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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Elektrizität, Magnetismus, Optik Fractal Functions, Dimensions and Signal Analysis
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Fractal Functions, Dimensions and Signal Analysis
Santo Banerjee, D. Easwaramoorthy, A. Gowrisankar (Broschiert, Englisch)
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Beschreibung
This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by… providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
16.12.2021
Sprache
Englisch
EAN
9783030626747
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Understanding Complex Systems
Sonderedition
Nein
Autor
Santo Banerjee, D. Easwaramoorthy, A. Gowrisankar
Seitenanzahl
132
Einbandart
Broschiert
Schlagwörter
Euclidean Geometry, Fractal Interpolation Function, Approximation Theory, Fractals in Metric Space, Wavelet-Based Denoising Method, Electroencephalogram, EEG Signals, complexity
Thema-Inhalt
PHJ - Optische Physik
TBJ - Mathematik für Ingenieure
GPFC - Kybernetik und Systemtheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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