From the ground up.--
Examples of signal processing applications.--
Implementation of digital signal por
Continuous or discrete?.--
Complex or real?.--
Soft introduction to MATLAB.--
Theory and applications of continuous-time Signals and systems.--
Continuous-time signals.--
Clasification of time-dependent signals.--
Continuous-time signals.--
Representation of continuous-time signals using basic signals.--
Time scaling. Modulation, Windowing and integration.--
Special signals - the sampling and the sinc signals.--
What have we acomplished? Where do we go from here?
Continuous-time systems.--
Systems concept and classification.--
Linear Time-Invariant (LTI) Continuous-time systems.--
The convolution integral.--
Causality.--
Bounded input-Bounded output stability.--
Wath have we accomplished? Where do we go from here?.--
The laplace transform.--
The two-sided laplace transform.--
The one-sided laplace transform.--
Properties of the-sided laplace transform.--
Inverse laplace transform.--
The transfer function of LTI systems.--
Analysis of LTI systems represented by differential equiations.--
Inverse of two-sided laplace transforms.--
What have we accomplished? Where Do we Go from here?.--
Frequency analysis: the fourier series.--
Eigenfunctions revisited.--
Complex exponential fourier series.--
Response of LTI systems to periodic signals.--
Operations using fourier series.--
What have we accomplished? Where do we go from here?.--
Frequency analysis: the fourier transform.--
From the fourier series to the fourier transform.--
Existence of the fourier transform.--
Fourier transforms from the laplace transform.--
Linearity, inverse proportionality and duality.--
Spectral representation.--
Convolution and filtering.--
Additional properties.--
What have we accomplished? What is next?.--
Application of Laplace anaalysis to control.--


Fourier analysis in comunications and filtering.-- Theory and applications of discrete-time.-- Sampling theory.-- Discrete-time signals ans systems.-- The Z-transform.-- Discrete feourier analysis.-- Introduction to the design of discrete filters.-- Useful formulas