Sumários SIGARRA

Introduction to Matlab, paper-and-pencil / Matlab exercises concerning discrete-time signals and systems: a review of the discrete-time convolution operation.

Shared discussion of an exercise dealing the probability density function of the amplitudes of deterministic and random discrete-time signals, and dealing with their auto-correlation function and underlying information. Getting started with the DSP Education kit: LUT-based Real-Time Sine Wave Generation). First laboratory quiz.

Lab experimentation and assessment using the STM32F7 on LUT-based sinusoidal waveform generation. Second laboratory quiz.

Exercise based on the sampling theorem applied to a combination (sum, multiplication, convolution) of signals. Laboratory experiments on sampling and reconstruction: understanding that filtering effects depend on the frequency response characteristics of the filter (either analog, or discrete-time), understanding the different components in a complete signal processing chain, understanding basic effects of sampling and reconstruction on sinusoidal, rectangular, triangular, and sawtooth waves. Second laboratory quiz.

Exercise on the implications in the discrete-time and Fourier domains of modifying the independent variable in the Z-domain to -Z, 1/Z, and Z2. Laboratory experimentation measuring the frequency response of a moving average filter that is implemented to run in real-time on the STM32F746G Discovery board using different (recursive and non-recursive) difference equations. Fourth laboratory quiz.

Exercise on sampling and reconstruction of signals where aliasing is admitted. Evaluation of the DMA operation and identification of its advantages and differences to interrupt-based transfer of individual samples. Implementation of spectral inversion and observation of the real-time impact with real-valued signals. Fifth laboratory quiz.

Discussion of exercises on the frequency-domain characterisation of FIR and IIR COMB filters in preparation for the lab experiments. Laboratory experimentation measuring the frequency response of FIR and IIR COMB filters. Sixth laboratory quiz.

Discussion of an exercise shows the relative influence of poles and zeros on the frequency response magnitude of a system.
Experimental determination of the frequency response of two 2nd-order IIR filters running in real-time on the STM32F746G Discovery board: an All-Pole filter, and an All-Pass filter. Seventh laboratory quiz.