This text provides an introduction to mathematicians and engineers who want to learn about the different approaches and aspects of Gabor analysis or want to apply Gabor-based techniques to tasks in signal and image processing. It should be of interest to those working in the fields of harmonic analysis, applied mathematics, numerical analysis, engineering, signal and image processing, optics and pattern recognition. Features include: self-contained introduction to basic Gabor analysis; survey of fundamental results in Gabor theory; efficient numerical algorithms; Gabor expansions in signal and image processing; and applications in pattern recognition, filter bank design and optics.
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"... a definitive survey of the subject shows connections and interactions between theory, numerical algorithms, and applications." —Mathematical Reviews
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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finite frame upper bound, underspread operators, frame upper bounds, same stacking type, subspace detector, system gna, canonical dual basis, system gnm, unknown noise level, systems gnm, triple isomorphism, spreading representation, inverse frame operator, most gcd, oversampled case, coefficients cmk, oversampled filter banks, amalgam spaces, integer oversampling, synthesis prototype, uncertainty principle inequality, modulated filter banks, adjoint lattice, local trigonometric bases, twisted convolution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Classical Uncertainty Principle Inequality, Poisson Summation Formula, Theory of Communication, While Gabor New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
finite frame upper bound, underspread operators, frame upper bounds, same stacking type, subspace detector, system gna, canonical dual basis, system gnm, unknown noise level, systems gnm, triple isomorphism, spreading representation, inverse frame operator, most gcd, oversampled case, coefficients cmk, oversampled filter banks, amalgam spaces, integer oversampling, synthesis prototype, uncertainty principle inequality, modulated filter banks, adjoint lattice, local trigonometric bases, twisted convolution Key Phrases - Capitalized Phrases (CAPs): (learn more)
Classical Uncertainty Principle Inequality, Poisson Summation Formula, Theory of Communication, While Gabor New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 49
books:
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17
books
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- Wavelets Mathematics and Applications (Studies in Advanced Mathematics) by John Benedetto on 4 pages
- Computational Frameworks for the Fast Fourier Transform (Frontiers in Applied Mathematics) by Charles Van Loan on page 267, and Back Matter
- Linear Algebra (Oxford Science Publications) by Richard Kaye in Back Matter
- Special Functions (Encyclopedia of Mathematics and its Applications) by George E. Andrews in Back Matter
- Wavelets and Filter Banks by Gilbert Strang in Back Matter
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- Advances in Gabor Analysis by Hans G. Feichtinger on 9 pages
- Time Frequency Analysis by Boualme Boashash on 4 pages
- Modern Sampling Theory by John J. Benedetto in Back Matter (1), Back Matter (2), and Back Matter (3)
- Time-Frequency Analysis and Synthesis of Linear Signal Spaces: Time-Frequency Filters, Signal Detection and Estimation, and Range-Doppler Estimation ... Series in Engineering and Computer Science) by Franz Hlawatsch in Back Matter (1), Back Matter (2), and Back Matter (3)
- Digital Image Analysis: Selected Techniques and Applications by Walter G. Kropatsch on page 117, page 121, and page 129
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