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Time-Frequency and Time-Scale Methods : Adaptive Decompositions, Uncertainty Principles, and Sampling - Jeffrey A. Hogan

Time-Frequency and Time-Scale Methods

Adaptive Decompositions, Uncertainty Principles, and Sampling

By: Jeffrey A. Hogan

eText | 21 December 2007

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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 developments in time-frequency and time-scale analysis 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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Non-FictionMathematicsApplied MathematicsCalculus & Mathematical AnalysisDifferential Calculus & EquationsEngineering & TechnologyElectronics & Communications EngineeringElectronics EngineeringCommunications Engineering & TelecommunicationsProbability & StatisticsEnergy Technology & EngineeringElectrical Engineering

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