Discrete Fourier Transform
This lecture overviews Discrete Fourier Transform that has many applications in digital signal processing and analysis and in power spectrum estimation.
Laplace Transform
This lecture presents Laplace Transform (LT) and its region of convergence. Its relation to Laplace transform is presented. Notable LT properties are reviewed: time shift, convolution, signal differentiation/integration.
Signal Sampling
This lecture overviews Signal Sampling that has many applications in signal acquisition, processing and analysis.
Z Transform
This lecture overviews Z Transform that has many applications in signal processing and systems theory.
Continuous-time Signals and Systems
This lecture overviews continuous-time Signals and Systems topics. Continuous-time signals are presented: periodic signals, delta function, unit step signal, exponential signal, trigonometric signals, complex exponential signal.
Probability Theory
This lecture overviews Probability Theory that has many applications in a multitude of scientific and engineering disciplines, notably in Pattern Recognition and Machine Learning. It covers the following topics in detail: