Signal Processing by Charles L Byrne
Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics—including familiarity with Fourier series, matrices, probability, and statistics—this Second Edition:
- Contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters
- Expands the material on Fourier analysis to three new chapters to provide additional background information
- Presents real-world examples of applications that demonstrate how mathematics is used in remote sensing
Featuring problems for use in the classroom or practice, Signal Processing: A Mathematical Approach, Second Edition covers topics such as Fourier series and transforms in one and several variables; applications to acoustic and electro-magnetic propagation models, transmission and emission tomography, and image reconstruction; sampling and the limited data problem; matrix methods, singular value decomposition, and data compression; optimization techniques in signal and image reconstruction from projections; autocorrelations and power spectra; high-resolution methods; detection and optimal filtering; and eigenvector-based methods for array processing and statistical filtering, time-frequency analysis, and wavelets.
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Spectral Geometry of Partial Differential Operators
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Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties
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Nonlinear Reaction-Diffusion-Convection Equations
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Symmetry and Quantum Mechanics
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Extending Structures
- Abstract Calculus
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Inequalities and Integral Operators in Function Spaces
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Finite Element Methods for Eigenvalue Problems
- Computation with Linear Algebraic Groups
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Abstract Cauchy Problems
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Monomial Algebras
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Introduction to the Potential Theory for the Time-Dependent Stokes System
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Differential Modules over Differential Rings
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Set Theoretical Aspects of Real Analysis
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Elastic Waves
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Lineability
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Spectral Methods Using Multivariate Polynomials On The Unit Ball
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Partial Differential Equations with Variable Exponents
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Localized Dynamics of Thin-Walled Shells
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Morrey Spaces
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Iterative Methods without Inversion
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Diagram Genus, Generators, and Applications
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Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications
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Analysis on Function Spaces of Musielak-Orlicz Type
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Integration and Cubature Methods
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Separate and Joint Continuity
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Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations
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Constructive Analysis of Semicircular Elements
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Spectral and Scattering Theory for Second Order Partial Differential Operators
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Modeling and Inverse Problems in the Presence of Uncertainty
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Dictionary of Inequalities
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Cremona Groups and the Icosahedron
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Markov Random Flights
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Willmore Energy and Willmore Conjecture
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Mathematical Modelling of Waves in Multi-Scale Structured Media
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Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations
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Tools for Infinite Dimensional Analysis
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Applications of Homogenization Theory to the Study of Mineralized Tissue
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Matrix Inequalities and Their Extensions to Lie Groups
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Calculus of Variations and Control Theory
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A Course on Malliavin-Skorohod Calculus for Additive Processes with Applications to Finance
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Beyond the Gibbs Paradigm
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Unbounded Operators and Subnormality
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Free Random Variables
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Non-Newtonian Sequence Spaces with Applications
"The second edition of this book further confirms the skill of its author to combine mathematical rigor with intuitive understanding... All chapters are carefully structured such that the reader can make easily an image on the main ideas of each topic, not only from the mathematical point of view but also regarding intuitive interpretations and applications. In fact, the book can be a very good course for advanced undergraduates who will find in it a kind of handbook of connections between mathematical concepts and applications in signal processing. ... The book is worth reading not only by students but also by people wishing to have a broad image on signal processing in its intrinsic relationship with mathematics."
—Liviu Goras (Iasi), from Zentralblatt MATH 1321 – 1
| SKU | Unavailable |
| ISBN 13 | 9781482241846 |
| ISBN 10 | 1482241846 |
| Title | Signal Processing |
| Author | Charles L Byrne |
| Series | Chapman And Hall Crc Monographs And Research Notes In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Apple Academic Press Inc. |
| Year published | 2014-11-12 |
| Number of pages | 440 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |