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Time‒frequency and Time‒scale Methods: Adaptive Decompositions, Uncertainty Principles, and Sampling

Time‒frequency and Time‒scale Methods: Adaptive Decompositions, Uncertainty Principles, and Sampling

Hardcover

Series: Applied and Numerical Harmonic Analysis

General MathematicsProbability & Statistics

ISBN10: 0817642765
ISBN13: 9780817642761
Publisher: Springer Nature
Published: Dec 17 2004
Pages: 390
Weight: 1.57
Height: 0.99 Width: 6.16 Depth: 9.50
Language: English

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the forefront of these areas are well aware of the benefits of such a unified approach, there remains a knowledge gap in the larger community of practitioners about the precise strengths and limitations of Fourier/Gabor analysis versus wavelets. This book fills that gap by presenting the interface of time-frequency and time-scale methods as a rich area of work.

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Probability & Statistics