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Multidimensional signal processing (MDSP) is the extension to conventional signals and systems to multiple dimensions. The theoretical treatment of multidimensional systems is important for broad areas such as image/video processing, array processing, biomedical imaging, radio-astronomy, space imaging, radar imaging, and multimedia signal processing. MDSP is typically realized in circuitry using analog, digital and mixed-signal devices. The teaching of MDSP theory is typically attempted at the graduate level where students build on fundamentals of digital and analog signal processing and filter design, which they learn as part of standard undergraduate material. An advanced graduate course is described that covers both theory and circuit realization of MDSP algorithms, aimed at the entry-level graduate student audience. The course overview and summarized inventory of concepts is provided. The teaching philosophy and our vision of combined approach to research and teaching and the transfer of scientific findings from research program to mainstream education is discussed. Our combined experience at the University of Akron and University of Calgary is shared for benefit of the circuits and systems community.