000			04044nam a22005295i 4500
001			978-0-8176-4431-4
003			DE-He213
005			20251006084434.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780817644314
020			_a99780817644314
024	7		_a10.1007/b139077 _2doi
082	0	4	_a515.785 _223
100	1		_aHogan, Jeffrey A. _eauthor.
245	1	0	_aTime-Frequency and Time-Scale Methods _h[electronic resource] : _bAdaptive Decompositions, Uncertainty Principles, and Sampling / _cby Jeffrey A. Hogan, Joseph D. Lakey.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2005.
300			_aXXII, 388 p. 22 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied and Numerical Harmonic Analysis
505	0		_aWavelets: Basic properties, parameterizations and sampling -- Derivatives and multiwavelets -- Sampling in Fourier and wavelet analysis -- Bases for time-frequency analysis -- Fourier uncertainty principles -- Function spaces and operator theory -- Uncertainty principles in mathematical physics.
520			_aDeveloped 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. Topics and Features: * Inclusion of historical, background material such as the pioneering ideas of von Neumann in quantum mechanics and Landau, Slepian, and Pollak in signal analysis * Presentation of self-contained core material on wavelets, sampling reconstruction of bandlimited signals, and local trigonometric and wavelet packet bases * Development of connections based on perspectives that emerged after the wavelet revolution of the 1980s * Integrated approach to the use of Fourier/Gabor methods and wavelet methods * Comprehensive treatment of Fourier uncertainty principles * Explanations at the end of each chapter addressing other major developments and new directions for research Applied mathematicians and engineers in signal/image processing and communication theory will find in the first half of the book an accessible presentation of principal developments in this active field of modern analysis, as well as the mathematical methods underlying real-world applications. Researchers and students in mathematical analysis, signal analysis, and mathematical physics will benefit from the coverage of deep mathematical advances featured in the second part of the work.
650		0	_aMATHEMATICS.
650		0	_aHARMONIC ANALYSIS.
650		0	_aFOURIER ANALYSIS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aTELECOMMUNICATION.
650	1	4	_aMATHEMATICS.
650	2	4	_aABSTRACT HARMONIC ANALYSIS.
650	2	4	_aFOURIER ANALYSIS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aSIGNAL, IMAGE AND SPEECH PROCESSING.
650	2	4	_aCOMMUNICATIONS ENGINEERING, NETWORKS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
700	1		_aLakey, Joseph D. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817642761
830		0	_aApplied and Numerical Harmonic Analysis
856	4	0	_uhttp://dx.doi.org/10.1007/b139077 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59632 _d59632