Digital Signal Processing

Sampling. Aliasing. Leakage. Quantization. Discrete-time systems and signals. Linear and circular convolution. DFT and FFT. DTFT and frequency response. Digital filters (FIR/IIR). z-transform. Introduction to adaptive filters, multi-rate signal processing and wavelets. Examples from communication systems, sound- and image processing.

Knowledge - The candidate shall be able to:

• Describe the sampling theorem and its implications in the frequency domain.
• Analyze discrete-time signals and systems.
• Describe the direct form I and II for FIR/IIR digital filters and transposed forms.
• Analyze digital filters in the z-domain and in the frequency domain.
• Know about adaptive filters, multi-rate signal processing and wavelets.

Skills - The candidate shall be able to:

• Calculate the linear and circular convolution of digital signals.
• Calculate the DTFT and DFT/IDFT of some basic signals.
• Design and analyze digital filters (FIR/IIR) using computational tools such as Matlab/Octave.

General competence - The candidate shall be able to:

• Know both Norwegian and English appropriate scientific expressions.

Lectures. Mandatory exercises.

The number of exercises is given at semester start. The mandatory activities must be delivered according to given deadlines and must be approved to be allowed to take the exam.