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The mathematics of signal processing / / Steven B. Damelin, Willard Miller, Jr
The mathematics of signal processing / / Steven B. Damelin, Willard Miller, Jr
Autore Damelin Steven B
Edizione [1st ed.]
Pubbl/distr/stampa Cambridge ; ; New York, : Cambridge University Press, 2012
Descrizione fisica 1 online resource (xii, 449 pages) : digital, PDF file(s)
Disciplina 621.38220151
Altri autori (Persone) MillerWillard
Collana Cambridge texts in applied mathematics
Soggetto topico Signal processing - Mathematics
Mathematics
ISBN 1-107-22943-X
1-280-77480-0
1-139-22281-3
9786613685193
1-139-22452-2
1-139-21801-8
1-139-00389-5
1-139-21492-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Introduction -- 1. Normed vector spaces -- 2. Analytic tools -- 3. Fourier series -- 4. The Fourier transform -- 5. Compressive sampling -- 6. Discrete transforms -- 7. Linear filters -- 8. Windowed fourier and continuous wavelet transforms. Frames -- 9. Multiresolution analysis -- 10. Discrete wavelet theory -- 11. Biorthogonal filters and wavelets -- 12. Parsimonious representation of data.
Record Nr. UNINA-9910824612103321
Damelin Steven B  
Cambridge ; ; New York, : Cambridge University Press, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Probability and random processes : with applications to signal processing and communications / / Scott L. Miller, Donald Childers
Probability and random processes : with applications to signal processing and communications / / Scott L. Miller, Donald Childers
Autore Miller Scott L
Edizione [Ed. 2.]
Pubbl/distr/stampa Waltham, Mass., : Elsevier, 2012
Descrizione fisica 1 online resource (625 p.)
Disciplina 621.382/20151
621.38220151
Altri autori (Persone) ChildersDonald G
Soggetto topico Signal processing - Mathematics
Probabilities
Stochastic processes
ISBN 1-283-41027-3
9786613410276
0-12-387013-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Probability and Random Processes: With Applications to Signal Processingand Communications; Copyright; Contents; Preface; Chapter 1: Introduction; 1.1 A Speech Recognition System; 1.2 A Radar System; 1.3 A Communication Network; Chapter 2: Introduction to Probability Theory; 2.1 Experiments, Sample Spaces, and Events; 2.2 Axioms of Probability; 2.3 Assigning Probabilities; 2.4 Joint and Conditional Probabilities; 2.5 Basic Combinatorics; 2.6 Bayes's Theorem; 2.7 Independence; 2.8 Discrete Random Variables; 2.9 Engineering Application-An Optical Communication System; Exercises
Section 2.1: Experiments, Sample Spaces, and EventsSection 2.2: Axioms of Probability; Section 2.3: Assigning Probabilities; Section 2.4: Joint and Conditional Probabilities; Section 2.5: Basic Combinatorics; Section 2.6: Bayes's Theorem; Section 2.7: Independence; Section 2.8: Discrete Random Variables; Miscellaneous Problems; MATLAB Exercises; Chapter 3: Random Variables, Distributions,and Density Functions; 3.1 The Cumulative Distribution Function; 3.2 The Probability Density Function; 3.3 The Gaussian Random Variable; 3.4 Other Important Random Variables; 3.4.1 Uniform Random Variable
3.4.2 Exponential Random Variable3.4.3 Laplace Random Variable; 3.4.4 Gamma Random Variable; 3.4.5 Erlang Random Variable; 3.4.6 Chi-Squared Random Variable; 3.4.7 Rayleigh Random Variable; 3.4.8 Rician Random Variable; 3.4.9 Cauchy Random Variable; 3.5 Conditional Distribution and Density Functions; 3.6 Engineering Application: Reliability and Failure Rates; Exercises; Section 3.1: The Cumulative Distribution Function; Section 3.2: The Probability Density Function; Section 3.3: The Gaussian Random Variable; Section 3.4: Other Important Random Variables
Section 3.5: Conditional Distribution and Density FunctionsSection 3.6: Reliability and Failure Rates; Miscellaneous Exercises; MATLAB Exercises; Chapter 4: Operations on a Single Random Variable; 4.1 Expected Value of a Random Variable; 4.2 Expected Values of Functions of Random Variables; 4.3 Moments; 4.4 Central Moments; 4.5 Conditional Expected Values; 4.6 Transformations of Random Variables; 4.6.1 Monotonically Increasing Functions; 4.6.2 Monotonically Decreasing Functions; 4.6.3 Nonmonotonic Functions; 4.7. Characteristic Functions; 4.8. Probability-Generating Functions
4.9 Moment-Generating Functions4.10 Evaluating Tail Probabilities; 4.11 Engineering Application-Scalar Quantization; 4.12 Engineering Application-Entropy and Source Coding; Exercises; Section 4.1: Expected Values of a Random Variable; Section 4.2: Expected Values of Functions of a Random Variable; Section 4.3: Moments; Section 4.4: Central Moments; Section 4.5: Conditional Expected Values; Section 4.6: Transformations of Random Variables; Section 4.7: Characteristic Functions; Section 4.8: Probability-Generating Functions; Section 4.9: Moment-Generating Functions
Section 4.10: Evaluating Tail Probabilities
Record Nr. UNINA-9910818170603321
Miller Scott L  
Waltham, Mass., : Elsevier, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Probability and random processes [e-book] : with applications to signal processing and communications / Scott L. Miller, Donald Childers
Probability and random processes [e-book] : with applications to signal processing and communications / Scott L. Miller, Donald Childers
Autore Miller, Scott L.
Pubbl/distr/stampa Amsterdam ; Boston : Elsevier Academic Press, c2004
Descrizione fisica xiii, 536 p. : ill. ; 24 cm
Disciplina 621.38220151
Altri autori (Persone) Childers, Donald G.
Soggetto topico Signal processing - Mathematics
Probabilities
Stochastic processes
ISBN 9780121726515
0121726517
Formato Risorse elettroniche
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003279269707536
Miller, Scott L.  
Amsterdam ; Boston : Elsevier Academic Press, c2004
Risorse elettroniche
Lo trovi qui: Univ. del Salento
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Scaling, fractals and wavelets [[electronic resource] /] / edited by Patrice Abry, Paulo Gonçalves, Jacques Levy Vehel
Scaling, fractals and wavelets [[electronic resource] /] / edited by Patrice Abry, Paulo Gonçalves, Jacques Levy Vehel
Pubbl/distr/stampa London, : ISTE
Descrizione fisica 1 online resource (506 p.)
Disciplina 621.382/20151
621.38220151
Altri autori (Persone) AbryPatrice
GonçalvesPaulo <1967->
Lévy VéhelJacques <1960->
Collana ISTE
Soggetto topico Signal processing - Mathematics
Fractals
Wavelets (Mathematics)
ISBN 1-282-16536-4
9786612165368
0-470-61156-1
0-470-39422-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Scaling, Fractals and Wavelets; Table of Contents; Preface; Chapter 1. Fractal and Multifractal Analysis in Signal Processing; 1.1. Introduction; 1.2. Dimensions of sets; 1.2.1. Minkowski-Bouligand dimension; 1.2.2. Packing dimension; 1.2.3. Covering dimension; 1.2.4. Methods for calculating dimensions; 1.3. Hölder exponents; 1.3.1. Hölder exponents related to a measure; 1.3.2. Theorems on set dimensions; 1.3.3. Hölder exponent related to a function; 1.3.4. Signal dimension theorem; 1.3.5. 2-microlocal analysis; 1.3.6. An example: analysis of stock market price; 1.4. Multifractal analysis
1.4.1. What is the purpose of multifractal analysis?1.4.2. First ingredient: local regularity measures; 1.4.3. Second ingredient: the size of point sets of the same regularity; 1.4.4. Practical calculation of spectra; 1.4.5. Refinements: analysis of the sequence of capacities, mutual analysis and multisingularity; 1.4.6. The multifractal spectra of certain simple signals; 1.4.7. Two applications; 1.4.7.1. Image segmentation; 1.4.7.2. Analysis of TCP traffic; 1.5. Bibliography; Chapter 2. Scale Invariance and Wavelets; 2.1. Introduction; 2.2. Models for scale invariance; 2.2.1. Intuition
2.2.2. Self-similarity2.2.3. Long-range dependence; 2.2.4. Local regularity; 2.2.5. Fractional Brownian motion: paradigm of scale invariance; 2.2.6. Beyond the paradigm of scale invariance; 2.3.Wavelet transform; 2.3.1. Continuous wavelet transform; 2.3.2. Discretewavelet transform; 2.4. Wavelet analysis of scale invariant processes; 2.4.1. Self-similarity; 2.4.2. Long-range dependence; 2.4.3. Local regularity; 2.4.4. Beyond second order; 2.5. Implementation: analysis, detection and estimation; 2.5.1. Estimation of the parameters of scale invariance
2.5.2. Emphasis on scaling laws and determination of the scaling range2.5.3. Robustness of the wavelet approach; 2.6. Conclusion; 2.7. Bibliography; Chapter 3. Wavelet Methods for Multifractal Analysis of Functions; 3.1. Introduction; 3.2. General points regarding multifractal functions; 3.2.1. Important definitions; 3.2.2. Wavelets and pointwise regularity; 3.2.3. Local oscillations; 3.2.4. Complements; 3.3. Random multifractal processes; 3.3.1. Lévy processes; 3.3.2. Burgers' equation and Brownian motion; 3.3.3. Random wavelet series; 3.4. Multifractal formalisms
3.4.1. Besov spaces and lacunarity3.4.2. Construction of formalisms; 3.5. Bounds of the spectrum; 3.5.1. Bounds according to the Besov domain; 3.5.2. Bounds deduced from histograms; 3.6. The grand-canonical multifractal formalism; 3.7. Bibliography; Chapter 4. Multifractal Scaling: General Theory and Approach by Wavelets; 4.1. Introduction and summary; 4.2. Singularity exponents; 4.2.1. Hölder continuity; 4.2.2. Scaling of wavelet coefficients; 4.2.3. Other scaling exponents; 4.3. Multifractal analysis; 4.3.1. Dimension based spectra; 4.3.2. Grain based spectra
4.3.3. Partition function and Legendre spectrum
Record Nr. UNINA-9910139468203321
London, : ISTE
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Scaling, fractals and wavelets [[electronic resource] /] / edited by Patrice Abry, Paulo Gonçalves, Jacques Levy Vehel
Scaling, fractals and wavelets [[electronic resource] /] / edited by Patrice Abry, Paulo Gonçalves, Jacques Levy Vehel
Pubbl/distr/stampa London, : ISTE
Descrizione fisica 1 online resource (506 p.)
Disciplina 621.382/20151
621.38220151
Altri autori (Persone) AbryPatrice
GonçalvesPaulo <1967->
Lévy VéhelJacques <1960->
Collana ISTE
Soggetto topico Signal processing - Mathematics
Fractals
Wavelets (Mathematics)
ISBN 1-282-16536-4
9786612165368
0-470-61156-1
0-470-39422-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Scaling, Fractals and Wavelets; Table of Contents; Preface; Chapter 1. Fractal and Multifractal Analysis in Signal Processing; 1.1. Introduction; 1.2. Dimensions of sets; 1.2.1. Minkowski-Bouligand dimension; 1.2.2. Packing dimension; 1.2.3. Covering dimension; 1.2.4. Methods for calculating dimensions; 1.3. Hölder exponents; 1.3.1. Hölder exponents related to a measure; 1.3.2. Theorems on set dimensions; 1.3.3. Hölder exponent related to a function; 1.3.4. Signal dimension theorem; 1.3.5. 2-microlocal analysis; 1.3.6. An example: analysis of stock market price; 1.4. Multifractal analysis
1.4.1. What is the purpose of multifractal analysis?1.4.2. First ingredient: local regularity measures; 1.4.3. Second ingredient: the size of point sets of the same regularity; 1.4.4. Practical calculation of spectra; 1.4.5. Refinements: analysis of the sequence of capacities, mutual analysis and multisingularity; 1.4.6. The multifractal spectra of certain simple signals; 1.4.7. Two applications; 1.4.7.1. Image segmentation; 1.4.7.2. Analysis of TCP traffic; 1.5. Bibliography; Chapter 2. Scale Invariance and Wavelets; 2.1. Introduction; 2.2. Models for scale invariance; 2.2.1. Intuition
2.2.2. Self-similarity2.2.3. Long-range dependence; 2.2.4. Local regularity; 2.2.5. Fractional Brownian motion: paradigm of scale invariance; 2.2.6. Beyond the paradigm of scale invariance; 2.3.Wavelet transform; 2.3.1. Continuous wavelet transform; 2.3.2. Discretewavelet transform; 2.4. Wavelet analysis of scale invariant processes; 2.4.1. Self-similarity; 2.4.2. Long-range dependence; 2.4.3. Local regularity; 2.4.4. Beyond second order; 2.5. Implementation: analysis, detection and estimation; 2.5.1. Estimation of the parameters of scale invariance
2.5.2. Emphasis on scaling laws and determination of the scaling range2.5.3. Robustness of the wavelet approach; 2.6. Conclusion; 2.7. Bibliography; Chapter 3. Wavelet Methods for Multifractal Analysis of Functions; 3.1. Introduction; 3.2. General points regarding multifractal functions; 3.2.1. Important definitions; 3.2.2. Wavelets and pointwise regularity; 3.2.3. Local oscillations; 3.2.4. Complements; 3.3. Random multifractal processes; 3.3.1. Lévy processes; 3.3.2. Burgers' equation and Brownian motion; 3.3.3. Random wavelet series; 3.4. Multifractal formalisms
3.4.1. Besov spaces and lacunarity3.4.2. Construction of formalisms; 3.5. Bounds of the spectrum; 3.5.1. Bounds according to the Besov domain; 3.5.2. Bounds deduced from histograms; 3.6. The grand-canonical multifractal formalism; 3.7. Bibliography; Chapter 4. Multifractal Scaling: General Theory and Approach by Wavelets; 4.1. Introduction and summary; 4.2. Singularity exponents; 4.2.1. Hölder continuity; 4.2.2. Scaling of wavelet coefficients; 4.2.3. Other scaling exponents; 4.3. Multifractal analysis; 4.3.1. Dimension based spectra; 4.3.2. Grain based spectra
4.3.3. Partition function and Legendre spectrum
Record Nr. UNINA-9910829972703321
London, : ISTE
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Signal processing : a mathematical approach / / Charles L. Byrne, University of Massachusetts Lowell, Lowell, Massachusetts, USA
Signal processing : a mathematical approach / / Charles L. Byrne, University of Massachusetts Lowell, Lowell, Massachusetts, USA
Autore Byrne Charles L. <1947, >
Edizione [2nd ed.]
Pubbl/distr/stampa Boca Raton : , : CRC Press, Taylor & Francis Group, , [2015]
Descrizione fisica 1 online resource (436 p.)
Disciplina 621.38220151
Collana Monographs and research notes in mathematics
Soggetto topico Signal processing - Mathematics
Soggetto genere / forma Electronic books.
ISBN 0-429-15871-8
1-4822-4185-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Signal Processing: A Mathematical Approach, Second Edition; MONOGRAPHS AND RESEARCH NOTES IN MATHEMATICS; Dedication; Contents; Preface; Chapter 1 Introduction; Chapter 2 Fourier Series and Fourier Transforms; Chapter 3 Remote Sensing; Chapter 4 Finite-Parameter Models; Chapter 5 Transmission and Remote Sensing; Chapter 6 The Fourier Transform and Convolution Filtering; Chapter 7 Infinite Sequences and Discrete Filters; Chapter 8 Convolution and the Vector DFT; Chapter 9 Plane-Wave Propagation; Chapter 10 The Phase Problem; Chapter 11 Transmission Tomography
Chapter 12 Random SequencesChapter 13 Nonlinear Methods; Chapter 14 Discrete Entropy Maximization; Chapter 15 Analysis and Synthesis; Chapter 16 Wavelets; Chapter 17 The BLUE and the Kalman Filter; Chapter 18 Signal Detection and Estimation; Chapter 19 Inner Products; Chapter 20 Wiener Filtering; Chapter 21 Matrix Theory; Chapter 22 Compressed Sensing; Chapter 23 Probability; Chapter 24 Using the Wave Equation; Chapter 25 Reconstruction in Hilbert Space; Chapter 26 Some Theory of Fourier Analysis; Chapter 27 Reverberation and Echo Cancellation; Bibliography; Back Cover
Record Nr. UNINA-9910342950603321
Byrne Charles L. <1947, >  
Boca Raton : , : CRC Press, Taylor & Francis Group, , [2015]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Signal processing : a mathematical approach / / Charles L. Byrne, University of Massachusetts Lowell, Lowell, Massachusetts, USA
Signal processing : a mathematical approach / / Charles L. Byrne, University of Massachusetts Lowell, Lowell, Massachusetts, USA
Autore Byrne Charles L. <1947, >
Edizione [2nd ed.]
Pubbl/distr/stampa Boca Raton : , : CRC Press, Taylor & Francis Group, , [2015]
Descrizione fisica 1 online resource (436 p.)
Disciplina 621.38220151
Collana Monographs and research notes in mathematics
Soggetto topico Signal processing - Mathematics
ISBN 0-367-65894-1
0-429-15871-8
1-4822-4185-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; Signal Processing: A Mathematical Approach, Second Edition; MONOGRAPHS AND RESEARCH NOTES IN MATHEMATICS; Dedication; Contents; Preface; Chapter 1 Introduction; Chapter 2 Fourier Series and Fourier Transforms; Chapter 3 Remote Sensing; Chapter 4 Finite-Parameter Models; Chapter 5 Transmission and Remote Sensing; Chapter 6 The Fourier Transform and Convolution Filtering; Chapter 7 Infinite Sequences and Discrete Filters; Chapter 8 Convolution and the Vector DFT; Chapter 9 Plane-Wave Propagation; Chapter 10 The Phase Problem; Chapter 11 Transmission Tomography
Chapter 12 Random SequencesChapter 13 Nonlinear Methods; Chapter 14 Discrete Entropy Maximization; Chapter 15 Analysis and Synthesis; Chapter 16 Wavelets; Chapter 17 The BLUE and the Kalman Filter; Chapter 18 Signal Detection and Estimation; Chapter 19 Inner Products; Chapter 20 Wiener Filtering; Chapter 21 Matrix Theory; Chapter 22 Compressed Sensing; Chapter 23 Probability; Chapter 24 Using the Wave Equation; Chapter 25 Reconstruction in Hilbert Space; Chapter 26 Some Theory of Fourier Analysis; Chapter 27 Reverberation and Echo Cancellation; Bibliography; Back Cover
Record Nr. UNINA-9910646001103321
Byrne Charles L. <1947, >  
Boca Raton : , : CRC Press, Taylor & Francis Group, , [2015]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Time-frequency analysis and synthesis of linear signal spaces : time frequency filters, signal detection and estimation, and range-doppler estimation / by Franz Hlawatsch
Time-frequency analysis and synthesis of linear signal spaces : time frequency filters, signal detection and estimation, and range-doppler estimation / by Franz Hlawatsch
Autore Hlawatsch, Franz
Pubbl/distr/stampa Boston [etc, ], : Kluwer Academic, ©1998
Descrizione fisica XI, 213 p. ; 25 cm
Disciplina 621.38201
621.38220151
Collana The Kluwer international series in engineering and computer science
Soggetto topico Segnali elettrici - Elaborazione elettronica - Metodi matematici
Sistemi lineari
Analisi delle serie temporali
ISBN 0792381319
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISANNIO-NAP0481965
Hlawatsch, Franz  
Boston [etc, ], : Kluwer Academic, ©1998
Materiale a stampa
Lo trovi qui: Univ. del Sannio
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