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Journal articles on the topic 'Concept Fourier'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Malahayati, Malahayati. "Konsep Fungsi Semikontinu." Jurnal Fourier 3, no. 2 (2014): 91. http://dx.doi.org/10.14421/fourier.2014.32.91-104.

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2

Zheng, Guoan, Cheng Shen, Shaowei Jiang, Pengming Song, and Changhuei Yang. "Concept, implementations and applications of Fourier ptychography." Nature Reviews Physics 3, no. 3 (2021): 207–23. http://dx.doi.org/10.1038/s42254-021-00280-y.

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3

Abdurrahman, Saman. "Ideal Fuzzy Semiring Atas Level Subset." Jurnal Fourier 11, no. 1 (2022): 1–6. http://dx.doi.org/10.14421/fourier.2022.111.1-6.

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Semiring merupakan salah satu perluasan dari ring, dengan cara menghilangan salah satu aksioma pada operasi pertama yaitu aksioma invers. Pada semiring terdapat konsep subsemiring dan ideal dengan kondisi bahwa setiap ideal semiring adalah selalu subsemiring. Tetapi kondisi kebalikannya belum tentu berlaku. Selain konsep subsemiring dan ideal semiring, pada struktur semiring diperkenalkan konsep homomorfisma semiring. Kondisi ini, analog dengan homomorfisma di ring, sehingga sifat-sifat yang ada pada semiring dapat dinduksi dari sifat - sifat di ring, seperti konsep image dan preimage di bawah

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4

Isrok’atun, Isrok’atun. "Peningkatan Pemahaman Tentang Garis Tinggi Pada Segitiga Dengan Pembelajaran Konstruktivisme (Studi Kasus Pada Mahasiswa Dual Mode Konsentrasi IPS, UPI Kampus Serang)." Jurnal Fourier 1, no. 2 (2012): 63. http://dx.doi.org/10.14421/fourier.2012.12.63-69.

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Knowledge is the student’s construction result that affect to the more meaningful learning. Sometimes, teachers forget that a student has self-live experiences as their initial concept. When expressed their initial concept, students will be easier to accept new material knowledge, because students will constructing their knowledge indirectly. The constructivism of learning is a teaching and learning process to make students themselves mentally active to construct their knowledge, based on cognitive structure that they ever had before. In the relationship to the student’s geometry concept, it m

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5

Fischer, K. F., A. Kirfel, and H. Zimmermann. "Structure determination without Fourier inversion: a new concept." Acta Crystallographica Section A Foundations of Crystallography 62, a1 (2006): s89. http://dx.doi.org/10.1107/s0108767306098217.

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6

Protopopov, V. "Imaging Fourier spectrometer in visible domain: design concept." Applied Optics 59, no. 21 (2020): 6252. http://dx.doi.org/10.1364/ao.394509.

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7

Friedl-Vallon, F., T. Gulde, F. Hase, et al. "Instrument concept of the imaging Fourier transform spectrometer GLORIA." Atmospheric Measurement Techniques 7, no. 10 (2014): 3565–77. http://dx.doi.org/10.5194/amt-7-3565-2014.

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Abstract. The Gimballed Limb Observer for Radiance Imaging of the Atmosphere (GLORIA) is an imaging limb emission sounder operating in the thermal infrared region. It is designed to provide measurements of the upper troposphere/lower stratosphere with high spatial and high spectral resolution. The instrument consists of an imaging Fourier transform spectrometer integrated into a gimbal. The assembly can be mounted in the belly pod of the German High Altitude and Long Range research aircraft (HALO) and in instrument bays of the Russian M55 Geophysica. Measurements are made in two distinct modes

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Friedl-Vallon, F., T. Gulde, F. Hase, et al. "Instrument concept of the imaging Fourier transform spectrometer GLORIA." Atmospheric Measurement Techniques Discussions 7, no. 3 (2014): 2301–37. http://dx.doi.org/10.5194/amtd-7-2301-2014.

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Abstract. The Gimballed Limb Observer for Radiance Imaging of the Atmosphere (GLORIA) is an imaging limb emission sounder operating in the thermal infrared region. It is designed to provide measurements of the Upper Troposphere/Lower Stratosphere with high spatial and high spectral resolution. The instrument consists of an imaging Fourier transform spectrometer integrated in a gimbal. The assembly can be mounted in the belly pod of the German high altitude and long range research aircraft HALO and in instrument bays of the Russian M55 Geophysica. Measurements are made predominantly in two dist

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9

Yu Burova, A. "Concept of multistage discrete fourier transform without performing multiplications." Journal of Physics: Conference Series 1889, no. 2 (2021): 022003. http://dx.doi.org/10.1088/1742-6596/1889/2/022003.

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10

Sulistiani, Ika Ratih. "Pembelajaran Luas Daerah Persegi Panjang Berdasarkan Standar Pengajaran National Council of Teachers of Mathematics (NCTM) Untuk Meningkatkan Pemahaman Siswa Kelas III SDN Dinoyo I Malang." Jurnal Fourier 1, no. 1 (2012): 11. http://dx.doi.org/10.14421/fourier.2012.11.11-16.

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This research is analyzing the problem that faced by students of SD Negeri 1 Dinoyo Malang in difficulty of understanding rectangle area. According to the discussion with their teacher, it is found that the learning still not gives more chance to the students to find out the concept of rectangle area with their own ways. Moreover, some students are difficult in solving daily problem containing model of rectangle area. Therefore it needs great effort to build students understanding on the concept of rectangle area. One of effort that teacher can do is trying to apply the learning based on proce

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11

Hornfeck, Wolfgang, and Philipp Kuhn. "Diaphony, a measure of uniform distribution, and the Patterson function." Acta Crystallographica Section A Foundations and Advances 71, no. 4 (2015): 382–91. http://dx.doi.org/10.1107/s2053273315007123.

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This paper reviews the number-theoretic concept ofdiaphony, a measure of uniform distribution for number sequences and point sets based on a Fourier theory approach, and its relation to crystallographic concepts like the largest interplanar spacing of a lattice, the structure-factor equation and the Patterson function.

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12

Pawlowski, Robert S. "Green’s equivalent‐layer concept in gravity band‐pass filter design." GEOPHYSICS 59, no. 1 (1994): 69–76. http://dx.doi.org/10.1190/1.1443535.

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Green’s concept of an equivalent‐source layer is invoked to construct a data adaptive, zero‐phase, Wiener band‐pass filter for regional‐residual gravity anomaly separation. The observed gravity field’s Fourier power spectrum is modeled with two Green’s equivalent‐source layers, one equivalent layer for the shallower (residual field) geologic sources, and a second equivalent layer for the deeper (regional field) geologic sources. The depths and average physical property contrasts of the two equivalent layers are determined by fitting the observed gravity field’s Fourier power spectrum with a tw

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13

Amini, Massoud, and Alireza Medghalchi. "Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–21. http://dx.doi.org/10.1155/2011/324821.

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The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids. In this paper, we investigate the concept of restricted positive definite functions and their relation with restricted representations of an inverse semigroup. We also introduce the restricted Fourier and Fourier-Stieltjes algebras of an inverse semigroup and study their relation with the corresponding algebras on the associated groupoid.

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14

Sivaraman, Ramaswamy, Juan Jose Diaz Bulnes, Andres Lucas-Bravo, and Jose Luis López-Bonilla. "A Note on Trigonometric Interpolation and the Discrete Fourier Transform." European Journal of Theoretical and Applied Sciences 1, no. 4 (2023): 1302–4. http://dx.doi.org/10.59324/ejtas.2023.1(4).120.

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The concept of Fourier Series is widely used in several Engineering problems like Wave Equations, Heat Equations, Laplace Equations, Signal Processing and much more. The concept of Discrete Fourier Transforms is the equivalent of continuous Fourier Transforms (DFT) for signals transmitted at finite number of points. The interpolation process allows us to manipulate the values of a discrete data in between the given input values. The process of interpolation is usually done with finite differences methods using forward, backward, central operators. We can also make interpolation process by usin

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15

Ramaswamy, Sivaraman, Jose Diaz Bulnes Juan, Lucas-Bravo Andres, and Luis López-Bonilla Jose. "A Note on Trigonometric Interpolation and the Discrete Fourier Transform." European Jornal of Theoretical and Sciences 1, no. 4 (2023): 1302–4. https://doi.org/10.59324/ejtas.2023.1(4).120.

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The concept of Fourier Series is widely used in several Engineering problems like Wave Equations, Heat Equations, Laplace Equations, Signal Processing and much more. The concept of Discrete Fourier Transforms is the equivalent of continuous Fourier Transforms (DFT) for signals transmitted at finite number of points. The interpolation process allows us to manipulate the values of a discrete data in between the given input values. The process of interpolation is usually done with finite differences methods using forward, backward, central operators. We can also make interpolation process by usin

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16

Wang, Fei Fei, and B. Wang. "Current Research Progress in Non-Classical Fourier Heat Conduction." Applied Mechanics and Materials 442 (October 2013): 187–96. http://dx.doi.org/10.4028/www.scientific.net/amm.442.187.

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Classical Fourier law can accurately describe most heat conduction problems. But for ultrafast heat conduction process and micro/nanoscale heat conduction problems, non-classical Fourier (non-Fourier) effect may become dominated. The paper gives a review on the current progress on non-Fourier heat conduction in engineering. It includes basic concept, physical models, thermal relaxation effect, and related experiments. Also introduced are the solution methods of non-Fourier heat conduction equations, including closed-form solution, finite difference method, finite element method, molecular dyna

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17

Besalú, E. "A Graphical Representation To Teach the Concept of the Fourier Transform." Journal of Chemical Education 83, no. 12 (2006): 1795. http://dx.doi.org/10.1021/ed083p1795.

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18

Abrori, Muchammad. "Metode Akra-Bazzi Sebagai Generalisasi Metode Master Dalam Menyelesaikan Relasi Rekurensi." Jurnal Fourier 2, no. 2 (2013): 63. http://dx.doi.org/10.14421/fourier.2013.22.63-72.

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Rekurensi relation is an equation that relates the elements of a sequence. One of the benefits of the rekurensi relation can be used to calculate the running time/finish of an algorithm. Some algorithms use approach devide-and-conquer in resolving a problem. Rekurensi relations with the approach of the devide and conquer can be solved by several methods. This research aims to know the Akra-Bazzi Method as an extension Method of the Master. This research began with the dissected the concept pertaining to the Relation Rekurensi, methods for resolving Relationship Rekurensi, and lastly about meth

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19

Parmikanti, Kankan, and Endang Rusyaman. "Grundwald-Letnikov Operator and Its Role in Solving Fractional Differential Equations." EKSAKTA: Berkala Ilmiah Bidang MIPA 23, no. 03 (2022): 223–30. http://dx.doi.org/10.24036/eksakta/vol23-iss03/331.

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Leibnitz in 1663 introduced the derivative notation for the order of natural numbers, and then the idea of fractional derivatives appeared. Only a century later, this idea began to be realized with the discovery of the concepts of fractional derivatives by several mathematicians, including Riemann (1832), Grundwal, Fourier, and Caputo in 1969. The concepts in the definitions of fractional derivatives by Riemann-Liouville and Caputo are more frequently used than other definitions, this paper will discuss the Grunwald-Letnikov (GL) operator, which has been discovered in 1867. This concept is les

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20

Bassa, C. G., J. W. Romein, B. Veenboer, S. van der Vlugt, and S. J. Wijnholds. "Fourier-domain dedispersion." Astronomy & Astrophysics 657 (January 2022): A46. http://dx.doi.org/10.1051/0004-6361/202142099.

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We present and implement the concept of the Fourier-domain dedispersion (FDD) algorithm, a brute-force incoherent dedispersion algorithm. This algorithm corrects the frequency-dependent dispersion delays in the arrival time of radio emission from sources such as radio pulsars and fast radio bursts. Where traditional time-domain dedispersion algorithms correct time delays using time shifts, the FDD algorithm performs these shifts by applying phase rotations to the Fourier-transformed time-series data. Incoherent dedispersion to many trial dispersion measures (DMs) is compute-, memory-bandwidth-

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21

TARASOV, VASILY E. "FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE." International Journal of Mathematics 18, no. 03 (2007): 281–99. http://dx.doi.org/10.1142/s0129167x07004102.

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Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of selfadjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator. Fractional generalization of concept of stability is considered.

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22

Hu, Yuchen. "The Introductory Analysis on Fourier Series." Highlights in Science, Engineering and Technology 38 (March 16, 2023): 544–50. http://dx.doi.org/10.54097/hset.v38i.5879.

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Numerical analysis benefits from spectral methods. The Fourier series and Chebyshev polynomials were initially used to solve ordinary differential equations by Cornelius Lanczos. For the first time, spectral approaches were employed by Kreiss, Oliger, Orszag, and other scholars in the 1970s to resolve the partial differential equations of fluid mechanics. In Fourier analysis, general functions are expressed as the sums of a variety of fundamental function options, such as sines and cosines.This paper gives an introductory analysis on Fourier Series. Starting with the basic definition of Fourie

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23

Nu’man, Mulin. "Penanaman Karakter Penalaran Matematis Dalam Pembelajaran Matematika Melalui 1 Pola Pikir Induktif-Deduktif." Jurnal Fourier 1, no. 2 (2016): 53. http://dx.doi.org/10.14421/fourier.2012.12.53-62.

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One of the mathematics learning purposes is using reasoning in patterns and properties, mathematical manipulation in making generalization, compiling evidence, or explaining mathematical ideas and statements. Mathematical learning based on behaviorism has been seen as less successful in instilling character of mathematics reasoning. Therefore, it is necessary to find alternative learning not only teaching but instilling character of mathematical reasoning. This paper offers constructivist in mathematics learning, which is one of the ways to involve the use of inductive-deductive thinking. Acti

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24

Zimmermann, Helmuth, and Karl F. Fischer. "Structure determination without Fourier inversion. V. A concept based on parameter space." Acta Crystallographica Section A Foundations of Crystallography 65, no. 6 (2009): 443–55. http://dx.doi.org/10.1107/s0108767309030293.

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25

Lacan, Antoine, François-Marie Bréon, Alain Rosak, et al. "A static Fourier transform spectrometer for atmospheric sounding: concept and experimental implementation." Optics Express 18, no. 8 (2010): 8311. http://dx.doi.org/10.1364/oe.18.008311.

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26

Mfoumou, Etienne, Narayanswami Sivakumar, Amber Yasmeen, Ala-Eddin Al Moustafa, and Ion Stiharu. "A new concept to measure cell proliferation using Fourier transform infrared spectroscopy." Medical Hypotheses 79, no. 2 (2012): 171–73. http://dx.doi.org/10.1016/j.mehy.2012.04.026.

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27

Naghizadeh, Mostafa, and Mauricio D. Sacchi. "On sampling functions and Fourier reconstruction methods." GEOPHYSICS 75, no. 6 (2010): WB137—WB151. http://dx.doi.org/10.1190/1.3503577.

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Random sampling can lead to algorithms in which the Fourier reconstruction is almost perfect when the underlying spectrum of the signal is sparse or band-limited. Conversely, regular sampling often hampers the Fourier data recovery methods. However, 2D signals that are band-limited in one spatial dimension can be recovered by designing a regular acquisition grid that minimizes the mixing between the unknown spectrum of the well-sampled signal and aliasing artifacts. This concept can be easily extended to higher dimensions and used to define potential strategies for acquisition-guided Fourier r

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28

Corcino, Cristina Bordaje, and Roberto Bagsarsa Corcino. "Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order." Axioms 11, no. 3 (2022): 86. http://dx.doi.org/10.3390/axioms11030086.

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In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by mixing the concept of Tangent polynomials with that of Bernoulli and Genocchi polynomials, Tangent–Bernoulli and Tangent–Genocchi polynomials. Furthermore, Fourier series expansions of these variations are also derived using the Cauchy residue theorem.

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29

Shi, John Z. "Some Early Studies of Isotropic Turbulence: A Review." Atmosphere 15, no. 4 (2024): 494. http://dx.doi.org/10.3390/atmos15040494.

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A re-examination of some early classic turbulence literature, mainly of isotropic turbulence, is given in this selective review. Some early studies, including original concepts and points, are reviewed or highlighted. Two earliest studies and six major original concepts are found: (i) Lord Kelvin’s pioneering elementary studies of homogeneous, isotropic turbulence; (ii) Kelvin’s early introduction of Fourier Principles into turbulence studies; (iii) the Kelvin elementary concept of the direct energy cascade; (iv) the Kelvin early concept of the symmetry of turbulence; (v) the Taylor concept of

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30

Zhang, Xindan, and Haoyuan Zheng. "Signal Enhancement Methods Based on Wavelet Transform, Fractional Fourier Transform and Short-time Fourier Transform." Highlights in Science, Engineering and Technology 76 (December 31, 2023): 222–30. http://dx.doi.org/10.54097/eyfndn07.

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This review paper mainly focuses on different signal enhancement methods such as wavelet transform, fractional Fourier transform (FrFT) and short-time Fourier transform (STFT). First, this paper introduces the concept and importance of signal enhancement, as well as some current issues and challenges. Then, in recent years, the application of the three methods in wavelet transform, fractional Fourier transform and short-time Fourier transform is described. In terms of wavelet transform, this paper discusses the application of wavelet function to image enhancement and the specific steps, and an

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31

Burla, Maria Cristina, Benedetta Carrozzini, Giovanni Luca Cascarano, Carmelo Giacovazzo, and Giampiero Polidori. "Extending Ab Initio Phasing up to 2.2 Å Resolution: New Superposition Techniques." Crystals 13, no. 6 (2023): 874. http://dx.doi.org/10.3390/cryst13060874.

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Patterson superposition techniques are a historical method for solving the structures of small molecules ab initio, provided they contain heavy atoms in the unit cell. In the 1990s, they were combined with effective EDM procedures and succeeded in the crystal structure solution of macromolecular structures with resolution data up to 1.6–1.9 Å. In this paper we enlarge the concept of Patterson superposition by replacing it with the vector superposition concept. We show, indeed, that besides Patterson other Fourier syntheses may also be used for the superposition of the interatomic vectors. Five

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32

Akhazhanov, T. B., N. А. Bokayev, D. T. Matin, and T. Aktosun. "Coefficients of multiple Fourier-Haar series and variational modulus of continuity." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 112, no. 4 (2023): 21–29. http://dx.doi.org/10.31489/2023m4/21-29.

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In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and prove theorems of absolute convergence of series composed of the coefficients of multiple Fourier-Haar series. In this paper, we study the issue of the absolute convergence for multiple series composed of the Fourier-Haar coefficients of functions of several variables of bounded p-variation. We estimate the coefficients of a multiple Fourier-Haa

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33

Sánchez-Lemus, M. C., F. F. Schoeggl, S. D. Taylor, et al. "Characterization of Heavy Distillation Cuts Using Fourier Transform Infrared Spectrometry: Proof of Concept." Energy & Fuels 30, no. 12 (2016): 10187–99. http://dx.doi.org/10.1021/acs.energyfuels.6b01912.

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34

Sohail, A., W. A. Khan, M. Khan, and S. I. A. Shah. "Homotopic solutions for unsteady second grade liquid utilizing non-Fourier double diffusion concept." Results in Physics 7 (2017): 2798–803. http://dx.doi.org/10.1016/j.rinp.2017.07.041.

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35

Asghar, Z., Muneeba Kousar, M. Waqas, M. Irfan, M. Bilal, and W. A. Khan. "Heat generation in mixed convected Williamson liquid stretching flow under generalized Fourier concept." Applied Nanoscience 10, no. 12 (2020): 4439–44. http://dx.doi.org/10.1007/s13204-020-01500-0.

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36

Jaber, Marwan A., та Daniel Massicotte. "Radix-2α/4β Building Blocks for Efficient VLSI’s Higher Radices Butterflies Implementation". VLSI Design 2014 (13 травня 2014): 1–13. http://dx.doi.org/10.1155/2014/690594.

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This paper describes an embedded FFT processor where the higher radices butterflies maintain one complex multiplier in its critical path. Based on the concept of a radix-r fast Fourier factorization and based on the FFT parallel processing, we introduce a new concept of a radix-r Fast Fourier Transform in which the concept of the radix-r butterfly computation has been formulated as the combination of radix-2α/4β butterflies implemented in parallel. By doing so, the VLSI butterfly implementation for higher radices would be feasible since it maintains approximately the same complexity of the rad

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Alibrahim, Ali Hamzah, and Saptarshi Das. "Fourier Series Related to p-Trigonometric Functions." Axioms 13, no. 9 (2024): 600. http://dx.doi.org/10.3390/axioms13090600.

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In this paper, we introduce the concept of generalized Fourier series, generated by the p-trigonometric functions, namely cosp and sinp, recently introduced related to the generalized complex numbers systems. The aim of this study is to represent a periodic signal as a sum of p-sine and p-cosine functions. In order to achieve this, we first present the integrals of the product of the same or different family of p-trigonometric functions over the full period of these functions to understand the orthogonality properties. Next, we use these integrals to derive the coefficients of the generalized

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Perru, Olivier. "Le concept d'association et l'unité politique : étude critique chez Saint-Simon, Fourier et Marx." Philosophiques 26, no. 1 (2002): 83–108. http://dx.doi.org/10.7202/004965ar.

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RÉSUMÉ Enraciné dans la philosophie politique au XVIIIe siècle français, le concept d’association occupe une place essentielle dans la philosophie de Saint-Simon. Chez cet auteur, l’association a pour objet la production, elle présuppose une organisation intégrée et constitue l’unité de la société. La société organique de Saint-Simon évolue selon un principe de complexification vers un grand but industriel commun. Fourier place aussi l’association comme condition de la coopération, mais elle en est le moteur. L’organisation de l’investissement psychologique dans l’association créerait continue

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Li, Jianguo, Sining An, Jianping An, Herbert Zirath, and Simon He Zhongxia. "OFDM Radar Range Accuracy Enhancement Using Fractional Fourier Transformation and Phase Analysis Techniques." IEEE SEnsors Journal ISSN: 1530-437X (October 7, 2019): 1. https://doi.org/10.1109/JSEN.2019.2946003.

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Orthogonal Frequency Division Multiplexing (OFDM) technique is obtained significant attention in radar applications for its interference resilience property. In this paper, Fractional Fourier Transformation (FRFT) and phase analysis techniques are proposed to enhance ranging accuracy of an OFDM Radar. A proof-of-concept radar is built and tested at 79 GHz and a range accuracy of 20 m at 5 MHz measurement rate was measured. The range accuracy is 500 times higher than using fast Fourier transformation (FFT) method.

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40

Denk, Robert, and Tobias Nau. "Discrete Fourier multipliers and cylindrical boundary-value problems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 143, no. 6 (2013): 1163–83. http://dx.doi.org/10.1017/s0308210511001454.

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We consider operator-valued boundary-value problems in (0, 2π)n with periodic or, more generally, ν-periodic boundary conditions. Using the concept of discrete vector-valued Fourier multipliers, we give equivalent conditions for the unique solvability of the boundary-value problem. As an application, we study vector-valued parabolic initial boundary-value problems in cylindrical domains (0, 2π)n × V with ν-periodic boundary conditions in the cylindrical directions. We show that, under suitable assumptions on the coefficients, we obtain maximal Lq-regularity for such problems. For symmetric ope

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Schwalbe, Karsten, and Karl Heinz Hoffmann. "Stochastic Novikov Engine with Fourier Heat Transport." Journal of Non-Equilibrium Thermodynamics 44, no. 4 (2019): 417–24. http://dx.doi.org/10.1515/jnet-2019-0063.

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Abstract The Stochastic Novikov engine is an endoreversible model for heat engines where the heat supply takes place at a fluctuating temperature. These fluctuations can be observed for example at solar thermal power plants. While recently the influence of the temperature fluctuations on the engine’s performance has been studied for Newtonian heat transport, the relation between the used heat transport type and the performance measures remained open. Therefore, we here consider a Stochastic Novikov engine with Fourier heat transport. Based on a short summary of the concept of a Stochastic Novi

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Yuan, D. H., S. Z. Yang, X. W. Zheng, and Y. F. Shen. "New Proof for Balian-Low Theorem of Nonlinear Gabor System." Journal of Function Spaces and Applications 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/530172.

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The main purpose of this paper is to give a new proof of the Balian-Low theorem for Gabor system{eimθ(2πt)g(t−n), m,n∈ℤ}, which is proposed by Fu et al. and associated with nonlinear Fourier atoms. To this end, we establish the relationships between spacesL2(ℝ,dθ)andL2(ℝ). We also introduce the concept of frame associated with nonlinear Fourier atoms forL2(ℝ,dθ)and obtain many subsidiary results for this kind of (Gabor) frames.

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Jahangir, Nadim, and Ahsan Raja Chowdhury. "Fourier Masking Encryption Algorithm for Polyalphabetic Symmetric Key Cryptography." DIU Journal of Science & Technology 2, no. 1 (2024): 13–18. https://doi.org/10.5281/zenodo.13675296.

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Cryptography is the art of keepingmessage secret by different methods. In this paper,a new algorithm has been proposed for symmetrickey polyalphabetic data encryption, namelyFourier Masking Encryption Algorithm (FMEA).The concept of Fourier series is exploitedefficiently to generate the random key sequencefrom a given password, as randomness is the keyproperty of polyalphabetic encryption. It has beenshown that the proposed algorithm can providehigh level cryptanalytic complexity for anyunauthorized attempt to decryption. Experimentalresults are also provided here, which shows theefficiency of

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Bhargava, Rohit, and Ira W. Levin. "Time-Resolved Fourier Transform Infrared Spectroscopic Imaging." Applied Spectroscopy 57, no. 4 (2003): 357–66. http://dx.doi.org/10.1366/00037020360625880.

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Fourier transform infrared (FT-IR) imaging allows simultaneous spectral characterization of large spatial areas due to its multichannel detection advantage. The acquisition of large amounts of data in the multichannel configuration results, however, in a poor temporal resolution of sequentially acquired data sets, which limits the examination of dynamic processes to processes that have characteristic time scales of the order of minutes. Here, we introduce the concept and instrumental details of a time-resolved infrared spectroscopic imaging modality that permits the examination of repetitive d

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Silva Neto, V., A. D'Assunção, C. Vasconcelos, and M. R. Lins de Albuquerque. "Wave Concept Iterative Procedure Analysis of Patch Antennas on Nanostructured Ceramic Substrates." Advanced Electromagnetics 2, no. 3 (2014): 1. http://dx.doi.org/10.7716/aem.v2i3.195.

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The wave concept iterative procedure (WCIP) is proposed to analyze rectangular and circular patch antennas on nanostructured ceramic substrates. Principles of WCIP are described and advantages are emphasized. The analysis of microstrip antennas on double layered substrates is performed in space and spectral domains. In addition, Fast Fourier Transformation (FFT) is used to improve the efficiency of the method. WCIP simulated results are compared to HFSS software ones. A good agreement is observed.

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Philipov, Ph, and V. Lazarov. "Investigation of the Indirect Hypercube as Natural Architecture for Parallel Algorithms of a Transpose Type for FFT and Other Fourier-Related Transforms." Information Technologies and Control 11, no. 2 (2014): 29–44. http://dx.doi.org/10.2478/itc-2013-0010.

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Abstract The natural architectures are architectures, derived from the signal graph of the corresponding algorithm. That is why they are considered to be the most appropriate architectures for parallel realization of this algorithm. For Fast Fourier Transform algorithm (FFT) two types of natural architectures are known – the direct and the indirect hypercube. The direct hypercube has been investigated and analyzed a long time ago. The development of the concept of Indirect Hypercube, although quite old, is too difficult, controversal and still unfinished. Fast Hartley transform (FHT)/Real-valu

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Kaur, Rashpinder, Archana Mantri, Prathiba Nagabhushan, and Gurjinder Singh. "Using Concept Inventory for Assessing Conceptual Knowledge in the Signals and Systems Course." Journal of Engineering Education Transformations 37, no. 1 (2023): 41–50. http://dx.doi.org/10.16920/jeet/2023/v37i1/23130.

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Abstract: The engineering schools usually target problem-solving skills in students instead of conceptual development, which is an essential skill for transformation from novice to professional engineer as per the program objective. Improving a student's conceptual knowledge can help students understand a problem better and develop a better solution. Conceptual understanding also assists students in identifying gaps in their problem-solving techniques. This paper attempts to administer a Signal and System Concept Inventory (SSCI) to test the conceptual knowledge of core concepts of signals and

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Hildebrand, Steve. "Local Fourier transform of the Helmholtz wave equation." GEOPHYSICS 52, no. 9 (1987): 1303–5. http://dx.doi.org/10.1190/1.1442391.

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A local Fourier transform of a wave field is an integral transformation from space‐time coordinate space to phase space, i.e., ray parameter, spatial coordinate, and intercept‐ time space. McMechan (1983) introduced the concept of a local slant‐stack/Fourier transform. Using this integral transform, he was able to define a wave field in phase space. By projecting the resulting wave field to the spatial coordinate space, he obtained a representation of the wave field in the ray‐parameter and the spatial‐coordinate plane. In this paper, the local Fourier method is used to transform the Helmholtz

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Mufarij Anna Ziaulhaq and Muhamad Zaki Riyanto. "Protokol Otentikasi Menggunakan Konstruksi Matriks Komutatif Atas Matriks Aljabar Max-Plus." Jurnal Fourier 12, no. 2 (2023): 51–59. http://dx.doi.org/10.14421/fourier.2023.122.51-59.

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Aljabar max-plus adalah himpunan dilengkapi operasi penjumlahan didefinisikan sebagai operasi maksimum dan operasi perkalian didefinisikan sebagai operasi penjumlahan.Konsep aljabar max-plus diperluas untuk membentuk suatu himpunan matriks atas aljabar max-plus.Lebih lanjut himpunan matriks atas aljabar max-plus merupakan struktur semiring non komutatif.Linde dan Puente [1] telah mengkonstruksi suatu matriks yang bersifat komutatif terhadap operasi perkalian pada matriks atas aljabar max-plus, selanjutnyaMuanalifah dan Sergeev[2] menggunakan konstruksi matriks komutatif tersebut untuk diaplika

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Favorov, S. Yu. "Almost periodic distributions and crystalline measures." Matematychni Studii 61, no. 1 (2024): 97–108. http://dx.doi.org/10.30970/ms.61.1.97-108.

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We study temperate distributions and measures with discrete support in Euclidean space and their Fourier transformswith special attention to almost periodic distributions. In particular, we prove that if distances between points of the support of a measure do not quickly approach 0 at infinity, then this measure is a Fourier quasicrystal (Theorem 1). We also introduce a new class of almost periodicity of distributions,close to the previous one, and study its properties.Actually, we introduce the concept of s-almost periodicity of temperate distributions. We establish the conditions for a

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