Transforms of discrete-time signals:

• Discrete-time Fourier Transform (DTFT)

• Discrete Fourier-Transform (DFT), Fast Fourier Transform (FFT)

• Z-Transform

Correspondence of continuous-time and discrete-time signals, sampling, sampling theorem

Fast convolution, Overlap-Add-Method, Overlap-Save-Method

Fundamental structures and basic types of digital filters

Characterization of digital filters using pole-zero plots, important properties of digital filters

Quantization effects

Design of linear-phase filters

Fundamentals of stochastic signal processing and adaptive filters

• MMSE criterion

• Wiener Filter

• LMS- and RLS-algorithm

Traditional and parametric methods of spectrum estimation