时频变换与小波变换导论(英文版)
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- ISBN:7111158342
- 装帧:简裝本
- 册数:暂无
- 重量:暂无
- 开本:暂无
- 页数:336
- 出版时间:2005-01-01
- 条形码:9787111158349 ; 978-7-111-15834-9
内容简介
本书从工程师的角度,而不是从抽象的数学方程的角度,用启发性的观点介绍了“时频和小波分析”问题。内容丰富、结构简明是本书的一大特点。本书每一章都从背景简介开始,进而转向理论推导,*后得到具有高度实用性的数字工具。书中所有的算法都可以在商业软件中找到,如美国国家仪器公司(Nationallnstruments,NI)的SignalProcessingToolset,各种应用的例子都可以从NI网站上直接下载得到。本书包含了从NI用户中收集到的多种真实应用,其中很多都是首次公开发表。
目录
Preface
Chapter1Introduction
Chapter2FourierTransform
--AMathematicalPrism
2.1Frame
2.2FourierTransform
2.3RelationshipbetweenTimeandFrequencyRepresentations
2.4CharacterizationofTimeWaveformandPowerSpectrum
2.5UncertaintyPrinciple-
2.6DiscretePoisson-SumFormula
Chapter3Short-TimeFourierTransformandGaborExpansion
3.1Short-TimeFourierTransform
3.2GaborExpansion
3.3PeriodicDiscreteGaborExpansion
3.4Orthogonal-LikeGaborExpansion
3.5AFastAlgorithmforComputingDualFunctions
3.6DiscreteGaborExpansion
Chapter4LinearTime-VariantFilters
4.1LMSEMethod
4.2IterativeMethod
4.3SelectionofWindowFunctions
Chapter5FundamentalsoftheWaveletTransform
5.1ContinuousWaveletTransform
5.2PiecewiseApproximation
5.3MultiresolutionAnalysis
5.4WaveletTransformationandDigitalFilterBanks
5.5ApplicationsoftheWaveletTransform
Chapter6DigitalFilterBanksandtheWaveletTransform
6.1Two-ChannelPerfectReconstructionFilterBanks
6.2OrthogonalFilterBanks
6.3GeneralTree-StructureFilterBanksandWaveletPackets
Chapter7Wigner-VilleDistribution
7.1Wigner-VilleDistribution
7.2GeneralPropertiesoftheWigner-VilleDistribution
7.3Wigner-VilleDistributionfortheSumofMultipleSignals
7.4SmoothedWigner-VilleDistribution
7.5Wigner-VilleDistributionofAnalyticSignals
7.6DiscreteWigner-VilleDistribution
Chapter8OtherTime-DependentPowerSpectra
8.1AmbiguityFunction
8.2Cohen'sClass
8.3SomeMembersofCohen'sClass
8.4Reassignment
Chapter9DecompositionoftheWigner-VilleDistribution
9.1DecompositionoftheWigner-VilleDistribution
9.2Time-FrequencyDistributionSeries
9.3SelectionofDualFunctions
9.4MeanInstantaneousFrequencyandInstantaneousBandwidth
9.5ApplicationforEarthquakeEngineering
Chapter10AdaptiveGaborExpansionandMatchingPursuit
10.1MatchingPursuit
10.2AdaptiveGaborExpansion
10.3FastRefinement
10.4ApplicationsoftheAdaptiveGaborExpansion
10.5.AdaptiveGaussianChirpletDecomposition
AppendixOptimalDualFunctions
Bibliography
Index
Chapter1Introduction
Chapter2FourierTransform
--AMathematicalPrism
2.1Frame
2.2FourierTransform
2.3RelationshipbetweenTimeandFrequencyRepresentations
2.4CharacterizationofTimeWaveformandPowerSpectrum
2.5UncertaintyPrinciple-
2.6DiscretePoisson-SumFormula
Chapter3Short-TimeFourierTransformandGaborExpansion
3.1Short-TimeFourierTransform
3.2GaborExpansion
3.3PeriodicDiscreteGaborExpansion
3.4Orthogonal-LikeGaborExpansion
3.5AFastAlgorithmforComputingDualFunctions
3.6DiscreteGaborExpansion
Chapter4LinearTime-VariantFilters
4.1LMSEMethod
4.2IterativeMethod
4.3SelectionofWindowFunctions
Chapter5FundamentalsoftheWaveletTransform
5.1ContinuousWaveletTransform
5.2PiecewiseApproximation
5.3MultiresolutionAnalysis
5.4WaveletTransformationandDigitalFilterBanks
5.5ApplicationsoftheWaveletTransform
Chapter6DigitalFilterBanksandtheWaveletTransform
6.1Two-ChannelPerfectReconstructionFilterBanks
6.2OrthogonalFilterBanks
6.3GeneralTree-StructureFilterBanksandWaveletPackets
Chapter7Wigner-VilleDistribution
7.1Wigner-VilleDistribution
7.2GeneralPropertiesoftheWigner-VilleDistribution
7.3Wigner-VilleDistributionfortheSumofMultipleSignals
7.4SmoothedWigner-VilleDistribution
7.5Wigner-VilleDistributionofAnalyticSignals
7.6DiscreteWigner-VilleDistribution
Chapter8OtherTime-DependentPowerSpectra
8.1AmbiguityFunction
8.2Cohen'sClass
8.3SomeMembersofCohen'sClass
8.4Reassignment
Chapter9DecompositionoftheWigner-VilleDistribution
9.1DecompositionoftheWigner-VilleDistribution
9.2Time-FrequencyDistributionSeries
9.3SelectionofDualFunctions
9.4MeanInstantaneousFrequencyandInstantaneousBandwidth
9.5ApplicationforEarthquakeEngineering
Chapter10AdaptiveGaborExpansionandMatchingPursuit
10.1MatchingPursuit
10.2AdaptiveGaborExpansion
10.3FastRefinement
10.4ApplicationsoftheAdaptiveGaborExpansion
10.5.AdaptiveGaussianChirpletDecomposition
AppendixOptimalDualFunctions
Bibliography
Index
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