Analog and Digital Signal Analysis: From Basics to Applications

Notions on Systems.- First and Second Order Systems.- Fourier Series.- The Dirac Distribution.- Fourier Transform.- Fourier Transform and LTI Filter Systems.- Fourier Transforms and Convolution Calculations.- Impulse Response of LTI Systems.-Laplace Transform.- Analog Filters.- Causal Signals - Analytic Signals.- Time-Frequency Analysis.- Notions On Digital Signals.-Discrete Systems - Moving Average Systems.-Z -Transform.- Fourier Transform Of Digital Signals.- Autoregressive Systems (Ar) - Arma Systems.- Minimum Phase Systems; Deconvolution.- Wavelets; Multiresolution Analysis.- Parametric Estimation - Modelisation Of Deterministic Signals - Linear Prediction.- Random Signals - Statistics Basis.- Multiple Random Variables- Linear Regression - Maximum Likelihood Estimation.- Correlation And Covariance Matrices Of A Complex Random Vector.-Correlation Functions - Power Spectral Densites Of Random Signals.- Ergodicity; Temporal And Spectral Estimations.- Parametric Modeling Of Random Signals.-Optimal Filtering -Wiener, Kalman, Filters.- Appendix 1. Appendix 2.- Appendix 3.- Bibliography.- Index.