Continued Fractions And Signal Processing

Author : Tomas Sauer
Publisher : Springer Nature
ISBN 13 : 3030843602
Total Pages : 275 pages
Book Rating : 4.01/5 ( download)

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Download or read book Continued Fractions and Signal Processing written by Tomas Sauer and published by Springer Nature. This book was released on 2021-09-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides their well-known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer science. The goal of the book is to revisit the almost forgotten classical theory and to contextualize it for contemporary numerical applications and signal processing, thus enabling students and scientist to apply classical mathematics on recent problems. The books tries to be mostly self-contained and to make the material accessible for all interested readers. This provides a new view from an applied perspective, combining the classical recursive techniques of continued fractions with orthogonal problems, moment problems, Prony’s problem of sparse recovery and the design of stable rational filters, which are all connected by continued fractions.

Author : Dzevad Belkic
Publisher : CRC Press
ISBN 13 : 1000687341
Total Pages : 333 pages
Book Rating : 4.47/5 ( download)

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Download or read book Signal Processing in Magnetic Resonance Spectroscopy with Biomedical Applications written by Dzevad Belkic and published by CRC Press. This book was released on 2010-01-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses the FPT to Solve the Quantification Problem in MRSAn invaluable tool in non-invasive clinical oncology diagnosticsAddressing the critical need in clinical oncology for robust and stable signal processing in magnetic resonance spectroscopy (MRS), Signal Processing in Magnetic Resonance Spectroscopy with Biomedical Applications explores cutting-

Author : Le Nguyen Binh
Publisher : CRC Press
ISBN 13 : 042979262X
Total Pages : 537 pages
Book Rating : 4.25/5 ( download)

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Download or read book Photonic Signal Processing, Second Edition written by Le Nguyen Binh and published by CRC Press. This book was released on 2019-01-15 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Second Edition of "Photonic Signal Processing" updates most recent R&D on processing techniques of signals in photonic domain from the fundamentals given in its first edition. Several modern techniques in Photonic Signal Processing (PSP) are described: Graphical signal flow technique to simplify the analysis of the photonic transfer functions, plus its insights into the physical phenomena of such processors. The resonance and interference of optical fields are presented by the poles and zeros of the optical circuits, respectively. Detailed design procedures for fixed and tunable optical filters. These filters, "brick-wall-like", now play a highly important role in ultra-broadband (100GBaud) to spectral shaping of sinc temporal response so as to generate truly Nyquist sampler of the received eye diagrams 3-D PSP allows multi-dimensional processing for highly complex optical signals Photonic differentiators and integrators for dark soliton generations. Optical dispersion compensating processors for ultra-long haul optical transmission systems. Some optical devices essentials for PSP. Many detailed PSP techniques are given in the chapters of this Second Edition.

Author : Claude Brezinski
Publisher : North Holland
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.85/5 ( download)

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Download or read book Continued Fractions and Padé Approximants written by Claude Brezinski and published by North Holland. This book was released on 1990 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Padeacute; approximants and continued fractions are typical examples of old areas of mathematics (continued fractions can be traced back to Euclid's g.c.d. algorithm more than 2000 years ago) which are again very much alive. This is due to their numerous applications in number theory, cryptography, statistics, numerical analysis, special functions, digital filtering, signal processing, fractals, fluid mechanics, theoretical physics, chemistry, engineering etc. This renewal of interest is also due to their intimate connection with other important topics such as orthogonal polynomials (another old subject now again in full vitality), rational approximation, Gaussian quadratures, extrapolation and convergence acceleration methods, differential equations etc.

Author : S. Clement Cooper
Publisher : CRC Press
ISBN 13 : 1000154149
Total Pages : 402 pages
Book Rating : 4.46/5 ( download)

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Download or read book Continued Fractions and Orthogonal Functions written by S. Clement Cooper and published by CRC Press. This book was released on 2020-12-17 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses sequences of linear fractional transformations; presents convergence results, including truncation error bounds; considers discrete distributions and limit functions arising from indeterminate moment problems; discusses Szego polynomials and their applications to frequency analysis; describes the quadrature formula arising from q-starlike functions; and covers continued fractional representations for functions related to the gamma function.;This resource is intended for mathematical and numerical analysts; applied mathematicians; physicists; chemists; engineers; and upper-level undergraduate and agraduate students in these disciplines.

Author : Dzevad Belkic
Publisher : CRC Press
ISBN 13 : 9781420033601
Total Pages : 486 pages
Book Rating : 4.03/5 ( download)

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Download or read book Quantum-Mechanical Signal Processing and Spectral Analysis written by Dzevad Belkic and published by CRC Press. This book was released on 2019-08-22 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum-Mechanical Signal Processing and Spectral Analysis describes the novel application of quantum mechanical methods to signal processing across a range of interdisciplinary research fields. Conventionally, signal processing is viewed as an engineering discipline with its own specific scope, methods, concerns and priorities, not usually encompassing quantum mechanics. However, the dynamics of systems that generate time signals can be successfully described by the general principles and methods of quantum physics, especially within the Schroedinger framework. Most time signals that are measured experimentally are mathematically equivalent to quantum-mechanical auto-correlation functions built from the evolution operator and wavefunctions. This fact allows us to apply the rich conceptual strategies and mathematical apparatus of quantum mechanics to signal processing. Among the leading quantum-mechanical signal processing methods, this book emphasizes the role of Pade approximant and the Lanczos algorithm, highlighting the major benefits of their combination. These two methods are carefully incorporated within a unified framework of scattering and spectroscopy, developing an algorithmic power that can be exported to other disciplines. The novelty of the author's approach to key signal processing problems, the harmonic inversion and the moment problem, is in establishing the Pade approximant and Lanczos algorithm as entirely algerbraic spectral estimators. This is of paramount theoretical and practical importance, as now spectral analysis can be carried out from closed analytical expressions. This overrides the notorious mathematical ill-conditioning problems with round-off errors that plague inverse reconstructions in those fields that rely upon signal processing. Quantum-Mechanical Signal Processing and Spectral Analysis will be an invaluable resource for researchers involved in signal processing across a wide range of disciplines.

Author : W. B. Jones
Publisher : Springer
ISBN 13 : 3540392769
Total Pages : 250 pages
Book Rating : 4.67/5 ( download)

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Download or read book Analytic Theory of Continued Fractions written by W. B. Jones and published by Springer. This book was released on 2006-11-17 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Saptarshi Das
Publisher : Springer Science & Business Media
ISBN 13 : 3642231179
Total Pages : 110 pages
Book Rating : 4.79/5 ( download)

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Download or read book Fractional Order Signal Processing written by Saptarshi Das and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional Order Signal processing (FOSP). The readers should have preliminary knowledge about basic signal processing techniques. Prerequisite knowledge of fractional calculus is not essential and is exposited at relevant places in connection to the appropriate signal processing topics. Basic signal processing techniques like filtering, estimation, system identification, etc. in the light of fractional order calculus are presented along with relevant application areas. The readers can easily extend these concepts to varied disciplines like image or speech processing, pattern recognition, time series forecasting, financial data analysis and modeling, traffic modeling in communication channels, optics, biomedical signal processing, electrochemical applications and many more. Adequate references are provided in each category so that the researchers can delve deeper into each area and broaden their horizon of understanding. Available MATLAB tools to simulate FOSP theories are also introduced so that the readers can apply the theoretical concepts right-away and gain practical insight in the specific domain.

Author : S. Clement Cooper
Publisher : CRC Press
ISBN 13 : 1000111059
Total Pages : 400 pages
Book Rating : 4.57/5 ( download)

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Download or read book Continued Fractions and Orthogonal Functions written by S. Clement Cooper and published by CRC Press. This book was released on 2020-12-17 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses sequences of linear fractional transformations; presents convergence results, including truncation error bounds; considers discrete distributions and limit functions arising from indeterminate moment problems; discusses Szego polynomials and their applications to frequency analysis; describes the quadrature formula arising from q-starlike functions; and covers continued fractional representations for functions related to the gamma function.;This resource is intended for mathematical and numerical analysts; applied mathematicians; physicists; chemists; engineers; and upper-level undergraduate and agraduate students in these disciplines.

Author : Mourad Ismail
Publisher : American Mathematical Soc.
ISBN 13 : 0821803840
Total Pages : 354 pages
Book Rating : 4.44/5 ( download)

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Download or read book Mathematical Analysis, Wavelets, and Signal Processing written by Mourad Ismail and published by American Mathematical Soc.. This book was released on 1995 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of an international conference held in Cairo, Egypt (January 1994). Mathematics and engineering discoveries, such as wavelets, multiresolution analysis, and subband coding schemes, caused rapid advancements in signal processing, necessitating an interdisciplinary approach. Contributors to this conference demonstrated that some traditional areas of mathematical analysis - sampling theory, approximation theory, and orthogonal polynomials - have proven extremely useful in solving various signal processing problems.