Academic literature on the topic 'Sum of exponentials'

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Journal articles on the topic "Sum of exponentials"

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Ringrose, J. R. "Exponential length and exponential rank in C*-algebras." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 121, no. 1-2 (1992): 55–71. http://dx.doi.org/10.1017/s0308210500014141.

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SynopsisIn an operator algebra, the general element of the connected component of the unitary group can beexpressed as a finite product of exponential unitary elements. The recently introduced concept of exponential rank is defined in terms of the number of exponentials required for this purpose. The present paper is concerned with a concept of exponential length, determined not by the number of exponentials but by the sum of the norms of their self-adjoint logarithms. Knowledge of the exponential length of an algebra provides an upper bound for its exponential rank (but not conversely). This
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Alkheir, A. A., and M. Ibnkahla. "An Accurate Approximation of the Exponential Integral Function Using a Sum of Exponentials." IEEE Communications Letters 17, no. 7 (2013): 1364–67. http://dx.doi.org/10.1109/lcomm.2013.060513.130403.

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Wang, Shiyuan, Yunfei Zheng, Shukai Duan, Lidan Wang, and Chi K. Tse. "A class of improved least sum of exponentials algorithms." Signal Processing 128 (November 2016): 340–49. http://dx.doi.org/10.1016/j.sigpro.2016.05.005.

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Krishnamurthy, A. K. "Glottal source estimation using a sum-of-exponentials model." IEEE Transactions on Signal Processing 40, no. 3 (1992): 682–86. http://dx.doi.org/10.1109/78.120812.

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Krishnamurthy, A. K. "Glottal source estimation using a sum of exponentials model." Journal of the Acoustical Society of America 85, S1 (1989): S149. http://dx.doi.org/10.1121/1.2026801.

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Herman, Ronald A., and Peter Veng-Pedersen. "A note regarding curve fitting with a sum of exponentials." Biopharmaceutics & Drug Disposition 9, no. 6 (1988): 579–86. http://dx.doi.org/10.1002/bod.2510090608.

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Markovsky, I., O. Debals, and L. De Lathauwer. "Sum-of-exponentials modeling and common dynamics estimation using Tensorlab." IFAC-PapersOnLine 50, no. 1 (2017): 14150–55. http://dx.doi.org/10.1016/j.ifacol.2017.08.2077.

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De Groen, P., and B. De Moor. "The fit of a sum of exponentials to noisy data." Journal of Computational and Applied Mathematics 20 (November 1987): 175–87. http://dx.doi.org/10.1016/0377-0427(87)90135-x.

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Menezes, Filipe, Alexander Fedorov, Carlos Baleizão, Bernard Valeur, and Mário N. Berberan-Santos. "Methods for the analysis of complex fluorescence decays: sum of Becquerel functions versus sum of exponentials." Methods and Applications in Fluorescence 1, no. 1 (2013): 015002. http://dx.doi.org/10.1088/2050-6120/1/1/015002.

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Klevanik, A. V. "On the Sum of Exponentials that Form Molecular Fluorescence Decay Kinetics." Biophysics 63, no. 6 (2018): 909–14. http://dx.doi.org/10.1134/s0006350918060167.

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Dissertations / Theses on the topic "Sum of exponentials"

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Wei, Mu-Hsin. "Estimation of the discrete spectrum of relaxations for electromagnetic induction responses." Thesis, Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/39534.

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This thesis presents a robust method for estimating the relaxations of a metallic object from its electromagnetic induction (EMI) response. The EMI response of a metallic object can be accurately modeled by a sum of real decaying exponentials. However, it is diffcult to obtain the model parameters from measurements when the number of exponentials in the sum is unknown or the terms are strongly correlated. Traditionally, the time constants and residues are estimated by nonlinear iterative search that often leads to unsatisfactory results. In this thesis, a constrained linear method of estimatin
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Wullers, Dominik [Verfasser]. "Moving Sum versus Exponentially Weighted Moving Average Tests / Dominik Wullers." Hamburg : Helmut-Schmidt-Universität, Bibliothek, 2015. http://d-nb.info/1073154947/34.

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Müllner, Clemens. "Exponential sum estimates and Fourier analytic methods for digitally based dynamical systems." Thesis, Aix-Marseille, 2017. http://www.theses.fr/2017AIXM0042/document.

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La présente thèse a été fortement influencée par deux conjectures, l'une de Gelfond et l'autre de Sarnak.En 1968, Gelfond a prouvé que la somme des chiffres modulo m est asymtotiquement équirépartie dans des progressions arithmétiques, et il a formulé trois problèmes nouveaux.Le deuxième et le troisième problèmes traitent des sommes des chiffres pour les nombres premiers et les suites polynomiales.En ce qui concerne les nombres premiers et les carrés, Mauduit et Rivat ont résolu ces problèmes en 2010 et 2009, respectivement.Drmota, Mauduit et Rivat ont réussi généraliser le résultat concernant
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Esquincalha, Agnaldo da Conceição. "Estimação de parâmetros de sinais gerados por sistemas lineares invariantes no tempo." Universidade do Estado do Rio de Janeiro, 2009. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=1238.

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Fundação Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro<br>Nesta dissertação é apresentado um estudo sobre a recuperação de sinais modelados por somas ponderadas de exponenciais complexas. Para tal, são introduzidos conceitos elementares em teoria de sinais e sistemas, em particular, os sistemas lineares invariantes no tempo, SLITs, que podem ser representados matematicamente por equações diferenciais, ou equações de diferenças, para sinais analógicos ou digitais, respectivamente. Equações deste tipo apresentam como solução somas ponderadas de exponenciais complexas, e as
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Borenstein, Evan. "Additive stucture, rich lines, and exponential set-expansion." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29664.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2009.<br>Committee Chair: Croot, Ernie; Committee Member: Costello, Kevin; Committee Member: Lyall, Neil; Committee Member: Tetali, Prasad; Committee Member: Yu, XingXing. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Draper, Sandra D. "Evalutaion of certain exponential sums of quadratic functions over a finite fields of odd characteristic." [Tampa, Fla] : University of South Florida, 2006. http://purl.fcla.edu/usf/dc/et/SFE0001674.

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Potts, Daniel, and Manfred Tasche. "Parameter estimation for nonincreasing exponential sums by Prony-like methods." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-86476.

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For noiseless sampled data, we describe the close connections between Prony--like methods, namely the classical Prony method, the matrix pencil method and the ESPRIT method. Further we present a new efficient algorithm of matrix pencil factorization based on QR decomposition of a rectangular Hankel matrix. The algorithms of parameter estimation are also applied to sparse Fourier approximation and nonlinear approximation.
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Ryan, Anne Garrett. "Surveillance of Poisson and Multinomial Processes." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/26549.

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As time passes, change occurs. With this change comes the need for surveillance. One may be a technician on an assembly line and in need of a surveillance technique to monitor the number of defective components produced. On the other hand, one may be an administrator of a hospital in need of surveillance measures to monitor the number of patient falls in the hospital or to monitor surgical outcomes to detect changes in surgical failure rates. A natural choice for on-going surveillance is the control chart; however, the chart must be constructed in a way that accommodates the situation at hand.
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Powell, Kevin James. "Topics in Analytic Number Theory." BYU ScholarsArchive, 2009. https://scholarsarchive.byu.edu/etd/2084.

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The thesis is in two parts. The first part is the paper “The Distribution of k-free integers” that my advisor, Dr. Roger Baker, and I submitted in February 2009. The reader will note that I have inserted additional commentary and explanations which appear in smaller text. Dr. Baker and I improved the asymptotic formula for the number of k-free integers less than x by taking advantage of exponential sum techniques developed since the 1980's. Both of us made substantial contributions to the paper. I discovered the exponent in the error term for the cases k=3,4, and worked the case k=3 completely
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Marchetto, Raquel. "O uso do software GeoGebra no estudo de progressões aritméticas e geométricas, e sua relação com funções afins e exponenciais." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/172105.

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Esta pesquisa teve por objetivo verificar como é que o aluno consegue por si próprio manipular os recursos, tais como gráficos disponibilizados pelo software GeoGebra, para auxiliar nas práticas diárias de sala de aula, mais especificamente no que tange a construir a conexão entre as progressões aritméticas e as funções afins, bem como entre as progressões geométricas e as funções exponenciais. Este software possibilita fazer análises a partir de diferentes registros tais como: gráficos, tabelas e registros algébricos, seguindo a teoria dos registros semióticos de Duval. Como metodologia, dese
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Books on the topic "Sum of exponentials"

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Korobov, N. M. Exponential sums and their applications. Kluwer Academic Publishers, 1992.

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Koni͡agin, S. V. Character sums with exponential functions and their applications. Cambridge University Press, 1999.

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Graham, S. W. Van der Corputʼs method of exponential sums. Cambridge University Press, 1991.

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Exponential sums and differential equations. Princeton University Press, 1990.

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Graham, Sidney W. Van der Corput's method of exponential sums. Cambridge University Press, 1991.

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Graham, Sidney W. Van der Corput's method of exponential sums. Cambridge University Press, 1991.

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Shestopaloff, Yuri K. Sums of exponential functions and their new fundamental properties, with applications to natural phenomena. AKVY Press, 2008.

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Bachman, Gennady. On the coefficients of cyclotomic polynomials. American Mathematical Society, 1993.

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Huxley, M. N. Area, lattice points, and exponential sums. Clarendon Press, 1996.

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S, Wagstaff Samuel, ed. Sums of squares of integers. Chapman & Hall/CRC, 2005.

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Book chapters on the topic "Sum of exponentials"

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Livesey, A. K., J. C. Brochon, and P. Licinio. "Solution of Laplace Transform Equations (Sum of Exponentials) by Maximum Entropy." In Maximum Entropy and Bayesian Methods. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-015-7860-8_17.

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Goldston, D. "An Exponential Sum Over Primes." In Number Theory with an Emphasis on the Markoff Spectrum. CRC Press, 2017. http://dx.doi.org/10.4324/9780203747018-13.

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McLean, William. "Exponential Sum Approximations for t−β." In Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72456-0_40.

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Kumchev, Angel V. "On a Two-Dimensional Exponential Sum." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67996-5_20.

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Korobov, N. M. "Complete Exponential Sums." In Exponential Sums and their Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8032-8_1.

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Shum, Kenneth, P. Vijay Kumar, and Tor Helleseth. "The L-Function of Gold Exponential Sum." In Finite Fields and Applications. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56755-1_32.

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Korobov, N. M. "Weyl’s Sums." In Exponential Sums and their Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8032-8_2.

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Korobov, N. M. "Fractional Parts Distribution, Normal Numbers, and Quadrature Formulas." In Exponential Sums and their Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8032-8_3.

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Garg, Sanjam, Omkant Pandey, Akshayaram Srinivasan, and Mark Zhandry. "Breaking the Sub-Exponential Barrier in Obfustopia." In Lecture Notes in Computer Science. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56617-7_6.

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Beck, József. "Proof of theorem 1: Combining the variance with an exponential sum." In University Lecture Series. American Mathematical Society, 2009. http://dx.doi.org/10.1090/ulect/049/19.

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Conference papers on the topic "Sum of exponentials"

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Zhao, Yuting, Yingsong Li, and Xiaojun Mao. "Sparse-aware least sum of exponentials algorithms for sparse system identification." In 2017 Progress in Electromagnetics Research Symposium - Fall (PIERS - FALL). IEEE, 2017. http://dx.doi.org/10.1109/piers-fall.2017.8293147.

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Markovsky, Ivan, Tianxiang Liu, and Akiko Takeda. "Subspace methods for multi-channel sum-of-exponentials common dynamics estimation." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9029261.

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Gupta, Shuvam, Ikhlaq Hussain, and Bhim Singh. "A solar PV system controlled by least sum of exponentials algorithm." In 2016 IEEE 7th Power India International Conference (PIICON). IEEE, 2016. http://dx.doi.org/10.1109/poweri.2016.8077413.

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Andreev, M. V., and V. F. Borulko. "Method of singular vectors for estimating parameters of sum of complex exponentials." In 2012 International Conference on Mathematical Methods in Electromagnetic Theory (MMET). IEEE, 2012. http://dx.doi.org/10.1109/mmet.2012.6331172.

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Jericevic, Z. "Fitting Sum of Exponentials to Experimental Data: Linearization by Numerical Integration Approximation." In 2019 42nd International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO). IEEE, 2019. http://dx.doi.org/10.23919/mipro.2019.8756902.

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Nico, Giovanni, and J. Fortuny. "Approximation of a complex interferogram by a sum of complex exponentials: an application to phase unwrapping." In Europto Remote Sensing, edited by Francesco Posa and Luciano Guerriero. SPIE, 2000. http://dx.doi.org/10.1117/12.410655.

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Kushwaha, Deepali, Ankur Pandey, and Sudhir Kumar. "Sum of Two Exponentials Based Path Loss Model for Inter-Device Range Estimation using Stochastic Gradient Descent Method." In 2018 IEEE International Conference on Advanced Networks and Telecommunications Systems (ANTS). IEEE, 2018. http://dx.doi.org/10.1109/ants.2018.8710135.

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Singh, R., P. Davies, and A. K. Bajaj. "Nonlinear Modeling and Identification of the Dynamic Behavior of Polyurethane Foam." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21592.

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Abstract The analysis of the steady-state response of a polyurethane foam and mass system to harmonic excitation is given. The foam’s uni-directional dynamic behavior motion is modeled by using nonlinear stiffness, linear viscoelastic and velocity proportional damping components. The relaxation kernel for the viscoelastic model is assumed to be a sum of exponentials. Harmonic balance is used to develop one- and two-term solution approximations that are utilized for system identification. The identification process is based on least-squares minimization of a sub-optimal cost function that uses
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Ippili, Rajani K., Richard D. Widdle, Patricia Davies, and Anil K. Bajaj. "Modeling and Identification of Polyurethane Foam in Uniaxial Compression: Combined Elastic and Viscoelastic Response." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48485.

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Polyurethane foam used in automotive seating applications is a highly nonlinear and viscoelastic material. These properties are manifested even in its quasi-static response. In this paper, two different approaches to model and identify these material properties are presented. In both the approaches the viscoelastic property is assumed linear and modeled by a convolution of the input with a relaxation kernel that is a sum of exponentials (hereditary integral approach). The elastic force contribution is however assumed nonlinear and modeled by a polynomial in one approach, and by a model derived
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Lelis, Levi H. S. "Planning Algorithms for Zero-Sum Games with Exponential Action Spaces: A Unifying Perspective." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/681.

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In this paper we review several planning algorithms developed for zero-sum games with exponential action spaces, i.e., spaces that grow exponentially with the number of game components that can act simultaneously at a given game state. As an example, real-time strategy games have exponential action spaces because the number of actions available grows exponentially with the number of units controlled by the player. We also present a unifying perspective in which several existing algorithms can be described as an instantiation of a variant of NaiveMCTS. In addition to describing several existing
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Reports on the topic "Sum of exponentials"

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Siekhaus, W. J., та W. McLean. Tables of Exponentially Averaged Temperature 'NT0' to Represent Reactions Bexp[-A/(R{T0+T1*sin[month*2π/12]})] with Sinosoidal Temperature Variations of Amplitude T1 around T0 as Bexp[-A/(R'NT0')]. Office of Scientific and Technical Information (OSTI), 2014. http://dx.doi.org/10.2172/1178381.

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