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• Title:Foundations of signal processing / Martin Vetterli, Jelena Kovačević, Vivek K Goyal.
  
•    
• Author/Creator:Vetterli, Martin, author.
  
• Other Contributors/Collections:Kovačević, Jelena, author.
  Goyal, Vivek K., author.
  
• Published/Created:Cambridge : Cambridge University Press, 2014.
  

• Holdings

  Holdings Record Display

  • Location:OKANAGAN LIBRARY stacksWhere is this?
    
  • Call Number: TK5102.9 .V48 2014
    
  • Number of Items:1
    
  • Status:Available
    
  • Links:Donor bookplate
    

  • Location:WOODWARD LIBRARY stacksWhere is this?
    
  • Call Number: TK5102.9 .V48 2014
    
  • Number of Items:1
    
  • Status:Available
    

   
• Library of Congress Subjects:Signal processing.
  
• Description:xxvii, 715 pages ; 26 cm
  
• Notes:Includes bibliographical references and index.
  
• ISBN:9781107038608
  110703860X
  
• Contents:Machine generated contents note: 1. On rainbows and spectra
  2. From Euclid to Hilbert
  2.1. Introduction
  2.2. Vector spaces
  2.2.1. Definition and properties
  2.2.2. Inner product
  2.2.3. Norm
  2.2.4. Standard spaces
  2.3. Hilbert spaces
  2.3.1. Convergence
  2.3.2. Completeness
  2.3.3. Linear operators
  2.4. Approximations, projections, and decompositions
  2.4.1. Projection theorem
  2.4.2. Projection operators
  2.4.3. Direct sums and subspace decompositions
  2.4.4. Minimum mean-squared error estimation
  2.5. Bases and frames
  2.5.1. Bases and Riesz bases
  2.5.2. Orthonormal bases
  2.5.3. Biorthogonal pairs of bases
  2.5.4. Frames
  2.5.5. Matrix representations of vectors and linear operators
  2.6. Computational aspects
  2.6.1. Cost, complexity, and asymptotic notations
  2.6.2. Precision
  2.6.3. Conditioning
  2.6.4. Solving systems of linear equations
  2.A. Elements of analysis and topology
  2.A.1. Basic definitions
  2.A.2. Convergence
  2.A.3. Interchange theorems
  2.A.4. Inequalities
  2.A.5. Integration by parts
  2.B. Elements of linear algebra
  2.B.1. Basic definitions and properties
  2.B.2. Special matrices
  2.C. Elements of probability
  2.C.1. Basic definitions
  2.C.2. Standard distributions
  2.C.3. Estimation
  2.D. Basis concepts
  Chapter at a glance
  Historical remarks
  Further reading
  Exercises with solutions
  Exercises
  3. Sequences and discrete-time systems
  3.1. Introduction
  3.2. Sequences
  3.2.1. Infinite-length sequences
  3.2.2. Finite-length sequences
  3.2.3. Two-dimensional sequences
  3.3. Systems
  3.3.1. Discrete-time systems and their properties
  3.3.2. Difference equations
  3.3.3. Linear shift-invariant systems
  3.4. Discrete-time Fourier transform
  3.4.1. Definition of the DTFT
  3.4.2. Existence and convergence of the DTFT
  3.4.3. Properties of the DTFT
  3.4.4. Frequency response of filters
  3.5. z-transform
  3.5.1. Definition of the z-transform
  3.5.2. Existence and convergence of the z-transform
  3.5.3. Properties of the z-transform
  3.5.4. z-transform of filters
  3.6. Discrete Fourier transform
  3.6.1. Definition of the DFT
  3.6.2. Properties of the DFT
  3.6.3. Frequency response of filters
  3.7. Multirate sequences and systems
  3.7.1. Downsampling
  3.7.2. Upsampling
  3.7.3. Combinations of downsampling and upsampling
  3.7.4. Combinations of downsampling, upsampling, and filtering
  3.7.5. Polyphase representation
  3.8. Stochastic processes and systems
  3.8.1. Stochastic processes
  3.8.2. Systems
  3.8.3. Discrete-time Fourier transform
  3.8.4. Multirate sequences and systems
  3.8.5. Minimum mean-squared error estimation
  3.9. Computational aspects
  3.9.1. Fast Fourier transforms
  3.9.2. Convolution
  3.9.3. Multirate operations
  3.A. Elements of analysis
  3.A.1. Complex numbers
  3.A.2. Difference equations
  3.A.3. Convergence of the convolution sum
  3.A.4. Dirac delta function
  3.B. Elements of algebra
  3.B.1. Polynomials
  3.B.2. Vectors and matrices of polynomials
  3.B.3. Kronecker product
  Chapter at a glance
  Historical remarks
  Further reading
  Exercises with solutions
  Exercises
  4. Functions and continuous-time systems
  4.1. Introduction
  4.2. Functions
  4.2.1. Functions on the real line
  4.2.2. Periodic functions
  4.3. Systems
  4.3.1. Continuous-time systems and their properties
  4.3.2. Differential equations
  4.3.3. Linear shift-invariant systems
  4.4. Fourier transform
  4.4.1. Definition of the Fourier transform
  4.4.2. Existence and inversion of the Fourier transform
  4.4.3. Properties of the Fourier transform
  4.4.4. Frequency response of filters
  4.4.5. Regularity and spectral decay
  4.4.6. Laplace transform
  4.5. Fourier series
  4.5.1. Definition of the Fourier series
  4.5.2. Existence and convergence of the Fourier series
  4.5.3. Properties of the Fourier series
  4.5.4. Frequency response of filters
  4.6. Stochastic processes and systems
  4.6.1. Stochastic processes
  4.6.2. Systems
  4.6.3. Fourier transform
  Chapter at a glance
  Historical remarks
  Further reading
  Exercises with solutions
  Exercises
  5. Sampling and interpolation
  5.1. Introduction
  5.2. Finite-dimensional vectors
  5.2.1. Sampling and interpolation with orthonormal vectors
  5.2.2. Sampling and interpolation with nonorthogonal vectors
  5.3. Sequences
  5.3.1. Sampling and interpolation with orthonormal sequences
  5.3.2. Sampling and interpolation for bandlimited sequences
  5.3.3. Sampling and interpolation with nonorthogonal sequences
  5.4. Functions
  5.4.1. Sampling and interpolation with orthonormal functions
  5.4.2. Sampling and interpolation for bandlimited functions
  5.4.3. Sampling and interpolation with nonorthogonal functions
  5.5. Periodic functions
  5.5.1. Sampling and interpolation with orthonormal periodic functions
  5.5.2. Sampling and interpolation for bandlimited periodic functions
  5.6. Computational aspects
  5.6.1. Projection onto convex sets
  Chapter at a glance
  Historical remarks
  Further reading
  Exercises with solutions
  Exercises
  6. Approximation and compression
  6.1. Introduction
  6.2. Approximation of functions on finite intervals by polynomials
  6.2.1. Least-squares approximation
  6.2.2. Lagrange interpolation: Matching points
  6.2.3. Taylor series expansion: Matching derivatives
  6.2.4. Hermite interpolation: Matching points and derivatives
  6.2.5. Minimax polynomial approximation
  6.2.6. Filter design
  6.3. Approximation of functions by splines
  6.3.1. Splines and spline spaces
  6.3.2. Bases for uniform spline spaces
  6.3.3. Strang
  Fix condition for polynomial representation
  6.3.4. Continuous-time operators in spline spaces implemented with discrete-time processing
  6.4. Approximation of functions and sequences by series truncation
  6.4.1. Linear and nonlinear approximations
  6.4.2. Linear approximation of random vectors and stochastic processes
  6.4.3. Linear and nonlinear diagonal estimators
  6.5. Compression
  6.5.1. Lossless compression
  6.5.2. Scalar quantization
  6.5.3. Transform coding
  6.6. Computational aspects
  6.6.1. Huffman algorithm for lossless code design
  6.6.2. Iterative design of quantizers
  6.6.3. Estimating from quantized samples
  Chapter at a glance
  Historical remarks
  Further reading
  Exercises with solutions
  Exercises
  7. Localization and uncertainty
  7.1. Introduction
  7.2. Localization for functions
  7.2.1. Localization in time
  7.2.2. Localization in frequency
  7.2.3. Uncertainty principle for functions
  7.3. Localization for sequences
  7.3.1. Localization in time
  7.3.2. Localization in frequency
  7.3.3. Uncertainty principle for sequences
  7.3.4. Uncertainty principle for finite-length sequences
  7.4. Tiling the time-frequency plane
  7.4.1. Localization for structured sets of functions
  7.4.2. Localization for structured sets of sequences
  7.5. Examples of local Fourier and wavelet bases
  7.5.1. Local Fourier and wavelet bases for functions
  7.5.2. Local Fourier and wavelet bases for sequences
  7.6. Recap and a glimpse forward
  7.6.1. Tools
  7.6.2. Adapting tools to real-world problems
  7.6.3. Music analysis, communications, and compression
  Chapter at a glance
  Historical remarks
  Further reading
  Exercises with solutions
  Exercises.