Relevant bibliographies by topics / Signal processing Calculus

Contents

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

Academic literature on the topic 'Signal processing Calculus'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Signal processing Calculus"

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Гладких, Татьяна Валентиновна, Валерий Дмитриевич Дмитриенко, and Сергей Юрьевич Леонов. "Digital devices signal processing system based on K-valued differential calculus." Eastern-European Journal of Enterprise Technologies 2, no. 9(68) (2014): 60. http://dx.doi.org/10.15587/1729-4061.2014.23135.

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Rajabalipanah, Hamid, Ali Abdolali, Shahid Iqbal, Lei Zhang, and Tie Jun Cui. "Analog signal processing through space-time digital metasurfaces." Nanophotonics 10, no. 6 (2021): 1753–64. http://dx.doi.org/10.1515/nanoph-2021-0006.

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Abstract In the quest to realize analog signal processing using subwavelength metasurfaces, in this paper, we present the first demonstration of programmable time-modulated metasurface processors based on the key properties of spatial Fourier transformation. Exploiting space-time coding strategy enables local, independent, and real-time engineering of not only amplitude but also phase profile of the contributing reflective digital meta-atoms at both central and harmonic frequencies. Several illustrative examples are demonstrated to show that the proposed multifunctional calculus metasurface is
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FERDI, YOUCEF. "SOME APPLICATIONS OF FRACTIONAL ORDER CALCULUS TO DESIGN DIGITAL FILTERS FOR BIOMEDICAL SIGNAL PROCESSING." Journal of Mechanics in Medicine and Biology 12, no. 02 (2012): 1240008. http://dx.doi.org/10.1142/s0219519412400088.

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The goal of this paper is to describe some applications of fractional order calculus to biomedical signal processing with emphasis on the ability of this mathematical tool to remove noise, enhance useful information, and generate fractal signals. Three types of digital filters are considered, namely, lowpass differentiation filter, smoothing filter, and 1/fβ-noise generation filter. The filter impulse responses are functions of the fractional order and the sampling period only, and thus can be computed easily. Application examples are presented for illustrations.
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Lima, Miguel F. M., J. A. Tenreiro Machado, and Manuel Crisóstomo. "Experimental Signal Analysis of Robot Impacts in a Fractional Calculus Perspective." Journal of Advanced Computational Intelligence and Intelligent Informatics 11, no. 9 (2007): 1079–85. http://dx.doi.org/10.20965/jaciii.2007.p1079.

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This paper presents a study of the signals captured during impacts and vibrations of a mechanical manipulator. In order to acquire and study the signals an experimental setup is implemented. The system acquires data from the sensors, in real time, and processes it through an off-line analysis package. The study is developed based on a set of signal processing tools, such as the Fast Fourier Transform and the windowed Fourier transform. The signals whose Fourier spectrum presents a non integer behavior are pointed out and analyzed using several time windows. The experimental results provide use
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Chen, Zhi-Yong, Carlo Cattani, and Wei-Ping Zhong. "Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach." Advances in Mathematical Physics 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/561434.

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From the signal processing point of view, the nondifferentiable data defined on the Cantor sets are investigated in this paper. The local fractional Fourier series is used to process the signals, which are the local fractional continuous functions. Our results can be observed as significant extensions of the previously known results for the Fourier series in the framework of the local fractional calculus. Some examples are given to illustrate the efficiency and implementation of the present method.
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Liu, Kai, Ren-Jie Hu, Carlo Cattani, Gong-Nan Xie, Xiao-Jun Yang, and Yang Zhao. "Local FractionalZ-Transforms with Applications to Signals on Cantor Sets." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/638648.

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TheZ-transform has played an important role in signal processing. In this paper theZ-transform has been generalized by the coupling of both theZ-transform and the local fractional complex calculus. In the literature the local fractionalZ-transform is applied to analyze signals, in the following it will be used to analyze signals on Cantor sets. Some examples are also given to show the efficiency and accuracy for handling the signals on Cantor sets.
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Xu, Dongpo, Hua Gao, and Danilo P. Mandic. "A new proof of the generalized Hamiltonian–Real calculus." Royal Society Open Science 3, no. 9 (2016): 160211. http://dx.doi.org/10.1098/rsos.160211.

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The recently introduced generalized Hamiltonian–Real (GHR) calculus comprises, for the first time, the product and chain rules that makes it a powerful tool for quaternion-based optimization and adaptive signal processing. In this paper, we introduce novel dual relationships between the GHR calculus and multivariate real calculus, in order to provide a new, simpler proof of the GHR derivative rules. This further reinforces the theoretical foundation of the GHR calculus and provides a convenient methodology for generic extensions of real- and complex-valued learning algorithms to the quaternion
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He, Jing Bo, and Sheng Liang Hu. "The Stochastic Resonance of Noise Frequency Modulation Signal Using Motion-Group Fourier Transform." Applied Mechanics and Materials 713-715 (January 2015): 1452–55. http://dx.doi.org/10.4028/www.scientific.net/amm.713-715.1452.

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In this paper stochastic resonance was studied in radar driven by noise frequency modulation signal. According to the intrinsic relations between the stochastic differential and the radar jamming signal processing, the stochastic calculus was used in the radar jamming signal processing in this paper. The noise frequency modulation signal was particularly analyzed. The Fokker-Planck equation of noise frequency modulation was presented and the Motion-Group Fourier Transform was used by converting the partial differential equation into the variable coefficient homogenous linear differential equat
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Xu, Dongpo, Cyrus Jahanchahi, Clive C. Took, and Danilo P. Mandic. "Enabling quaternion derivatives: the generalized HR calculus." Royal Society Open Science 2, no. 8 (2015): 150255. http://dx.doi.org/10.1098/rsos.150255.

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Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; however, in many applications, functions of interest are real-valued and hence not analytic, a typical case being the standard real mean square error objective function. The recent HR calculus is a step forward and provides a way to calculate derivatives and gradients of both analytic and non-analytic functions of quaternion variables; however, the HR calculus can become cumbersome in complex optimization problems due to the lack of rigorous product and chain rules, a consequence of the non-commutati
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Ozyapici, Ali, and Bülent Bilgehan. "Finite product representation via multiplicative calculus and its applications to exponential signal processing." Numerical Algorithms 71, no. 2 (2015): 475–89. http://dx.doi.org/10.1007/s11075-015-0004-8.

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Dissertations / Theses on the topic "Signal processing Calculus"

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Sorensen, Mikael. "Tensor tools with application in signal processing." Nice, 2010. http://www.theses.fr/2010NICE4030.

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Several problems in signal processing can be put in a tensorial framework. In many cases, these problems lead to compute structured tensor decompositions. The main purpose of this thesis is the development of computational methods for structured tensor decomposition problems with application in signal processing. First, we propose methods for the computation of the CANDECOMP/PARAFAC (CP) decomposition with a semi-unitary matrix factor. Moreover, we develop methods to solve CP structured independent component analysis problems by addressing them as semi-unitary constrained CP decompositions pro
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Marmin, Arthur. "Rational models optimized exactly for solving signal processing problems." Electronic Thesis or Diss., université Paris-Saclay, 2020. http://www.theses.fr/2020UPASG017.

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Une vaste classe de problèmes d'optimisation non convexes est celle de l'optimisation rationnelle. Cette dernière apparaît naturellement dans de nombreux domaines tels que le traitement du signal ou le génie des procédés. Toutefois, trouver les optima globaux pour ces problèmes est difficile. Une approche récente, appelée la hiérarchie de Lasserre, fournit néanmoins une suite de problèmes convexes assurée de converger vers le minimum global. Cependant, cette approche représente un défi calculatoire du fait de la très grande dimension de ses relaxations. Dans cette thèse, nous abordons ce défi
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Parashar, Karthick Nagarat. "System-level approaches for fixed-point refinement of signal processing algorithms." Rennes 1, 2012. http://www.theses.fr/2012REN1E015.

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Le problème de l'optimisation des systèmes utilisant l'arithmétique virgule fixe est un problème d'optimisation combinatoire de complexité NP-difficile. Savoir analyser et optimiser des applications complexes et de taille réelle est le thème central de cette thèse. Une technique de type diviser-pour-régner, où un système donné est décomposé en plusieurs petits sous-systèmes organisés selon une hiérarchie est au cœur de cette approche. Cette décomposition ouvre la voie à l'évaluation rapide de la précision et au problème d'optimisation hiérarchique de la largeur des données et des opérations du
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Desnos, Karol. "Memory Study and Dataflow Representations for Rapid Prototyping of Signal Processing Applications on MPSoCs." Thesis, Rennes, INSA, 2014. http://www.theses.fr/2014ISAR0004/document.

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Le développement d’applications de traitement du signal pour des architectures multi-coeurs embarquées est une tâche complexe qui nécessite la prise en compte de nombreuses contraintes. Parmi ces contraintes figurent les contraintes temps réel, les limitations énergétiques, ou encore la quantité limitée des ressources matérielles disponibles. Pour satisfaire ces contraintes, une connaissance précise des caractéristiques des applications à implémenter est nécessaire. La caractérisation des besoins en mémoire d’une application est primordiale car cette propriété a un impact important sur la qual
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Winkler, Christophe. "Expérimentation d'algorithmes de calcul de radiosité à base d'ondelettes." Vandoeuvre-les-Nancy, INPL, 1998. http://www.theses.fr/1998INPL071N.

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La synthèse d'images, par modélisation physique des phénomènes lumineux, est un domaine de recherche très actif depuis un certain nombre d'années. De nombreuses solutions algorithmiques ont été proposées pour parvenir à résoudre l'équation de radiance. Néanmoins, peu de tests ont été effectués pour comparer l'efficacité des différentes approches. Le but de ce mémoire est de comparer certaines solutions parmi les plus efficaces, notamment les approches hiérarchiques à base d'ondelettes, qui permettent de résoudre le problème de l'illumination globale. Dans un premier temps, nous effectuons une
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Hog, Matthieu. "Light field editing and rendering." Thesis, Rennes 1, 2018. http://www.theses.fr/2018REN1S064/document.

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En imageant une scène à partir de différents points de vue, un champ de lumière permet de capturer de nombreuses informations sur la géométrie de la scène. Grâce aux récents progrès de ses dispositifs d’acquisition, l’imagerie par champs de lumière est devenue une alternative sérieuse à la capture de contenu 3D et à d’autres problèmes connexes. Le but de cette thèse est double. L'une des principales applications de l'imagerie par champs de lumière est sa capacité à produire de nouvelles vues à partir d'une capture unique. Dans une première partie, nous proposons de nouvelles techniques de rend
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Bhat, Srikrishna. "Mots visuels pour le calcul de pose." Phd thesis, Université de Lorraine, 2013. http://tel.archives-ouvertes.fr/tel-00794630.

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Nous abordons le problème de la mise en correspondance de points dans des images pour calculer la pose d'une caméra par l'algorithme Perspective-n-Point (PnP). Nous calculons la carte 3D, c'est-à-dire les coordonnées 3D et les caractéristiques visuelles de quelques points dans l'environnement grâce à une procédure d'apprentissage hors ligne utilisant un ensemble d'images d'apprentissage. Étant donné une nouvelle image nous utilisons PnP à partir des coordonnées 2D dans l'image de points 3D détectés à l'aide de la carte 3D. Pendant la phase d'apprentissage nous groupons les descripteurs SIFT ex
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Baussé, Jérôme. "Recalage et planification du traitement en radiothérapie et protonthérapie." Phd thesis, Télécom ParisTech, 2010. http://pastel.archives-ouvertes.fr/pastel-00566712.

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Dans le cadre d'un important et ambitieux projet de renouvellement de son centre, l'ICPO (Institut Curie - Centre de Protonthérapie d'Orsay) renouvelle ses logiciels dédiés au traitement des patients par protonthérapie, technique de radiothérapie utilisant des faisceaux de protons. Les hautes énergies utilisées durant les traitements, ainsi que la précision offerte par les caractéristiques des particules de proton, nécessitent une mise en place du patient plus précise qu'en radiothérapie classique. Le sujet de cette thèse est né de ces problématiques, puisqu'il vise à utiliser les informations
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Nguyen, Hai-Nam. "Optimisation de la précision de calcul pour la réduction d'énergie des systèmes embarqués." Phd thesis, Université Rennes 1, 2011. http://tel.archives-ouvertes.fr/tel-00705141.

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Cette thèse s'inscrit dans le contexte de la forte augmentation du débit et de la puissance de calcul des systèmes de télécommunications. Cette augmentation entraîne une consommation d'énergie importante et réduit la durée de batterie, ce qui est primordiale pour un système embarqué. Nous proposons des mécanismes permettant de réduire la consommation d'énergie dans un système embarqué, plus particulièrement dans un terminal mobile sans fil. L'implantation efficace des algorithmes de traitement numérique du signal dans les systèmes embarqués requiert l'utilisation de l'arithmétique virgule fixe
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Elwardi, Ben Amor Sonia. "Architectures optiques / optoélectroniques haute densité dédiées au calcul et aux traitement des signaux." Thesis, Evry, Institut national des télécommunications, 2015. http://www.theses.fr/2015TELE0001/document.

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Les travaux développés dans ce manuscrit de thèse concernent la proposition et la mise au point d’une nouvelle architecture optique basée sur la modulation de cohérence (MC) d’une source à spectre large dédiée aux calculs arithmétiques et au traitement des signaux. La modulation de cohérence de lumière est une technique particulière de codage optique qui autorise, entre autres, le multiplexage des signaux à travers une seule porteuse. Les signaux à traiter sont codés en MC par le biais de paires modulateur de lumière/lame de phase placées en série et éclairées par un seul faisceau de lumière p
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Books on the topic "Signal processing Calculus"

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Mitkowski, Wojciech. Advances in the Theory and Applications of Non-integer Order Systems: 5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland. Springer International Publishing, 2013.

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Jiao, Zhuang. Distributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives. Springer London, 2012.

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1973-, La Cour-Harbo A., ed. Ripples in mathematics: The discrete wavelet transform. Springer, 2001.

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Casimer, DeCusatis, and Das Pankaj K. 1937-, eds. Wavelets and subbands: Fundamentals and applications : with 234 figures. Birkhaüser, 2002.

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Jørgensen, Palle E. T., 1947-, ed. Wavelets through a looking glass: The world of the spectrum. Birkhäuser, 2002.

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Mass.) AMS Special Session on Radon Transforms and Geometric Analysis (2012 Boston. Geometric analysis and integral geometry: AMS special session in honor of Sigurdur Helgason's 85th birthday, radon transforms and geometric analysis, January 4-7, 2012, Boston, MA ; Tufts University Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces, January 8-9, 2012, Medford, MA. Edited by Quinto, Eric Todd, 1951- editor of compilation, Gonzalez, Fulton, 1956- editor of compilation, Christensen, Jens Gerlach, 1975- editor of compilation, and Tufts University. Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces. American Mathematical Society, 2013.

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Fractional Processes And Fractionalorder Signal Processing Techniques And Applications. Springer, 2011.

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Little, Max A. Machine Learning for Signal Processing. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198714934.001.0001.

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Digital signal processing (DSP) is one of the ‘foundational’ engineering topics of the modern world, without which technologies such the mobile phone, television, CD and MP3 players, WiFi and radar, would not be possible. A relative newcomer by comparison, statistical machine learning is the theoretical backbone of exciting technologies such as automatic techniques for car registration plate recognition, speech recognition, stock market prediction, defect detection on assembly lines, robot guidance and autonomous car navigation. Statistical machine learning exploits the analogy between intelli
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Savischenko, Nikolay V. Special Integral Functions Used in Wireless Communications Theory. World Scientific Publishing Co Pte Ltd, 2014.

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Kacprzyk, Janusz, Wojciech Mitkowski, and Jerzy Baranowski. Advances in the Theory and Applications of Non-integer Order Systems: 5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland. Springer, 2013.

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Book chapters on the topic "Signal processing Calculus"

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Gil’mutdinov, Anis Kharisovich, Pyotr Arkhipovich Ushakov, and Reyad El-Khazali. "Fractal Calculus Fundamentals." In Analog Circuits and Signal Processing. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-45249-4_2.

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Blanchet, Gérard, and Maurice Charbit. "Numerical Calculus and Simulation." In Digital Signal and Image Processing Using Matlab®. John Wiley & Sons, Inc., 2015. http://dx.doi.org/10.1002/9781118999592.ch4.

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Yger, Alain. "Algebraic Residue Calculus Beyond the Complex Setting." In Linear Systems, Signal Processing and Hypercomplex Analysis. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18484-1_10.

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Xiang, Yu, Xiang Zhang, Zhenwei Li, and Wei Wang. "Research on Time Triggered Ethernet Based on Deterministic Network Calculus." In The Proceedings of the Second International Conference on Communications, Signal Processing, and Systems. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00536-2_131.

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"Calculus." In Handbook of Formulas and Tables for Signal Processing. CRC Press, 2018. http://dx.doi.org/10.1201/9781315219707-45.

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"Fundamentals of Engineering Calculus and Other Math Tools." In Digital Signal Processing Demystified. Elsevier, 1997. http://dx.doi.org/10.1016/b978-187870716-1/50016-0.

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Pires, Robson. "Solution Methods of Large Complex-Valued Nonlinear System of Equations." In Advances in Complex Analysis and Applications. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.92741.

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Nonlinear systems of equations in complex plane are frequently encountered in applied mathematics, e.g., power systems, signal processing, control theory, neural networks, and biomedicine, to name a few. The solution of these problems often requires a first- or second-order approximation of nonlinear functions to generate a new step or descent direction to meet the solution iteratively. However, such methods cannot be applied to functions of complex and complex conjugate variables because they are necessarily nonanalytic. To overcome this problem, the Wirtinger calculus allows an expansion of nonlinear functions in its original complex and complex conjugate variables once they are analytic in their argument as a whole. Thus, the goal is to apply this methodology for solving nonlinear systems of equations emerged from applications in the industry. For instances, the complex-valued Jacobian matrix emerged from the power flow analysis model which is solved by Newton-Raphson method can be exactly determined. Similarly, overdetermined Jacobian matrices can be dealt, e.g., through the Gauss-Newton method in complex plane aimed to solve power system state estimation problems. Finally, the factorization method of the aforementioned Jacobian matrices is addressed through the fast Givens transformation algorithm which means the square root-free Givens rotations method in complex plane.
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Conference papers on the topic "Signal processing Calculus"

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Muscedere, Roberto, Graham A. Jullien, Vassil S. Dimitrov, and W. C. Miller. "Nonlinear signal processing using index calculus DBNS arithmetic." In International Symposium on Optical Science and Technology, edited by Franklin T. Luk. SPIE, 2000. http://dx.doi.org/10.1117/12.406502.

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Qin, Yang, Daojun Xue, Yuming Jiang, and Xiang He. "Network calculus and its application in streaming media transmission." In Signal Processing (ICICS). IEEE, 2009. http://dx.doi.org/10.1109/icics.2009.5397599.

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Gonzalez, Emmanuel A., and Ivo Petras. "Advances in fractional calculus: Control and signal processing applications." In 2015 16th International Carpathian Control Conference (ICCC). IEEE, 2015. http://dx.doi.org/10.1109/carpathiancc.2015.7145064.

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Wang, Zheng, and Xianmin Ma. "Application of fractional-order calculus approach to signal processing." In 2011 6th IEEE Joint International Information Technology and Artificial Intelligence Conference (ITAIC). IEEE, 2011. http://dx.doi.org/10.1109/itaic.2011.6030190.

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Ferdi, Youcef. "Fractional order calculus-based filters for biomedical signal processing." In 2011 1st Middle East Conference on Biomedical Engineering (MECBME). IEEE, 2011. http://dx.doi.org/10.1109/mecbme.2011.5752068.

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"Applied fractional calculus in controls and signal processing (M-1)." In 2009 American Control Conference. IEEE, 2009. http://dx.doi.org/10.1109/acc.2009.5159776.

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Gautier, S., and L. Chaˆtellier. "Taking Advantage of Signal Processing for Lifetime Management." In ASME 2002 Pressure Vessels and Piping Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/pvp2002-1378.

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So as to detect and characterize potential defects in pipes, inspections are carried out. Should a defect be detected, one can be asked to prove the component still stands the mechanical constraints. Then, it is essential to characterize the defect, especially when the demonstration relies on mechanical calculus: the better the characterization, the better the mechanical assessment. Still, the characterization of the defect from the sole data is sometimes very difficult and the justification process can thus be dramatically jeopardized. In such cases, signal processing can be very helpful for
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Pu, Yifei. "Fractional Calculus Approach to Texture of Digital Image." In 2006 8th international Conference on Signal Processing. IEEE, 2006. http://dx.doi.org/10.1109/icosp.2006.345713.

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Assaleh, Khaled, and Wajdi M. Ahmad. "Modeling of speech signals using fractional calculus." In 2007 9th International Symposium on Signal Processing and Its Applications (ISSPA). IEEE, 2007. http://dx.doi.org/10.1109/isspa.2007.4555563.

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Xie, Ruiyun, Benzhai Hai, Zuhua Guo, and Mingzhu Shao. "The applicaiton of calculus on runtime verification." In 2010 2nd International Conference on Signal Processing Systems (ICSPS). IEEE, 2010. http://dx.doi.org/10.1109/icsps.2010.5555288.

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