Course: Foundations of Signals and Systems: Analyse and Process Digital Signals

Solved exercises and homework assignment on: Difference equations Solving difference equations by use of the Z transform is a fundamental requirement of this course. You need to fully memorise the …

Solved exercises and homework assignment on: Differential equations Solving differential equations by use of the Laplace transform is a fundamental requirement of this course. You need to fully memorise the …

Solved exercises and homework assignment on: The unilateral Laplace transform Through the properties of the Laplace transform we can easily calculate the causal counterpart to any rational expression of the …

Solved exercises and homework assignment on: The Laplace transform Deriving the Laplace transform through its forward rule is a fundamental requirement of this course. You need to fully memorise the …

Homework assignment on: ECG signal processing in MatLab Observe the outcome of quasi-periodic signals like the ECG signal displaying spectral lines! Try estimating its period from the Fourier domain. Practice …

Solved exercises and homework assignment on: Fourier transform in MatLab Get acquainted with MatLab Fourier operators (fft) and (fftshift) and learn how to correctly calculate Fourier transforms. Check that you …

Solved exercises and homework assignment on: Shannon’s sampling theorem Shannon’s Sampling Theorem and the general concept of sampling and interpolation are key tools in signal processing that must be well …

Solved exercises and homework assignment on: Filters in the Fourier domain (part 2) Through the Fourier transform approach we can ease the understanding and calculation of a filtering operation. Carry …

Solved exercises and homework assignment on: Relations among Fourier transforms (part 2) Evaluating the discrete-time Fourier transform from a Fourier transform pair can be a much easier way of calculating …

Homework assignment on: Wrap-up on Fourier transforms Try memorising the similarities among Fourier transforms at your best, since this can ease your understanding. Solve some review exercises to check your …

Solved exercises and homework assignment on: The discrete-time Fourier transform The discrete-time Fourier transform is evidently closely linked to the Fourier series, with similar properties and signal pairs. However, these …

Solved exercises and homework assignment on: Filters in the Fourier domain Through the Fourier transform approach we can ease the understanding and calculation of a filtering operation in continuous-time. Carry …

Solved exercises and homework assignment on: Relations among Fourier transforms Evaluating the Fourier series or the DFT coefficients from a Fourier transform pair can be a much easier way of …

Solved exercises and homework assignment on: Fourier transform (part 2 – properties) Through the properties of the Fourier transform we can ease the calculation for a large variety of signals, …

Solved exercises and homework assignment on: Fourier transform (part 1) Deriving the Fourier transform or evaluating the signal shape through the inverse Fourier transform is a fundamental requirement of this …