000			13958nam a2201069 i 4500
001			5237149
003			IEEE
005			20191218152113.0
006			m o d
007			cr |n|||||||||
008			151221s2004 njua ob 001 eng d
020			_a9780471660378 _qebook
020			_z0471234419 _qprint ed.
020			_z9780471234418 _qprint ed.
020			_z047166037X _qelectronic
024	7		_a10.1002/047166037X _2doi
035			_a(CaBNVSL)mat05237149
035			_a(IDAMS)0b00006481095395
040			_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL
050		4	_aTK5102.9 _b.A448 2004eb
100	1		_aAllen, Ronald L., _eauthor.
245	1	0	_aSignal analysis : _btime, frequency, scale, and structure / _cRonald L. Allen, Duncan W. Mills.
264		1	_aPiscataway, New Jersey : _bIEEE Press, _cc2004.
264		2	_a[Piscataqay, New Jersey] : _bIEEE Xplore, _c[2004]
300			_a1 PDF (xxi, 937 pages) : _billustrations (some color).
336			_atext _2rdacontent
337			_aelectronic _2isbdmedia
338			_aonline resource _2rdacarrier
504			_aIncludes bibliographical references and index.
505	0		_aPreface -- Acknowledgments -- 1 Signals: Analog, Discrete, and Digital -- 1.1 Introduction to Signals -- 1.1.1 Basic Concepts -- 1.1.2 Time-Domain Description of Signals -- 1.1.3 Analysis in the Time-Frequency Plane -- 1.1.4 Other Domains: Frequency and Scale -- 1.2 Analog Signals -- 1.2.1 Definitions and Notation -- 1.2.2 Examples -- 1.2.3 Special Analog Signals -- 1.3 Discrete Signals -- 1.3.1 Definitions and Notation -- 1.3.2 Examples -- 1.3.3 Special Discrete Signals -- 1.4 Sampling and Interpolation -- 1.4.1 Introduction -- 1.4.2 Sampling Sinusoidal Signals -- 1.4.3 Interpolation -- 1.4.4 Cubic Splines -- 1.5 Periodic Signals -- 1.5.1 Fundamental Period and Frequency -- 1.5.2 Discrete Signal Frequency -- 1.5.3 Frequency Domain -- 1.5.4 Time and Frequency Combined -- 1.6 Special Signal Classes -- 1.6.1 Basic Classes -- 1.6.2 Summable and Integrable Signals -- 1.6.3 Finite Energy Signals -- 1.6.4 Scale Description -- 1.6.5 Scale and Structure -- 1.7 Signals and Complex Numbers -- 1.7.1 Introduction -- 1.7.2 Analytic Functions -- 1.7.3 Complex Integration -- 1.8 Random Signals and Noise -- 1.8.1 Probability Theory -- 1.8.2 Random Variables -- 1.8.3 Random Signals -- 1.9 Summary -- 1.9.1 Historical Notes -- 1.9.2 Resources -- 1.9.3 Looking Forward -- 1.9.4 Guide to Problems -- References -- Problems -- 2 Discrete Systems and Signal Spaces -- 2.1 Operations on Signals -- 2.1.1 Operations on Signals and Discrete Systems -- 2.1.2 Operations on Systems -- 2.1.3 Types of Systems -- 2.2 Linear Systems -- 2.2.1 Properties -- 2.2.2 Decomposition -- 2.3 Translation Invariant Systems -- 2.4 Convolutional Systems -- 2.4.1 Linear, Translation-Invariant Systems -- 2.4.2 Systems Defined by Difference Equations -- 2.4.3 Convolution Properties -- 2.4.4 Application: Echo Cancellation in Digital Telephony -- 2.5 The lp Signal Spaces -- 2.5.1 lp Signals -- 2.5.2 Stable Systems -- 2.5.3 Toward Abstract Signal Spaces -- 2.5.4 Normed Spaces -- 2.5.5 Banach Spaces.
505	8		_a2.6 Inner Product Spaces -- 2.6.1 Definitions and Examples -- 2.6.2 Norm and Metric -- 2.6.3 Orthogonality -- 2.7 Hilbert Spaces -- 2.7.1 Definitions and Examples -- 2.7.2 Decomposition and Direct Sums -- 2.7.3 Orthonormal Bases -- 2.8 Summary -- References -- Problems -- 3 Analog Systems and Signal Spaces -- 3.1 Analog Systems -- 3.1.1 Operations on Analog Signals -- 3.1.2 Extensions to the Analog World -- 3.1.3 Cross-Correlation, Autocorrelation, and Convolution -- 3.1.4 Miscellaneous Operations -- 3.2 Convolution and Analog LTI Systems -- 3.2.1 Linearity and Translation-Invariance -- 3.2.2 LTI Systems, Impulse Response, and Convolution -- 3.2.3 Convolution Properties -- 3.2.4 Dirac Delta Properties -- 3.2.5 Splines -- 3.3 Analog Signal Spaces -- 3.3.1 Lp Spaces -- 3.3.2 Inner Product and Hilbert Spaces -- 3.3.3 Orthonormal Bases -- 3.3.4 Frames -- 3.4 Modern Integration Theory -- 3.4.1 Measure Theory -- 3.4.2 Lebesgue Integration -- 3.5 Distributions -- 3.5.1 From Function to Functional -- 3.5.2 From Functional to Distribution -- 3.5.3 The Dirac Delta -- 3.5.4 Distributions and Convolution -- 3.5.5 Distributions as a Limit of a Sequence -- 3.6 Summary -- 3.6.1 Historical Notes -- 3.6.2 Looking Forward -- 3.6.3 Guide to Problems -- References -- Problems -- 4 Time-Domain Signal Analysis -- 4.1 Segmentation -- 4.1.1 Basic Concepts -- 4.1.2 Examples -- 4.1.3 Classification -- 4.1.4 Region Merging and Splitting -- 4.2 Thresholding -- 4.2.1 Global Methods -- 4.2.2 Histograms -- 4.2.3 Optimal Thresholding -- 4.2.4 Local Thresholding -- 4.3 Texture -- 4.3.1 Statistical Measures -- 4.3.2 Spectral Methods -- 4.3.3 Structural Approaches -- 4.4 Filtering and Enhancement -- 4.4.1 Convolutional Smoothing -- 4.4.2 Optimal Filtering -- 4.4.3 Nonlinear Filters -- 4.5 Edge Detection -- 4.5.1 Edge Detection on a Simple Step Edge -- 4.5.2 Signal Derivatives and Edges -- 4.5.3 Conditions for Optimality -- 4.5.4 Retrospective -- 4.6 Pattern Detection -- 4.6.1 Signal Correlation.
505	8		_a4.6.2 Structural Pattern Recognition -- 4.6.3 Statistical Pattern Recognition -- 4.7 Scale Space -- 4.7.1 Signal Shape, Concavity, and Scale -- 4.7.2 Gaussian Smoothing -- 4.8 Summary -- References -- Problems -- 5 Fourier Transforms of Analog Signals -- 5.1 Fourier Series -- 5.1.1 Exponential Fourier Series -- 5.1.2 Fourier Series Convergence -- 5.1.3 Trigonometric Fourier Series -- 5.2 Fourier Transform -- 5.2.1 Motivation and Definition -- 5.2.2 Inverse Fourier Transform -- 5.2.3 Properties -- 5.2.4 Symmetry Properties -- 5.3 Extension to L2(R) -- 5.3.1 Fourier Transforms in L1(R) ∩ � L2(R) -- 5.3.2 Definition -- 5.3.3 Isometry -- 5.4 Summary -- 5.4.1 Historical Notes -- 5.4.2 Looking Forward -- References -- Problems -- 6 Generalized Fourier Transforms of Analog Signals -- 6.1 Distribution Theory and Fourier Transforms -- 6.1.1 Examples -- 6.1.2 The Generalized Inverse Fourier Transform -- 6.1.3 Generalized Transform Properties -- 6.2 Generalized Functions and Fourier Series Coefficients -- 6.2.1 Dirac Comb: A Fourier Series Expansion -- 6.2.2 Evaluating the Fourier Coefficients: Examples -- 6.3 Linear Systems in the Frequency Domain -- 6.3.1 Convolution Theorem -- 6.3.2 Modulation Theorem -- 6.4 Introduction to Filters -- 6.4.1 Ideal Low-pass Filter -- 6.4.2 Ideal High-pass Filter -- 6.4.3 Ideal Bandpass Filter -- 6.5 Modulation -- 6.5.1 Frequency Translation and Amplitude Modulation -- 6.5.2 Baseband Signal Recovery -- 6.5.3 Angle Modulation -- 6.6 Summary -- References -- Problems -- 7 Discrete Fourier Transforms -- 7.1 Discrete Fourier Transform -- 7.1.1 Introduction -- 7.1.2 The DFT's Analog Frequency-Domain Roots -- 7.1.3 Properties -- 7.1.4 Fast Fourier Transform -- 7.2 Discrete-Time Fourier Transform -- 7.2.1 Introduction -- 7.2.2 Properties -- 7.2.3 LTI Systems and the DTFT -- 7.3 The Sampling Theorem -- 7.3.1 Band-Limited Signals -- 7.3.2 Recovering Analog Signals from Their Samples -- 7.3.3 Reconstruction -- 7.3.4 Uncertainty Principle.
505	8		_a7.4 Summary -- References -- Problems -- 8 The z-Transform -- 8.1 Conceptual Foundations -- 8.1.1 Definition and Basic Examples -- 8.1.2 Existence -- 8.1.3 Properties -- 8.2 Inversion Methods -- 8.2.1 Contour Integration -- 8.2.2 Direct Laurent Series Computation -- 8.2.3 Properties and z-Transform Table Lookup -- 8.2.4 Application: Systems Governed by Difference Equations -- 8.3 Related Transforms -- 8.3.1 Chirp z-Transform -- 8.3.2 Zak Transform -- 8.4 Summary -- 8.4.1 Historical Notes -- 8.4.2 Guide to Problems -- References -- Problems -- 9 Frequency-Domain Signal Analysis -- 9.1 Narrowband Signal Analysis -- 9.1.1 Single Oscillatory Component: Sinusoidal Signals -- 9.1.2 Application: Digital Telephony DTMF -- 9.1.3 Filter Frequency Response -- 9.1.4 Delay -- 9.2 Frequency and Phase Estimation -- 9.2.1 Windowing -- 9.2.2 Windowing Methods -- 9.2.3 Power Spectrum Estimation -- 9.2.4 Application: Interferometry -- 9.3 Discrete filter design and implementation -- 9.3.1 Ideal Filters -- 9.3.2 Design Using Window Functions -- 9.3.3 Approximation -- 9.3.4 Z-Transform Design Techniques -- 9.3.5 Low-Pass Filter Design -- 9.3.6 Frequency Transformations -- 9.3.7 Linear Phase -- 9.4 Wideband Signal Analysis -- 9.4.1 Chirp Detection -- 9.4.2 Speech Analysis -- 9.4.3 Problematic Examples -- 9.5 Analog Filters -- 9.5.1 Introduction -- 9.5.2 Basic Low-Pass Filters -- 9.5.3 Butterworth -- 9.5.4 Chebyshev -- 9.5.5 Inverse Chebyshev -- 9.5.6 Elliptic Filters -- 9.5.7 Application: Optimal Filters -- 9.6 Specialized Frequency-Domain Techniques -- 9.6.1 Chirp-z Transform Application -- 9.6.2 Hilbert Transform -- 9.6.3 Perfect Reconstruction Filter Banks -- 9.7 Summary -- References -- Problems -- 10 Time-Frequency Signal Transforms -- 10.1 Gabor Transforms -- 10.1.1 Introduction -- 10.1.2 Interpretations -- 10.1.3 Gabor Elementary Functions -- 10.1.4 Inversion -- 10.1.5 Applications -- 10.1.6 Properties -- 10.2 Short-Time Fourier Transforms -- 10.2.1 Window Functions -- 10.2.2 Transforming with a General Window.
505	8		_a10.2.3 Properties -- 10.2.4 Time-Frequency Localization -- 10.3 Discretization -- 10.3.1 Transforming Discrete Signals -- 10.3.2 Sampling the Short-Time Fourier Transform -- 10.3.3 Extracting Signal Structure -- 10.3.4 A Fundamental Limitation -- 10.3.5 Frames of Windowed Fourier Atoms -- 10.3.6 Status of Gabor's Problem -- 10.4 Quadratic Time-Frequency Transforms -- 10.4.1 Spectrogram -- 10.4.2 Wigner-Ville Distribution -- 10.4.3 Ambiguity Function -- 10.4.4 Cross-Term Problems -- 10.4.5 Kernel Construction Method -- 10.5 The Balian-Low Theorem -- 10.5.1 Orthonormal Basis Decomposition -- 10.5.2 Frame Decomposition -- 10.5.3 Avoiding the Balian-Low Trap -- 10.6 Summary -- 10.6.1 Historical Notes -- 10.6.2 Resources -- 10.6.3 Looking Forward -- References -- Problems -- 11 Time-Scale Signal Transforms -- 11.1 Signal Scale -- 11.2 Continuous Wavelet Transforms -- 11.2.1 An Unlikely Discovery -- 11.2.2 Basic Theory -- 11.2.3 Examples -- 11.3 Frames -- 11.3.1 Discretization -- 11.3.2 Conditions on Wavelet Frames -- 11.3.3 Constructing Wavelet Frames -- 11.3.4 Better Localization -- 11.4 Multiresolution Analysis and Orthogonal Wavelets -- 11.4.1 Multiresolution Analysis -- 11.4.2 Scaling Function -- 11.4.3 Discrete Low-Pass Filter -- 11.4.4 Orthonormal Wavelet -- 11.5 Summary -- References -- Problems -- 12 Mixed-Domain Signal Analysis -- 12.1 Wavelet Methods for Signal Structure -- 12.1.1 Discrete Wavelet Transform -- 12.1.2 Wavelet Pyramid Decomposition -- 12.1.3 Application: Multiresolution Shape Recognition -- 12.2 Mixed-Domain Signal Processing -- 12.2.1 Filtering Methods -- 12.2.2 Enhancement Techniques -- 12.3 Biophysical Applications -- 12.3.1 David Marr's Program -- 12.3.2 Psychophysics -- 12.4 Discovering Signal Structure -- 12.4.1 Edge Detection -- 12.4.2 Local Frequency Detection -- 12.4.3 Texture Analysis -- 12.5 Pattern Recognition Networks -- 12.5.1 Coarse-to-Fine Methods -- 12.5.2 Pattern Recognition Networks -- 12.5.3 Neural Networks -- 12.5.4 Application: Process Control.
505	8		_a12.6 Signal Modeling and Matching -- 12.6.1 Hidden Markov Models -- 12.6.2 Matching Pursuit -- 12.6.3 Applications -- 12.7 Afterword -- References -- Problems -- Index.
506	1		_aRestricted to subscribers or individual electronic text purchasers.
520			_a. Offers a well-rounded, mathematical approach to problems in signal interpretation using the latest time, frequency, and mixed-domain methods. Equally useful as a reference, an up-to-date review, a learning tool, and a resource for signal analysis techniques. Provides a gradual introduction to the mathematics so that the less mathematically adept reader will not be overwhelmed with instant hard analysis. Covers Hilbert spaces, complex analysis, distributions, random signals, analog Fourier transforms, and more.
530			_aAlso available in print.
538			_aMode of access: World Wide Web
588			_aDescription based on PDF viewed 12/21/2015.
650		0	_aSignal processing.
655		0	_aElectronic books.
695			_aApproximation methods
695			_aArtificial neural networks
695			_aAtmospheric measurements
695			_aBand pass filters
695			_aCalculus
695			_aComputer science
695			_aComputers
695			_aContinuous wavelet transforms
695			_aConvergence
695			_aConvolution
695			_aCorrelation
695			_aDelay
695			_aDemodulation
695			_aDigital filters
695			_aDigital signal processing
695			_aDiscrete Fourier transforms
695			_aEquations
695			_aFiltering
695			_aFiltering theory
695			_aFinite element methods
695			_aFourier series
695			_aFourier transforms
695			_aHeating
695			_aHilbert space
695			_aIIR filters
695			_aIndexes
695			_aLinear systems
695			_aLinearity
695			_aLow pass filters
695			_aMathematical analysis
695			_aMathematical model
695			_aMultiresolution analysis
695			_aParticle measurements
695			_aSections
695			_aSignal analysis
695			_aSignal resolution
695			_aSpectrogram
695			_aSpeech recognition
695			_aTerminology
695			_aTesting
695			_aTime domain analysis
695			_aTime frequency analysis
695			_aTransforms
695			_aWavelet analysis
700	1		_aMills, Duncan W.
710	2		_aJohn Wiley & Sons, _epublisher.
710	2		_aIEEE Xplore (Online service), _edistributor.
776	0	8	_iPrint version: _z9780471234418
856	4	2	_3Abstract with links to resource _uhttps://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=5237149
999			_c41930 _d41930