Wavelet Theory and Its Applications: The Springer International Series in Engineering and Computer Science, cartea 189
Autor Randy K. Youngen Limba Engleză Paperback – 4 oct 2012
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Specificații
ISBN-13: 9781461365938
ISBN-10: 1461365937
Pagini: 244
Ilustrații: XV, 223 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.35 kg
Ediția:1993
Editura: Springer Us
Colecția Springer
Seria The Springer International Series in Engineering and Computer Science
Locul publicării:New York, NY, United States
ISBN-10: 1461365937
Pagini: 244
Ilustrații: XV, 223 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.35 kg
Ediția:1993
Editura: Springer Us
Colecția Springer
Seria The Springer International Series in Engineering and Computer Science
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
Foreword.- Preface.- 1: Introduction/Background.- Wavelet Theory Basics - Scaling and Translation.- Appendix 1-A: Time Referencing.- 2: The Wavelet Transform.- Wavelet Transform Definitions and Operators.- Wavelet Transform Examples.- The Resolution of Identity.- Continuous Inverse Wavelet Transform Theorem.- Energy Distribution in the Wavelet Transform Domain.- Discrete Wavelet Transform (Continuous Time Wavelet Series).- Wideband Matched Filter Interpretation of the Lattice Density.- Review of the Inverse Discrete Wavelet Transform: Scale-translation Lattice Density and Mother WaveletConstraints.- Discrete Wavelet Mathematics - Rigorous Justification.- Discrete Time Wavelet Series.- Multiresolution, Orthogonal, and Biorthogonal WaveletTransforms (and PR-QMFs).- Discrete Time Wavelet Series - A Specific Structure.- Multiresolution.- Orthogonal and Biorthogonal Wavelet Transforms.- An Image Processing Example.- Appendix 2-A: Nonunique Wavelet Domain Representations.- 3: Practical Resolution, Gain, and Processing Structures.- Fourier/Narrowband Gain and Resolution Comparisons.- Multiple Mother Wavelets - Gain and Resolution PropertiesOnly.- Mother Wavelet Properties - Relationships to EstablishedTheories.- Signal Analysis - Time-frequency or time-scale Applications.- A Physical Interpretation of Scale-translation Resolution: Wideband Ambiguity Function Conditions.- Wideband Conditions.- Wideband Signals and the Analytic Signal Model.- Effective rms Time-bandwidth Product.- Wideband Systems and Signals.- Active and Passive Sensing.- Ambiguity Functions.- Reformulation of the WBCAF with Wavelet Transforms.- Properties of the Reformulated WBCAF.- Cross Wavelet Transforms and Signal Commonalities.- Appendix 3-A: Wideband/Narrowband Ambiguity Functions:Assumptions, Tradeoffsand Efficiencies.- Appendix 3-B: Narrowband Ambiguity Function Theory.- 4: Wavelet Theory Extensions and Ambiguity Functions.- Multiresolution/Orthogonal Wavelets versus UnconstrainedWavelets.- Sampling Grids.- Unconstrained Wavelet Transforms - Mother Wavelet Freedom.- The Mother Mapper Operator.- Unconstrained Wavelet Transforms/Mother Mapper OperatorProperties and Applications.- Mother Mapper Operator Applications.- Mother Mapper Operator - Final Considerations.- Further Research and Applications of the Mother Mapper Operator.- 5: Linear Systems Modelling with Wavelet Theory.- and Motivation.- Wideband/Nonstationary/Time-varying System Modelling.- The Wideband Signal Reflection Process.- Common Framework of System or Channel Characterizations.- The STV Wavelet Operator - Space-time-varying System Model.- STV Wavelet Operator’s Energy Distribution.- Estimation of the Wideband System Characterization.- Properties of the STV Wavelet Operator.- Examples of the STV Wavelet Operator.- Wideband Reflection: Comparing the LTI and STV Models.- Justification for the STV Operator Instead of Convolution forSignals Represented by Wavelet Transforms.- The STV Wavelet Operator in the Wavelet Transform Domain.- Space-time-varying System Identification Problem with Wideband/Nonstationary Input/Outputs.- Limitations of the STV Wavelet Operator - Time Referencing andNonlinear Time Variations.- Bi-wavelet System Representation: Time variation of the Time-varying System Model.- 6: Wideband Scattering and Environmental Imaging.- Scattering Theory.- General Scattering Function Background.- Narrowband Scattering Theory.- Wideband Correlation Receiver and its Output.- Wideband Point Scatterer Example.- Wideband Scattering Functions and Resolutions.- Physical Form of the WBCAF.- Time Delayand Scale Estimation.- WBAAF Moments and Assumptions.- Wideband Scattering Review.- Related Research.- References.