Abstract
This chapter builds upon established knowledge on one-dimensional signals and extends it to multiple dimensions. Indeed, many operations on multidimensional signals are similar to the one-dimensional case but there are new aspects and new possibilities. The presentation focusses on two-dimensional signals but the extension to three or more dimensions is highlighted where appropriate. Topics covered include multidimensional convolution and Fourier transformation, delta impulses in two and three dimensions, and multidimensional sampling.
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Notes
- 1.
Melencolia I (1514) by Albrecht Dürer (1417–1528), painter and printmaker in Nürnberg, Germany. In MATLAB available by load("durer.mat"); imshow(X,map) .
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Rabenstein, R., Schäfer, M. (2023). Multidimensional Signals. In: Multidimensional Signals and Systems. Springer, Cham. https://doi.org/10.1007/978-3-031-26514-3_5
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DOI: https://doi.org/10.1007/978-3-031-26514-3_5
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