Cover -- Title Page -- Copyright -- Contents -- Foreword -- Notations and Abbreviations -- Chapter 1: Recap on Digital Signal Processing -- 1.1 The sampling theorem -- 1.2 Spectral contents -- 1.2.1 Discrete-time Fourier transform (DTFT) -- 1.2.2 Discrete Fourier transform (DFT) -- 1.3 Case of random signals -- 1.4 Example of the Dual Tone Multi-Frequency (DTMF) -- Chapter 2: Additional Information About Filtering -- 2.1 Filter implementation -- 2.1.1 Examples of filter structures -- 2.1.2 Distributing the calculation load in an FIR filter -- 2.1.3 FIR block filtering -- 2.1.4 FFT filtering -- 2.2 Filter banks -- 2.2.1 Decimation and expansion -- 2.2.2 Filter banks -- 2.3 Ripple control -- 2.3.1 Principle -- 2.3.2 Programming -- Chapter 3: Image Processing -- 3.1 A little geometry -- 3.1.1 3D object -- 3.1.2 Calibration of cameras -- 3.2 Pyramidal decompositions -- 3.2.1 Pyramidal decomposition given by Burt and Adelson -- 3.2.2 Pyramidal decomposition using a Haar tranformation -- 3.2.3 Stepwise decomposition (lifting scheme) -- Chapter 4: Numerical Calculus and Simulation -- 4.1 Simulation of continuous-time systems -- 4.1.1 Simulation by approximation -- 4.1.2 Exact model simulation -- 4.2 Solving of ordinary differential equations (ODEs) -- 4.2.1 Conversion from continuous to discrete time -- 4.2.2 Linear case, continuous-time solution -- 4.2.3 Remarks on the Runge-Kutta methods -- 4.3 Systems of equations and zero-seeking -- 4.3.1 Zeros of a function using the Newton method -- 4.3.2 Roots of a polynomial with the Newton-Raphson method -- 4.3.3 Systems of nonlinear equations -- 4.4 Interpolation -- 4.4.1 Thiele's interpolation -- 4.4.2 Another decomposition in continuous fractions -- 4.4.3 Natural cubic splines -- 4.5 Solving of linear systems -- 4.5.1 Jacobi method -- 4.5.2 Relaxation method -- 4.5.3 Cholesky factorization.

Chapter 5: Speech Processing -- 5.1 A speech signal model -- 5.1.1 Overview -- 5.1.2 A typology of vocal sounds -- 5.1.3 The AR model of speech production -- 5.1.4 Compressing a speech signal -- 5.2 Dynamic Time Warping -- 5.2.1 The DTW algorithm -- 5.2.2 Examples of pathfinding rules -- 5.2.3 Cepstral coefficients -- 5.3 Modifying the duration of an audio signal -- 5.3.1 PSOLA -- 5.3.2 Phase vocoder -- 5.4 Eliminating the impulse noise -- 5.4.1 The signal model -- 5.4.2 Click detection -- 5.4.3 Restoration -- Chapter 6: Selected Topics -- 6.1 Tracking the cardiac rhythm of the fetus -- 6.1.1 Objectives -- 6.1.2 Separating the EKG signals -- 6.1.3 Estimating cardiac rhythms -- 6.2 Extracting the contour of a coin -- 6.3 Constrained optimization and Lagrange multipliers -- 6.3.1 Equality-constrained optimization -- 6.3.2 Quadratic problem with linear inequality constraints -- 6.3.3 Portfolio optimization -- 6.4 Principal Component Analysis (PCA) -- 6.4.1 Determining the principal components -- 6.4.2 2-Dimension PCA -- 6.4.3 Linear Discriminant Analysis -- 6.5 GPS positioning -- 6.6 The Viterbi algorithm -- Chapter 7: Hints and Solutions -- H1 Reminders on digital signal-processing -- H1.1 (DTMF signal processing) -- H2 Additional information on filtering -- H2.1 (Filter architecture) -- H2.2 (Parallel implementation of the FIR filtering) -- H2.3 (FFT filtering) -- H2.4 (Band-pass filter based on a comb filter) -- H3 Image Processing -- H3.1 (Projection onto a screen) -- H4 Numerical calculus -- H4.1 (Full-wave rectifier and simulation) -- H4.2 (Simulation in the presence of a ZOH) -- H4.3 (Non-minimal system) -- H4.4 (RK-2 solver and ode15i function) -- H4.5 (Newton's method) -- H4.6 (Newton-Raphson method) -- H4.7 (Plot of a natural cubic spline) -- H4.8 (Relaxation method) -- H4.9 (Cholesky factorization) -- H5 Speech processing.

H5.1 (Compression of a speech signal) -- H5.2 (DTW) -- H5.3 (DTW word recognition) -- H5.4 (PSOLA) -- H5.5 (Hann window) -- H5.6 (Phase vocoder) -- H5.7 (Detecting impulse clicks) -- H5.8 (Restoring "missing values") -- H6 Selected topics -- H6.1 (Contour ellipse: the least squares method) -- H6.2 (Contour ellipse: the covariance method) -- H6.3 (Optimization of a portfolio with two assets) -- H6.4 (Negative correlation) -- H6.5 (Optimization of a portfolio) -- H6.6 (Face recognition) -- H6.7 (GPS location) -- Chapter 8: Appendix -- A1 A few properties of a matrix -- A2 A few relations for matrices -- Bibliography -- Index.