• Transform Analysis of Linear Time-Invariant Systems: Frequency Response Components, All-Pass Filters, Minimum-Phase Systems.
• IIR Filter Design: Approximation of Differential Equation, Impulse and Step Invariance Design, Bilinear Transformation.
• IIR Filter Structures: Noncanonical and Canonical Direct Form, Transposed Direct Form, Parallel Form, Cascade Form. Finite Precision Numerical Effects.
• FIR Filter Design Techniques: Fourier Approximation, Windowing, Optimum Equiripple Approximation.
• Discrete Fourier Transform (DFT): Linear and Circular Convolution, Fast Fourier Transform (FFT) Algorithms.
• Multirate Processing: Downsampling, Decimation Filter, Upsampling, Interpolation Filter.
• Adaptive Signal Processing: Configuration in different Applications, Optimum Filter, Least-Mean-Squares Algorithm.

Oppenheim, Alan V.; Schafer, Ronald W.: Discrete-Time Signal Processing. Pearson, 2013.

Experiment 1: Matlab Onboarding
- Design of an amplitude modulation system in Matlab
- Visualization of effects of its modules
- Description of effects of its modules

Experiment 2: Infinite Impulse Response (IIR-) Filters
- Analysis of IIR filters
- Approximation methods for time-continuous filter (Butterworth, Chebyshev, Elliptic)
- Filter design using the Bilinear Transform with Matlab Filter Designer (lowpass and bandpass filters)

Experiment 3: Finite Impulse Response (FIR-) Filters
- Filter Design Using the Fourier Approximation
- Modification by Using Window Functions
- Optimum Design (Parks-McClellan-Algorithm)
- Finite Precision Effects
- Design of Hilbert Filters (Wideband Phase Shifters)

User guides for experiments are provided