Portale di Ateneo - En.Unibs.it

Introduction
Course motivations and covered topics.Review of some useful basic concepts (systems, ...).

Z Transform
Definition and properties. Regions of Convergence. Poles and Zeros. Z transform
properties for causal, non causal and anti-causal sequences. Inverse Z transform.
Relationships between Z transform and DTFT.
ARMA system classification
Minimum phase filters. Linear phase filters. All-pass filters.

Basic structures for the implementation of FIR and IIR systems. Frequency
sampling. Effects of the quantization.

FIR and IIR filter design
FIR Filters. Sampling in frequency approach. Windowing of ideal filter impulse
response. Parks-Mc Clellan technique.
IIR Filters. Butterworth filters. Impulse invariance. Bilinear transformation.

Multirate signal processing
Decimation and interpolation of sequences. Poliphase implementation of FIR filters.

Non parametric spectral estimation
Sampling of a stochastic process. Non parametric spectral estimation. The
periodogram. Bartlett, Welch, Blackman-Tukey methods.
Implementation of discrete time systems

Conclusions
Concluding remarks and examples of practical applications.