Signals and Sampling

One- or multidimensional sampling of sensor information is the origin of natural- source digital multimedia signals. The methodologies of sampling have an eminent impact on any subsequent processing steps, including encoding and content analysis of signals. In particular for video signals, full understanding of sampling phenomena is one key to further improve compression technology. To introduce the conditions behind multi-dimensional sampling, this chapter starts by a general introduction to multi-dimensional coordinate systems and related dependencies in the Fourier spectral domain. This also includes aspects of geometric modifications and their impact on the properties of the spectrum.