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Relevant bibliographies by topics / Fourier transformations

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Academic literature on the topic 'Fourier transformations'

Author: Grafiati

Published: 4 June 2021

Last updated: 30 July 2024

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Journal articles on the topic "Fourier transformations"

1

Azooz, A. "Experimentation with Fourier Transformations." International Journal of Electrical Engineering & Education 49, no. 2 (April 2012): 179–96. http://dx.doi.org/10.7227/ijeee.49.2.8.

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Treyderowski, Krzysztof, and Christoph Schwarzweller. "Multiplication of Polynomials using Discrete Fourier Transformation." Formalized Mathematics 14, no. 4 (January 1, 2006): 121–28. http://dx.doi.org/10.2478/v10037-006-0015-y.

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Multiplication of Polynomials using Discrete Fourier Transformation In this article we define the Discrete Fourier Transformation for univariate polynomials and show that multiplication of polynomials can be carried out by two Fourier Transformations with a vector multiplication in-between. Our proof follows the standard one found in the literature and uses Vandermonde matrices, see e.g. [27].

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Zolesio, Jean-Luc. "Transformations de Fourier discrètes: algorithmes rapides." Annales des Télécommunications 40, no. 9-10 (September 1985): 495–507. http://dx.doi.org/10.1007/bf02998222.

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Abe, Sumiyoshi, and John T. Sheridan. "Almost-Fourier and almost-Fresnel transformations." Optics Communications 113, no. 4-6 (January 1995): 385–88. http://dx.doi.org/10.1016/0030-4018(94)00521-u.

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Sadek, Bassel A., Elliot W. Martin, and Susan A. Shaheen. "Forecasting Truck Parking Using Fourier Transformations." Journal of Transportation Engineering, Part A: Systems 146, no. 8 (August 2020): 05020006. http://dx.doi.org/10.1061/jtepbs.0000397.

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Ginzburg, V. A. "Fourier?langlands transformations on reductive groups." Functional Analysis and Its Applications 22, no. 2 (1988): 143–44. http://dx.doi.org/10.1007/bf01077610.

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Ernst, Richard R. "Kernresonanz-Fourier-Transformations-Spektroskopie (Nobel-Vortrag)." Angewandte Chemie 104, no. 7 (July 1992): 817–36. http://dx.doi.org/10.1002/ange.19921040704.

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Azhar, Aurizan Himmi, Sugiyanto Sugiyanto, Muhammad Wakhid Musthofa, and Muhamad Zaki Riyanto. "Transformasi Fourier Multiplikatif Dan Aplikasinya Pada Persamaan Diferensial Multiplikatif." Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika 8, no. 2 (December 20, 2021): 149–60. http://dx.doi.org/10.31316/j.derivat.v8i2.1996.

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This research is a development of multiplicative calculus. This study is about the Fourier multiplicative transformation and its application to the multiplicative differential equation. This study aims to determine the Fourier multiplicative transformation as well as the multiplicative differential equation. This study contains numerical simulations to solve the problem of ordinary multiplicative differential equations of the first order. The methods used in this research are descriptive research methods through the study of literature. The results of this study are the application of multiplicative Fourier transformations to multiplicative differential equations and numerical solutions of ordinary multiplicative differential equations with the Adam Bashforth-Moulton multiplicative method. Keywords: Multiplicative Calculus, Fourier Multiplicative Transformation, Multiplicative Differential Equations, Adams Bashforth Moulton Multiplicative Method

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Parfentyev, Nikolay, Schubert Maignan, and Irina Tkachenko. "Delta function of the Fourier transform." E3S Web of Conferences 535 (2024): 01006. http://dx.doi.org/10.1051/e3sconf/202453501006.

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In the analysis of the double window Fourier transform, it is found that both components of the direct transformation contain an equal amount of information sufficient to restore the original time signal. A double conversion diagram has been constructed. For any initial signal, there is a conjugate signal having the same frequency spectrum. Analysis of the harmonic signal transformation showed that at an arbitrary phase of the harmonic, the frequency representation contains two functions: conditionally unipolar with a maximum at the initial frequency and bipolar with a zero value at the specified frequency. For classical Fourier transformations with an infinite limit of integration, these functions turn into two delta functions with the same properties. The practical application of the found patterns is currently limited by the lack of an algorithm that allows the use of data from only one component.

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Langenbruch, Michael. "Asymptotic Fourier and Laplace transformations for hyperfunctions." Studia Mathematica 205, no. 1 (2011): 41–69. http://dx.doi.org/10.4064/sm205-1-4.

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Dissertations / Theses on the topic "Fourier transformations"

1

Shenoy, Pranab Johnson Jeremy. "Universal FFT core generator/." Philadelphia, Pa. : Drexel University, 2007. http://hdl.handle.net/1860/2535.

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Schardt, Michael [Verfasser]. "Statisches Einzelspiegel-Fourier-Transformations-Infrarotspektrometer / Michael Schardt." Aachen : Shaker, 2018. http://d-nb.info/1162794135/34.

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Yeung, Clifford Po Shek Carleton University Dissertation Engineering Electrical. "A cascadeable pipelined fast Fourier transform switch with built-in self-test." Ottawa, 1992.

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Yu, Sungwook. "VLSI implementation of multidimensional discrete Fourier transform and discrete cosine transform /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.

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Wu, Si Fan. "Speech analysis by AFD." Thesis, University of Macau, 2012. http://umaclib3.umac.mo/record=b2592945.

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Salomão, Luiz Roberto [UNESP]. "Estimativa do expoente de Hurst, por meio da transformada Wavelet, de séries temporais de precipitação de chuvas das regiões climáticas do estado de São Paulo no período de 1978 a 1997." Universidade Estadual Paulista (UNESP), 2006. http://hdl.handle.net/11449/91934.

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Made available in DSpace on 2014-06-11T19:25:32Z (GMT). No. of bitstreams: 0 Previous issue date: 2006-10-26Bitstream added on 2014-06-13T20:14:07Z : No. of bitstreams: 1 salomao_lr_me_rcla.pdf: 917808 bytes, checksum: d44faa6f545a9927fe555baaacdcc99c (MD5)
Este trabalho pode ser separado em duas partes. Na primeira apresentamos, de forma resumida, a natureza fractal das séries de precipitação de chuvas, a estimativa do expoente de Hurst (H), a transformada wavelet, o seu uso na estimativa de H e a comprovação, por meio de testes com séries de movimento browniano fracionário geradas com H estabelecido a priori, que temos um bom método para estimar H com a transformada wavelet. Na segunda parte é feita uma análise das séries temporais de precipitação de chuvas (séries de chuva). As séries de chuvas foram obtidas junto ao Departamento de Águas e Energia Elétrica (DAEE) do estado de São Paulo e são constituídas de medições diárias, em milímetros, da quantidade de chuva em postos meteorológicos distribuídos em todo o estado. Algumas séries apresentam ausências de medições que acabam transformando uma série longa em duas ou mais séries menores. Em função disso foi estabelecido um procedimento que permite aproveitar essas séries com ausências (dias sem medições) para estimar o expoente de Hurst. A partir de considerações climáticas o estado foi dividido em nove regiões. Foram selecionadas séries com 20 anos de registros de chuva (de janeiro de 1978 a dezembro de 1997). Dos valores de H encontrados foi feita uma média para cada região climática do estado de São Paulo.
This work can be separated into two parts. In the first part is briefly presented the fractal nature of the rain precipitation series, the estimate of the Hurst exponent (H), the wavelet transform, its use in the estimate of H and the evidence, by tests with generated series of fractional brownian motion with H established a priori, that we have a good method to estimate H with wavelet transform. In the second part an analysis of rain precipitation series is made. The rain series had been obtained from the Departmento de Águas e Energia Elétrica (DAEE) of the state of São Paulo and contain daily measurements, in milimeters, of the amount of rain in distributed meteorological stations all over the state. Some series present absences of measurements, transforming a long series into two or more lesser series. A procedure was established, allowing to use these series with absences (days with no measurements) to estimate the Hurst exponent. From climatic considerations the state was divided into nine regions. The regions with rain data over a period of 20 years have been selected as rain series (from january 1978 to december 1997). From the several values of H, we computed an averaged value of H for each climatic regions of the state of São Paulo.

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Weber, Stefan. "Fourier-Transformations-Infrarotspektroskopie an seltenen Erd-Hydriden und Manganaten." Aachen Shaker, 2009. http://d-nb.info/994464428/04.

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Maheswaran, Arulnesan. "A new Hilbert time warping principle for pattern matching /." Title page, contents and abstract only, 1985. http://web4.library.adelaide.edu.au/theses/09PH/09phm214.pdf.

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Salomão, Luiz Roberto. "Estimativa do expoente de Hurst, por meio da transformada Wavelet, de séries temporais de precipitação de chuvas das regiões climáticas do estado de São Paulo no período de 1978 a 1997 /." Rio Claro : [s.n.], 2006. http://hdl.handle.net/11449/91934.

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Orientador: José Roberto Campanha
Banca: Hari Mohan Gupta
Banca: Roberto Nicolau Onody
Resumo: Este trabalho pode ser separado em duas partes. Na primeira apresentamos, de forma resumida, a natureza fractal das séries de precipitação de chuvas, a estimativa do expoente de Hurst (H), a transformada wavelet, o seu uso na estimativa de H e a comprovação, por meio de testes com séries de movimento browniano fracionário geradas com H estabelecido a priori, que temos um bom método para estimar H com a transformada wavelet. Na segunda parte é feita uma análise das séries temporais de precipitação de chuvas (séries de chuva). As séries de chuvas foram obtidas junto ao Departamento de Águas e Energia Elétrica (DAEE) do estado de São Paulo e são constituídas de medições diárias, em milímetros, da quantidade de chuva em postos meteorológicos distribuídos em todo o estado. Algumas séries apresentam ausências de medições que acabam transformando uma série longa em duas ou mais séries menores. Em função disso foi estabelecido um procedimento que permite aproveitar essas séries com ausências (dias sem medições) para estimar o expoente de Hurst. A partir de considerações climáticas o estado foi dividido em nove regiões. Foram selecionadas séries com 20 anos de registros de chuva (de janeiro de 1978 a dezembro de 1997). Dos valores de H encontrados foi feita uma média para cada região climática do estado de São Paulo.
Abstract: This work can be separated into two parts. In the first part is briefly presented the fractal nature of the rain precipitation series, the estimate of the Hurst exponent (H), the wavelet transform, its use in the estimate of H and the evidence, by tests with generated series of fractional brownian motion with H established a priori, that we have a good method to estimate H with wavelet transform. In the second part an analysis of rain precipitation series is made. The rain series had been obtained from the Departmento de Águas e Energia Elétrica (DAEE) of the state of São Paulo and contain daily measurements, in milimeters, of the amount of rain in distributed meteorological stations all over the state. Some series present absences of measurements, transforming a long series into two or more lesser series. A procedure was established, allowing to use these series with absences (days with no measurements) to estimate the Hurst exponent. From climatic considerations the state was divided into nine regions. The regions with rain data over a period of 20 years have been selected as rain series (from january 1978 to december 1997). From the several values of H, we computed an averaged value of H for each climatic regions of the state of São Paulo.
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Stickler, Daniel [Verfasser]. "Abbildung von magnetischen Mikrostrukturen mittels Fourier-Transformations-Holografie / Daniel Stickler." Hamburg : Staats- und Universitätsbibliothek Hamburg Carl von Ossietzky, 2010. http://d-nb.info/1236927419/34.

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Books on the topic "Fourier transformations"

1

Oberhettinger, Fritz. Tables of Fourier transforms and Fourier transforms of distributions. Berlin: Springer-Verlag, 1990.

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Sneddon, Ian Naismith. Fourier transforms. New York: Dover Publications, 1995.

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Tolimieri, Richard. Mathematics of multidimensional Fourier transform algorithms. Edited by An Myoung, Lu Chao 1959-, and Burrus C. S. 2nd ed. New York: Springer, 1997.

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Morita, Kiyoshi. Applied Fourier transform. Tokyo, Japan: Ohmsha, 1995.

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Clausen, Michael. Fast Fourier transforms. Mannheim: B.I. Wissenschaftsverlag, 1993.

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Tolimieri, Richard. Mathematics of multidimensional Fourier transform alogrithms. Edited by An Myoung and Lu Chao 1959-. New York: Springer-Verlag, 1993.

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Chu, Eleanor Chin-hwa. Discrete and continuous fourier transforms analysis. Boca Raton, Fla: Chapman & Hall/CRC Press, 2008.

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Sedletskii, A. M. Klassy analiticheskikh preobrazovaniĭ Furʹe i ėksponent︠s︡ialʹnye approksimat︠s︡ii. Moskva: Fiziko-matematicheskai︠a︡ literatura, 2005.

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Brigham, E. Oran. The fast Fourier transform and its applications. Englewood Cliffs, NJ: Prentice-Hall International, 1988.

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Wei, Chʻen, and United States. National Aeronautics and Space Administration., eds. Report on the NASA FFT project: Feasibility study, software design, layout and simulation of a two-dimensional fast Fourier transform machine for use in optical array interferometry. [Washington, DC: National Aeronautics and Space Administration, 1990.

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Book chapters on the topic "Fourier transformations"

1

Buschman, R. G. "Fourier Transformations." In Integral Transformations, Operational Calculus, and Generalized Functions, 81–106. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-1283-3_3.

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Constanda, Christian. "The Fourier Transformations." In Solution Techniques for Elementary Partial Differential Equations, 193–225. Title: Solution techniques for elementary partial differential equations / Christian Constanda, The University of Tulsa, Tulsa, Oklahoma, USA. Description: Third edition. | Boca Raton : CRC Press, Taylor & Francis Group, [2016] | “A Chapman & Hall book.”: Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315381442-8.

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Constanda, Christian. "The Fourier Transformations." In Solution Techniques for Elementary Partial Differential Equations, 215–48. 4th ed. Boca Raton: Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003173045-8.

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Ji, Xinhua, Tao Qian, and John Ryan. "Fourier Theory Under Möbius Transformations." In Clifford Algebras and their Applications in Mathematical Physics, 57–80. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1374-1_4.

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Martens, Jean-Bernard. "Discrete Periodic Signals and Fourier Transformations." In Image Technology Design, 287–314. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4615-0443-6_6.

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Kreis, Th, K. Roesener, and W. Jüptner. "Holografisch interferometrische Verformungsmessung mit dem Fourier-Transformations-Verfahren." In Laser/Optoelektronik in der Technik / Laser/Optoelectronics in Engineering, 159–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83174-4_36.

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Kreis, Th, J. Geldmacher, and W. Jüptner. "Quantitative Auswertung von Interferenzmustern mit dem Fourier-Transformations-Verfahren." In Laser/Optoelektronik in der Technik / Laser/Optoelectronics in Engineering, 360–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-48372-1_75.

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Hitzer, Eckhard, and Stephen J. Sangwine. "The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations." In Quaternion and Clifford Fourier Transforms and Wavelets, 15–39. Basel: Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0603-9_2.

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Chenchevoi, Volodymyr, Serhii Serhiienko, Vira Shendryk, Andrii Nekrasov, and Maksim Fed. "Nonlinear Transformations with Fourier Series as Applied to Electrotechnical Problems." In Lecture Notes in Networks and Systems, 568–78. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05230-9_68.

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Noll, Thomas. "Insiders’ Choice: Studying Pitch Class Sets Through Their Discrete Fourier Transformations." In Mathematics and Computation in Music, 371–78. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-21392-3_32.

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Conference papers on the topic "Fourier transformations"

1

Jiang, Yong, and Jiandong Peng. "Discrete Fourier Transformations with Weight." In 2011 Fourth International Conference on Information and Computing (ICIC). IEEE, 2011. http://dx.doi.org/10.1109/icic.2011.55.

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Hitzer, Eckhard. "The quest for conformal geometric algebra Fourier transformations." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825544.

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Kauderer, Mark. "k-dimensional Fourier transforms in n-dimensional first order systems." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.thg1.

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Ordinarily, having an n-dimensional operator relation implies operator relations for all dimensions less than n as well. However, for Fourier transforms this is not so. Only the effect of one-dimensional Fourier transforms in two-dimensional first order systems has been solved previously.1 A partial Fourier transform applied to a nonsingular linear transformation produces a Ohio' transformation, i.e., a matrix pivot. This implies a new definition of the symplectic group SP(n, C) for n ≥ 4 as the group generated by n-dimensional nonsingular linear transformations and the n one-dimensional Fourier transforms. This also provides an alternative method for generalizing low-dimensional results to higher dimensions. Several apparently new determinantal identities generalizing Chio's theorem are immediate consequences.

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Stockley, Jay E., Steven A. Serati, Darius Subacius, Kevin J. McIntyre, and Ken F. Walsh. "Broadband phase-modulating system for white-light Fourier transformations." In Optoelectronics '99 - Integrated Optoelectronic Devices, edited by Ivan Cindrich, Sing H. Lee, and Richard L. Sutherland. SPIE, 1999. http://dx.doi.org/10.1117/12.349327.

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Bertie, John E., and Zhida Lan. "Accuracy of different Kramers-Konig transformations from reflectivity to phase shift on attenuated total reflection." In Fourier Transform Spectroscopy: Ninth International Conference, edited by John E. Bertie and Hal Wieser. SPIE, 1994. http://dx.doi.org/10.1117/12.166566.

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Bouzid, Ahmed, and Mustafa A. G. Abushagur. "Spatial bilinear transformations in pattern recognition." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1993. http://dx.doi.org/10.1364/oam.1993.thdd.5.

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Fourier transform techniques are vital to the design of optical correlators. Bilinear transformations, on the other hand, are useful to many other applications such as the design of digital HR filters.

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Yu, Francis T. S., M. F. Cao, and T. W. Lu. "Electrooptical linear transformation processing system." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.thl4.

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A microcomputer-based optical linear transformation processing system is described. This system utilizes two patially parallel addressable magnetooptic spatial light modulators and a CCD detector to perform high speed electrooptical operation. A systolic array processing scheme is employed in this system to implement various linear transformations, for example, discrete Fourier transformation, discrete Hilbert transformation, chirp-Z transformation, and many others.

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Ali, Syed Roshaan, and Shahid Pervaz. "Use of fourier transformations and wavelets for satellite image processing." In 2013 International Conference on Aerospace Science & Engineering (ICASE). IEEE, 2013. http://dx.doi.org/10.1109/icase.2013.6785559.

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Hitzer, Eckhard. "Extending Fourier transformations to Hamilton's quaternions and Clifford's geometric algebras." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825413.

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Pei, Soo-Chang, and Yu-Zhe Hsiao. "Spatial Affine transformations of images by using fractional shift fourier transform." In 2015 IEEE International Symposium on Circuits and Systems (ISCAS). IEEE, 2015. http://dx.doi.org/10.1109/iscas.2015.7168951.

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Reports on the topic "Fourier transformations"

1

Maidanik, G., and K. J. Becker. A Double-Sum Technique for Performing a Fourier Transformation on an Integrand Composed of Aliased Factors. Fort Belvoir, VA: Defense Technical Information Center, May 1996. http://dx.doi.org/10.21236/ada316123.

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Corbett, Jaqueline, and Chris Emmanuel Tchatchouang Wanko. Les enjeux transversaux au déploiement et à l'utilisation de l'IA au sein du système professionnel québécois. Observatoire international sur les impacts sociétaux de l’intelligence artificielle et du numérique, March 2022. http://dx.doi.org/10.61737/zfuw6688.

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Il existe un vaste consensus sur l’impact considérable qu’aura l’intelligence artificielle (IA) sur la nature du travail et des emplois du futur. Cependant, il y a moins de certitude quant à la nature de ces impacts et à la manière dont ils se manifesteront dans différents secteurs et types d’emplois. Ce rapport se concentre sur les professions régies par un ordre professionnel au Québec et vise à apporter des éléments de réponse préliminaires à la question suivante: «Comment les ordres professionnels du Québec peuvent-ils se préparer et s’adapter à la nouvelle ère de l’IA?» Pour répondre à cette question, une revue de la littérature d’une sélection de publications professionnelles et scientifiques ainsi que des entretiens avec des experts en la matière ont été effectués. Quatre principaux enjeux transversaux auxquels font face les professions de divers secteurs d’activités sont identifiés dans la recherche: 1. Évolution constante de l’IA 2. Déterminer le rythme d’adoption de l’IA 3. Préserver le rôle du professionnel 4. Accompagner ses clients et patients Sous-jacents à ces quatre enjeux, se trouvent 14 défis distincts qui représentent des obstacles potentiels au déploiement et à l’utilisation efficaces de l’IA au sein du système professionnel québécois. La recherche n’a révélé aucun enjeu ou défi associé à l’IA propre à l’un ou l’autre des 3 secteurs d’activité dans lesquels sont regroupés les ordres professionnels au Québec. Cependant, il y a 4 considérations particulières qui influent sur la nature et l’importance des enjeux et des défis auxquels sont confrontés les ordres professionnels et leurs membres, notamment: - Le type de l’IA déployée, - Le contexte organisationnel dans lequel le professionnel exerce ses activités - Le type de tâches affectées par l’IA Les risques liés aux personnes Dans la dernière partie du rapport, 6 recommandations sont proposées pour aider les parties prenantes du système professionnel québécois à répondre aux défis qui les attendent. Ces recommandations pourront servir à la réflexion que suscite cette transformation technologique: 1. S’engager dans un dialogue proactif avec les professionnels 2. Fournir des balises claires en matière d’imputabilité et responsabilité 3. Adapter les programmes de formation 4. Garantir la priorité de la décision humaine 5. Devenir des partenaires de confiance dans le développement de l’IA 6. Assurer la santé et le bien-être des professionnels

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