A. Bastys "Digital signal processing, II"

Catalog description:

Image processing, time-frequency and wavelet analysis, multiresolution analysis, transform coding.

Current Text:

Stephane Mallat, A wavelet tour of signal processing, Academic-Press, 1998.

Additional Reference:

A. M. Montvila, Skaitmeninis signalø apdorojimas, Vilnius, Technika, 1994.

Goals:

The students should learn the theory and practice of main topics of two-dimensional digital signal processing. They also should show practical ability to rotate, change scale, zoom, smooth, filter; to obtain time-scale and time-frequency representation of data; to choose appropriate transform for data information compressing.

Content:

• Sampling;
• color theory;
• integral and discrete orthogonal transforms;
• time-invariant filtering;
• time-scale and time-frequency data representation;
• image multiresolution analysis;
• fractal sets and self-similar functions;
• wavelet bases and transforms;
• wavelet packet and local cosine bases;
• approximation of digital signals;
• optimal filtering;
• embedded transform coding;
• fractal images.

Required Background:

Course of mathematical analysis, linear algebra, introduction to probability theory, programming.