Systemen en Signalen

This course covers the following topics:

Systems and signals in continuous and discrete time; Basic deterministic signals; Convolution and properties of LTI systems; Fourier series and Fourier transforms with their properties; Filters in theory and practice: first- and second-order DE, Butterworth filters, Gaussian derivative filters; the estimation of spectra in a time window and the associated uncertainty relation; the DFT and FFT as practical tools; introduction to 2D Fourier transforms; modulation and demodulation techniques; the analytic signal and Hilbert transforms; sampling (Nyquist theorem), aliasing and reconstruction; laplace and Z-transforms with their ROC and properties; feedback systems and associated stability determination.