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1. |
Record Nr. |
UNINA9910760263003321 |
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Autore |
Plonka Gerlind |
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Titolo |
Numerical Fourier Analysis / / by Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
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ISBN |
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Edizione |
[2nd ed. 2023.] |
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Descrizione fisica |
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1 online resource (676 pages) |
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Collana |
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Applied and Numerical Harmonic Analysis, , 2296-5017 |
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Altri autori (Persone) |
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PottsDaniel |
SteidlGabriele |
TascheManfred |
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Disciplina |
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Soggetti |
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Fourier analysis |
Harmonic analysis |
Numerical analysis |
Computer science - Mathematics |
Algebras, Linear |
Fourier Analysis |
Abstract Harmonic Analysis |
Numerical Analysis |
Mathematical Applications in Computer Science |
Linear Algebra |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Chapter. 1. Fourier series -- Chapter. 2. Fourier transform -- Chapter. 3. Discrete Fourier transforms -- Chapter. 4. Multidimensional Fourier methods -- Chapter. 5. Fast Fourier transforms -- Chapter. 6. Chebyshev methods and fast DCT algorithms -- Chapter. 7. Fast Fourier transforms for nonequispaced data -- Chapter. 8. High dimensional FFT -- Chapter. 9. Numerical applications of DFT -- Chapter. 10. Prony method for reconstruction of structured functions -- Appendix A -- Index -- References. |
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Sommario/riassunto |
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New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data |
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analysis require a deep understanding of function approximation using Fourier methods. To address this growing need, this monograph combines mathematical theory and numerical algorithms to offer a unified and self-contained presentation of Fourier analysis. The first four chapters of the text serve as an introduction to classical Fourier analysis in the univariate and multivariate cases, including the discrete Fourier transforms, providing the necessary background for all further chapters. Next, chapters explore the construction and analysis of corresponding fast algorithms in the one- and multidimensional cases. The well-known fast Fourier transforms (FFTs) are discussed, as well as recent results on the construction of the nonequispaced FFTs, high-dimensional FFTs on special lattices, and sparseFFTs. An additional chapter is devoted to discrete trigonometric transforms and Chebyshev expansions. The final two chapters consider various applications of numerical Fourier methods for improved function approximation, including Prony methods for the recovery of structured functions. This new edition has been revised and updated throughout, featuring new material on a new Fourier approach to the ANOVA decomposition of high-dimensional trigonometric polynomials; new research results on the approximation errors of the nonequispaced fast Fourier transform based on special window functions; and the recently developed ESPIRA algorithm for recovery of exponential sums, among others. Numerical Fourier Analysis will be of interest to graduate students and researchers in applied mathematics, physics, computer science, engineering, and other areas where Fourier methods play an important role in applications. |
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2. |
Record Nr. |
UNINA9910370257903321 |
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Titolo |
Ad Hoc Networks : 11th EAI International Conference, ADHOCNETS 2019, Queenstown, New Zealand, November 18–21, 2019, Proceedings / / edited by Jun Zheng, Cheng Li, Peter Han Joo Chong, Weixiao Meng, Feng Yan |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (XI, 334 p. 170 illus., 110 illus. in color.) |
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Collana |
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Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, , 1867-822X ; ; 306 |
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Disciplina |
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Soggetti |
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Computer networks |
Data structures (Computer science) |
Information theory |
Computer simulation |
Artificial intelligence |
Computer Communication Networks |
Data Structures and Information Theory |
Computer Modelling |
Artificial Intelligence |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Analyzing Sensor Network Data: A Case of Graph vs Topological Signal Processing -- The 5G Debate in New Zealand: Government Actions andPublic Perception Routing -- EL-CRP: An Energy and Location Aware ClusteringRouting Protocol in Large Scale Wireless Sensor Networks -- LEERLayer-Based and Energy-Efficient Routing Protocolfor Underwater Sensor Networks.-A Routing Void Handling Protocol based on Autonomous Underwater Vehicle for Underwater Acoustic SensorNetworks.-Optimal Packet Size Analysis for Intra-Flow Network Coding Enabled One Hop Wireless MulticastAccess Control.-MBA-DbMAC: A Random-Access MAC Protocol for MBAs -- Blockchain-aided |
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Access Control for SecureCommunications in Ad Hoc Networks -- Investigating Mobility Robustness in 5G Networks usingUser-Adaptive Handoff Strategies.-The Effect of Propagation Models on IEEE 802.11n over 2.4 GHz and 5 GHz in Noisy Channels: A Simulation Study -- Medium Access Control for Flying Ad Hoc NetworksUsing Directional Antennas: Challenges, Research Status, and Open Issues -- Resource Allocation.-Fair Resource Allocation Based on Deep Reinforcement Learning in Fog Networks -- Multi-agent Reinforcement Learning for Joint Wirelessand Computational Resource Allocation in Mobile Edge Computing System -- Cooperative Transmission with Power Control in theHyper-Cellular Network -- Energy-Efficient Power Allocation for Fading Deviceto-Device Channels in Downlink Resource SharingCommunication.-Delay based Wireless Scheduling and Server Assignment for Fog Computing SystemsLocalization and Tracking.-High precision indoor positioning method based on UWB -- Improvement of a Single Node Indoor Localization System -- An Efficient Approach for Rigid Body Localization viaSingle Base Station Using Direction of Arrive Measurement Design and Mobile Tracking Performance of aRetro-Directive Array (RDA) Antenna System -- Miscellaneous Topics in Ad Hoc Networks (I) -- The Effects of Non-Line of Sight (NLOS) Channels on aHighly Mobile User Device -- Multiobjective collaborative beamforming for a distributed satellite cluster via NSGA-IIAMP inspired Antenna Activity and Signal DetectionAlgorithm for Generalized Spatial Modulated NOMA -- A Filtering Dimension Reduction Decoding Algorithm forUnderwater Acoustic Networks -- Miscellaneous Topics in Ad Hoc Networks (II) -- A Homology Based Coverage Optimization Algorithm forWireless Sensor Networks.-Rail Vehicle Fire Warning System Based on Gas Vapor Sensor Network -- Guessing Intrinsic Forwarding Trustworthiness of WirelessAd Hoc Network Nodes -- Machine Learning Based Smart IoT Gateway on Edge. |
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Sommario/riassunto |
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This book constitutes the refereed proceedings of the 11th International Conference on Ad Hoc Networks, ADHOCNETS 2019, held in Queenstown, New Zealand, in November 2019. The 28 full papers were selected from 64 submissions and cover a variety of network paradigms including mobile ad hoc networks, sensor networks, vehicular networks, underwater networks, airborne networks, underground networks, personal area networks, device-to-device (D2D) communications in 5G cellular networks, and home networks. The papers present a wide range of applications in civilian, commercial, and military areas. |
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