Digital Filtering

15 abril 2008, 09:30 • Jorge Salvador Marques

FIR and IIR filters. Lowpass, highpass, bandpass and band reject filters. Ideal impulse responses. Why are the ideal fileters Filter specifications.

Discrete Fourier Transform

10 abril 2008, 11:00 • Jorge Salvador Marques

Linear filtering of long signals using the DFT. Overlap-add method.

Discrete Fourier transform: Properties

8 abril 2008, 09:30 • Jorge Salvador Marques

Properties of the DFT.

Discrete Fourier transform: Properties

3 abril 2008, 11:00 • Jorge Salvador Marques

Linearity. Symmetry of DFT coefficients in the case of real signals. Circular shift of finite length signals. DFT of a shifted signal. Circular convolution. Comparison with linear convolution. Exercises.

Discrete Fourier transform

1 abril 2008, 09:30 • Jorge Salvador Marques

Finite length signals. Vector space of finite length signals. Vector representation. Inner product. Orthogonal bases: canonic base, harmonic base. The representation of signals as a sum of harmonics. The discrete Fourier transform and its inverse. Fast algorithms.

Demo: analysis of ECG signals.