Xu, and Hongyuan Huo. "Intensity Simulation of a Fourier Transform Infrared Spectrometer." Sensors 20, no. 7 (2020): 1833. http://dx.doi.org/10.3390/s20071833.

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This paper introduces an intensity simulation for the Fourier transform infrared spectrometer whose core element is the Michelson interferometer to provide support for the on-orbit monitoring of the instrument and to improve the data processing and application of the Fourier transform spectrometer. The Geostationary Interferometric Infrared Imager (GIIRS) aboard on Fengyun-4B (FY-4B) satellite, which will be launched in 2020, aims to provide hyperspectral infrared observations. An intensity simulation of the Michelson interferometer based on the GIIRS’s instrument parameters is systematically
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47

Liu, Zongkai, Chuan Peng, and Xiaoqiang Yang. "Research and analysis of the wheeled vehicle load spectrum editing method based on short-time Fourier transform." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 233, no. 14 (2019): 3671–83. http://dx.doi.org/10.1177/0954407019830205.

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The measured uniaxial-head load spectrum in the road simulation test has a large number of useless small loads. When applying the measured load spectrum directly, it will take a lot of time. This paper designs a comprehensive road spectrum measurement system to collect data and proposes a method for editing the uniaxial-head acceleration load spectrum using short-time Fourier transform to speed up the reliability test process and reduce time costs. In this method, the time domain and frequency domain information of the signal is obtained by short-time Fourier transform. The concept of accumula
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48

Han, Feng, Yao Lin Liu, Zhen Liu, and Hai Dong Zeng. "Comments on Errors of DFT Spectrum." Applied Mechanics and Materials 568-570 (June 2014): 189–92. http://dx.doi.org/10.4028/www.scientific.net/amm.568-570.189.

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Discrete Fourier transform (DFT/FFT) spectrums contain a variety of inherent errors in asynchronous sampling. Spectrum analysis with the accuracy above 10-3 are generally challenging issues. This work divides the DFT procedure into four signal transforms and exams six spectrum errors originated from these distortions. Besides the review of traditional errors, a so-called energy loss-gain (ELG) error is briefly introduced, which is proved to be a considerable error on the basis of Parseval's theorem. With the help of full error analysis mentioned here and the further development of analytical e
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49

Nagaraja, Kamsali, KCharan Kumar, TRajendra Prasad, and MVenkat Ratnam. "Fast Fourier Transform power spectrum of radon activity." Radiation Protection and Environment 41, no. 1 (2018): 30. http://dx.doi.org/10.4103/rpe.rpe_12_18.

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50

Zhang Yan, 张炎, 杨春平 Yang Chunping, 郭晶 Guo Jing, 康美苓 Kang Meiling, and 吴健 Wu Jian. "Spectrum extraction mode for Fourier telescopy in laboratory." High Power Laser and Particle Beams 23, no. 3 (2011): 571–76. http://dx.doi.org/10.3788/hplpb20112303.0571.

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