Some properties of multidimensional sampling rate conversion
D.S.R. Gunawardena, Ahmet Hamdi Kayran, Robert A. King · Electronics Letters · 1982
In this letter it is shown that sampling rate conversion—either interpolation or decimation—of multidimensional digital signals can be realised merely by the use of one-dimensional filter design techniques. It is then proved that multidimensional rate conversion can be performed on a dimension-by-dimension basis, leading to the establishment of its commutative and associative properties.