Relevant bibliographies by topics / Fourier transforms

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Fourier transforms'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Fourier transforms"

1

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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Radermacher, Michael. "Radon transforms, alignment, and 3d-reconstruction from random projections." Proceedings, annual meeting, Electron Microscopy Society of America 54 (August 11, 1996): 588–89. http://dx.doi.org/10.1017/s0424820100165409.

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Since their inception three-dimensional reconstruction techniques have been based on the theory of Radon transforms. Only much later have Radon transforms been recognized as powerful tools for image processing and pattern recognition. Techniques like the “common lines ” technique for finding the orientation of projections of highly symmetrical particles, which had been developed using Fourier transforms, can easily be translated into a technique that uses Radon transforms. In contrast to Fourier transforms Radon transforms have the advantage of being real valued which simplifies many interpola
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JCE staff. "Fourier Transforms." Journal of Chemical Education 85, no. 12 (2008): 1708. http://dx.doi.org/10.1021/ed085p1708.2.

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Sundararajan, N. "2-D Hartley transforms." GEOPHYSICS 60, no. 1 (1995): 262–67. http://dx.doi.org/10.1190/1.1443754.

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Two different versions of kernels associated with the 2-D Hartley transforms are investigated in relation to their Fourier counterparts. This newly emerging tool for digital signal processing is an alternate means of analyzing a given function in terms of sinusoids and is an offshoot of Fourier transform. Being a real‐valued function and fully equivalent to the Fourier transform, the Hartley transform is more efficient and economical than its progenitor. Hartley and Fourier pairs of complete orthogonal transforms comprise mathematical twins having definite physical significance. The direct and
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Salamat, Kaushef, and Nousheen Ilyas. "DUALITIES BETWEEN FOURIER SINE AND SOME USEFUL INTEGRAL TRANSFORMATIONS." Journal of Mathematical Sciences & Computational Mathematics 2, no. 4 (2021): 542–63. http://dx.doi.org/10.15864/jmscm.2408.

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The most useful technique of the mathematics which are used to finding the solutions of a lot of problems just like bending of beam, electrical network, heat related problems, which occurs in many disciplines of engineering and sciences are the techniques of integral transforms. In our research I discussed the duality between Fourier Sine transforms and some others effective integral transforms (namely Laplace transform, Mahgoub transform, Aboodh transform and Mohand transform). To justify the scope of dualities relation between Fourier Sine transform and other integral transforms (that are me
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Strang, Gilbert. "Wavelet transforms versus Fourier transforms." Bulletin of the American Mathematical Society 28, no. 2 (1993): 288–306. http://dx.doi.org/10.1090/s0273-0979-1993-00390-2.

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Stade, Eric, and E. G. Layton. "Generalized discrete Fourier transforms: the discrete Fourier-Riccati-Bessel transform." Computer Physics Communications 85, no. 3 (1995): 336–70. http://dx.doi.org/10.1016/0010-4655(94)00124-k.

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Kossler, W. J., and E. F. Greco. "Fourier transforms, Hilbert transforms and fitting to Fourier components." Physica B: Condensed Matter 326, no. 1-4 (2003): 222–25. http://dx.doi.org/10.1016/s0921-4526(02)01606-x.

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Székelyhidi, László. "Fourier transform for mean periodic functions." Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, no. 35 (2011): 267–83. https://doi.org/10.71352/ac.35.267.

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Mean periodic functions are natural generalizations of periodic functions. There are different transforms — like Fourier transforms — defined for these types of functions. In this note we introduce some transforms and compare them with the usual Fourier transform.
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Corinthios, Michael J. "New Laplace, z and Fourier-related transforms." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2081 (2007): 1179–98. http://dx.doi.org/10.1098/rspa.2007.1814.

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In this paper, the author uses his recently proposed complex variable generalized distribution theory to expand the domains of existence of bilateral Laplace and z transforms, as well as a whole new class of related transforms. A vast expansion of the domains of existence of bilateral Laplace and z transforms and continuous-time and discrete-time Hilbert, Hartley and Mellin transforms, as well as transforms of multidimensional functions and sequences are obtained. It is noted that the Fourier transform and its applications have advanced by leaps and bounds during the last century, thanks to th
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Dissertations / Theses on the topic "Fourier transforms"

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Debernardi, Pinos Alberto. "Convergence and integrability of fourier transforms." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/463030.

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El propòsit d'aquesta tesi és el d'estudiar dos tipus de problema diferents per a certes transformades de Fourier. Primer investiguem la convergència uniforme d'integrals sinusoidals en una i dos dimensions. Per a dur a terme aquesta investigació, utilitzem una condicio de monotonia general, recentment introduïda, tot desenvolupant aquesta teoria en concordança amb les nostres necessitats. Com a resultats principals, obtenim condicions necessàries i suficients que les funcions monòtones generals han de satisfer per tal de poder assegurar la convergència uniforme de les seves respectives tra
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Khan, Aman Ullah. "Parallel computation of fast Fourier transforms." Thesis, Cardiff University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340239.

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Whittle, Gruffudd Hannah Rebecca. "Relaxation spectrum recovery using Fourier transforms." Thesis, Aberystwyth University, 2012. http://hdl.handle.net/2160/f2b30f89-dc62-4038-83c9-1857eca8a2b5.

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In this thesis we consider the problem of recovering the relaxation spectrum from the storage and loss moduli. We invert an integral equation using Fourier transforms. Recovering the relaxation spectrum is an inverse, ill-posed problem and hence regularisation methods must be used to try and obtain the relaxation spectrum. We are particularily interested in establishing properties of the relaxation spectrum. We note from the literature that there are results of compact support for the relaxation spectrum; we review to what extent and in what sense, these results are valid. We consider the meth
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Lucrecio, Armando. "ISAR imaging using Fourier and wavelet transforms." Thesis, Monterey, Calif. : Naval Postgraduate School, 2007. http://bosun.nps.edu/uhtbin/hyperion-image.exe/07Dec%5FLucrecio.pdf.

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Thesis (M.S. in Physics)--Naval Postgraduate School, December 2007.<br>Thesis Advisor(s): Borden, Brett ; Cristi, Roberto. "December 2007." Description based on title screen as viewed on January 23, 2008 Includes bibliographical references (p. 61-62). Also available in print.
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Long, Na. "Basic theorems of distributions and Fourier transforms." Kansas State University, 2014. http://hdl.handle.net/2097/18731.

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Master of Science<br>Department of Mathematics<br>Marianne Korten<br>Distribution theory is an important tool in studying partial differential equations. Distributions are linear functionals that act on a space of smooth test functions. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. In particular, any locally integrable function has a distributional derivative. There are different possible choices for the space of test functions, leading to different spaces of distributions. In this report, we take a look at some basic theory of
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Amodeo, F. "FOURIER-MUKAI TRANSFORMS FOR SINGULAR PROJECTIVE VARIETIES." Doctoral thesis, Università degli Studi di Milano, 2014. http://hdl.handle.net/2434/245441.

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This Ph. D thesis deals with various aspects of the theory of derived categories of sheaves on projective varieties. The first result is a generalization of a representability theorem by Lunts and Orlov for fully faithful functors where the source derived category is the derived category of sheaves over the double point scheme. The second result is a description of the space of stability conditions for the same derived category. The final result is a descend criterion for equivariant sheaves to the quotient variety with respect to an action by a finite group.
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Williams, Christopher Paul. "Application of Hartley and Hilbert transforms in Fourier transform ion cyclotron resonance mass spectrometry /." The Ohio State University, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487760357822985.

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Mukanov, Askhat. "Integrability of Fourier transforms, general monotonicity, and related problems." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/463043.

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El propòsit d'aquesta tesi és el d'estudiar les propietats d'integrabilitat i convergència de sèries i transformades de Fourier. Els resultats principals són els següents: 1. Incestiguem les propietats d'integrabilitat de sèries trigonomètriques amb coeficients que satisfan una condició de monotonia general i demostrem resultats del tipus Hardy-Littlewood, és a dir, equivalències entre normes de les sumes de sèries trigonomètriques i normes amb pesos dels seus coeficients de Fourier. Demostrem aquestes equivalències en espais de Lorentz i espais de Lebesgue amb pesos. 2. Estudiem propietats de
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Öhlin, Andreas. "Real-Time Multi-Dimensional Fast Fourier Transforms on FPGAs." Thesis, Linköpings universitet, Datorteknik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-120250.

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This thesis presents a way of performing multi dimensional FFT in a continuousflow environment by calculating the FFT of each dimension separately ina pipeline. The result is a three dimensional pipelined FFT implemented on aStratix III FPGA. It can calculate the three dimensional FFT of a data set containing2563 samples with a word size of 32 bits. The biggest challenge and themain part of the work are the data permutations in between the one dimensionalFFT modules, this part of the design make use of an external DDR2 SDRAMas well as on-chip BRAM to store and permute data between the modules.
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Al-Harbi, Hamad F. "Crystal plasticity finite element simulations using discrete Fourier transforms." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/51788.

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Crystallographic texture and its evolution are known to be major sources of anisotropy in polycrystalline metals. Highly simplified phenomenological models cannot usually provide reliable predictions of the materials anisotropy under complex deformation paths, and lack the fidelity needed to optimize the microstructure and mechanical properties during the production process. On the other hand, physics-based models such as crystal plasticity theories have demonstrated remarkable success in predicting the anisotropic mechanical response in polycrystalline metals and the evolution of underlying t
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Books on the topic "Fourier transforms"

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Gray, Robert M., and Joseph W. Goodman. Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8.

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Sneddon, Ian Naismith. Fourier transforms. Dover Publications, 1995.

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Chandrasekharan, Komaravolu. Classical Fourier Transforms. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74029-9.

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

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Oberhettinger, Fritz. Tables of Fourier Transforms and Fourier Transforms of Distributions. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-74349-8.

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

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Oberhettinger, Fritz. Tables of Fourier Transforms and Fourier Transforms of Distributions. Springer Berlin Heidelberg, 1990.

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Jari, Partanen, ed. Fourier transforms in spectroscopy. Wiley-VCH, 2001.

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Pettit, Frank. Fourier transforms in action. Chartwell-Bratt, 1985.

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Harding, Robert D. Fourier series and transforms. Hilger, 1985.

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Book chapters on the topic "Fourier transforms"

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Gray, Robert M., and Joseph W. Goodman. "Fourier Inversion." In Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8_3.

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Gray, Robert M., and Joseph W. Goodman. "Signals and Systems." In Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8_1.

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Gray, Robert M., and Joseph W. Goodman. "The Fourier Transform." In Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8_2.

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Gray, Robert M., and Joseph W. Goodman. "Basic Properties." In Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8_4.

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Gray, Robert M., and Joseph W. Goodman. "Generalized Transforms and Functions." In Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8_5.

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Gray, Robert M., and Joseph W. Goodman. "Convolution and Correlation." In Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8_6.

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Gray, Robert M., and Joseph W. Goodman. "Two Dimensional Fourier Analysis." In Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8_7.

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Gray, Robert M., and Joseph W. Goodman. "Memoryless Nonlinearities." In Fourier Transforms. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2359-8_8.

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Burgot, Gwenola, and Jean-Louis Burgot. "Fourier Transforms and Fourier Transforms N.M.R." In General Analytical Chemistry. CRC Press, 2023. http://dx.doi.org/10.1201/9781003189688-30.

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Sinha, Rajnikant. "Fourier Transforms." In Real and Complex Analysis. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0938-0_3.

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Conference papers on the topic "Fourier transforms"

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Amaro, Luis, Yutong Liu, Justin Kuo, and Amit Lal. "CMOS Integrated Optically Driven Sonic Fourier Transforms." In 2024 IEEE Ultrasonics, Ferroelectrics, and Frequency Control Joint Symposium (UFFC-JS). IEEE, 2024. https://doi.org/10.1109/uffc-js60046.2024.10793992.

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Carey, Benjamin, Robert J. Adams, and John C. Young. "A Sparse Data Structure for Graph Fourier Transforms." In SoutheastCon 2025. IEEE, 2025. https://doi.org/10.1109/southeastcon56624.2025.10971542.

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Pancott, B., and C. D. Reeve. "Bragg cell processors for complete Fourier transforms." In OSA Annual Meeting. Optica Publishing Group, 1985. http://dx.doi.org/10.1364/oam.1985.wj36.

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Bragg cell acoustooptic processors have been used to find the complete Fourier transforms of signals using various architectures. Two dual-Bragg cell systems which implement the multiply-convolve-multiply algorithm have been used to obtain the real and imaginary parts of the continuous Fourier transform of various signals. The results are compared with the theoretically calculated transforms, and the performance of the processor is evaluated. The possibility of obtaining a complete Fourier transform using only a single Bragg cell is considered.
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Pattison, John H. "Three-dimensional optical Fourier transforms." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.mx2.

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The optical Fourier transform need not be restricted to the praxial case; it maybe generalized to describe large-angle diffraction from weakly scattering space-filling objects. The three-dimensional optical transform is based on the geometry of the Ewald–Laue construction: (1) The object is illuminated by a plane wave k; (2) each plane-wave component k' of scattered light is focused at the point Mk' with respect to the object-space origin (M is a dimensional factor scaling the wave vector into a displacement vector); (3) the image at the focal sphere is translated by–Mk; and (4) steps 1–3 are
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Kirkwood, Jason C., and A. C. Albrecht. "Interferometric probing by broadband optical radiation: Downconversion of Raman frequencies and Fourier transforms of Raman spectrograms." In Fourier Transform Spectroscopy. OSA, 1999. http://dx.doi.org/10.1364/fts.1999.fwa2.

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Sheikh, Akilahmad G., Nitin M. Bhondge, and Alim S. Khan. "Relationship of fractional Hilbert transform with Fourier and fractional Fourier Transforms." In SECOND ONLINE INTERNATIONAL CONFERENCE ON RESEARCH FRONTIERS IN SCIENCES. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0224534.

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Mendlovic, David, Haldun M. Ozaktas, and Adolf W. Lohmann. "Self-Fourier functions and fractional Fourier transforms." In OSA Annual Meeting. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/oam.1993.wtt.9.

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The Fourier transform is perhaps the most important analytical tool in wave optics. Hence Fourier-related concepts are likely to have an important on optics. We will likely recall two novel concepts and then show how they are interrelated. A self-Fourier function (SFF) [1,2] is a function whose Fourier transform is identical to itself. Another issue that has been recently investigated is the fractional Fourier transform. Two distinct definitions of the fractional Fourier transform have been given. In the first one [1], the fractional Fourier transform was defined physically, based on propagati
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Perfilieva, Irina, and Petra Hod'akova. "Fuzzy and Fourier Transforms." In 7th conference of the European Society for Fuzzy Logic and Technology. Atlantis Press, 2011. http://dx.doi.org/10.2991/eusflat.2011.12.

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Castro, Albertina, and Jorge Ojeda-Castaneda. "Self-fractional Fourier transforms." In 3rd Iberoamerican Optics Meeting and 6th Latin American Meeting on Optics, Lasers, and Their Applications, edited by Angela M. Guzman. SPIE, 1999. http://dx.doi.org/10.1117/12.358413.

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Labunets, Valeriy, Victor Chasovskikh, and Nicolas Ostheimer. "All Fourier-Clifford Transforms." In 2021 International Conference on Information Technology and Nanotechnology (ITNT). IEEE, 2021. http://dx.doi.org/10.1109/itnt52450.2021.9649061.

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Reports on the topic "Fourier transforms"

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Yegulalp, A. F. Asymptotic Error for Windowed Discrete Fourier Transforms. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada452964.

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Sorets, Eugene. Fast Fourier Transforms of Piecewise Constant Functions. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada272648.

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Tang, Xiaoou, and W. K. Stewart. Texture Classification Using Wavelet Packet and Fourier Transforms. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada324161.

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Ueng, Neng-Tsann, and Louis L. Scharf. Frames and Orthonormal Bases for Variable Windowed Fourier Transforms. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada311766.

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Bennett, Paul. Parallelization of Two- and Three-Dimensional Fast Fourier Transforms. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada387428.

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Warshaw, S. I. Fourier Transforms of Pulses Containing Exponential Leading and Trailing Profiles. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/15002784.

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Ringrose, Sharon. The use of Fourier reverse transforms in crystallographic phase refinement. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/654353.

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Franzen, John P. Wideband Pulse Propagation in Linear Dispersive Bio-dielectrics Using Fourier Transforms. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada371944.

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Sullivan, T. D. A technique for convolving unequally spaced samples using fast Fourier transforms. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/7015562.

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Zheng, Y., [Lawrence Berkeley Lab., CA (United States)], and D. A. Shirley. Simple surface structure determination from Fourier transforms of angle-resolved photoemission extended fine structure. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/88786.

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