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.. - Springer eBooks. - Printed edition: 9783319423807