Course Contents 
During the course we discuss the basic principles of signal processing. Topics that will be discussed are harmonic signals, spectral representation, Fourier transforms, sampling and aliasing, FIR and IIR filters, convolutions, linear timeinvariant systems, frequency response, Ztransforms and spectral analysis.

Study Goals 
1. Spectrum representation keywords: sinusoids, complex exponentials, phasors, spectrum, Fourier series The student  is able to analyze the spectral content of a signal  is able to use phasor arithmetic 2. Sampling keywords: sampling theorem, sampling frequency, aliasing, folding, interpolation The student  is able to apply the sampling theorem  is able to understand the basic principles of sampling  is able to explain the effects of over and under sampling, i.e., aliasing and folding 3. Filtering keywords: impulse response, finite impulse response, infinite impulse response, linear systems, timeinvariant systems, convolution, frequency response, stability The student  is able to explain the effects of filtering on signals  is able to understand the basic properties of linear timeinvariant systems (impulse response, convolution)  is able to compute the frequency response of linear timeinvariant filters  is able to analyze stability of firstorder IIR systems 4. Signal transforms keywords: Ztransform, discrete Fourier transform, transfer function, poles, zeros The student  is able to compute the Ztransform of signals  is able to compute poles and zeros of transfer functions  is able to explain the relation between the transfer function and the frequency response  is able to understand the relation between poles/zeros and the frequency response  is able to compute the discrete Fourier transform
