Geodesic
Synthesis of the parameters of multi-dimensional multi-rate systems. Multidimensional fractional delay filters
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 2, pp. 219-238.

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The problem of multi-dimensional multi-rate systems design by application of a lifting technique is considered. In order to solve it, it is proposed to apply the design method of multidimensional digital filters with a fractional delay. A symmetric structure is given for $\tau=(1/2,1/2)$, as well as a new structure based on application of the multidimensional Taylor series. The impulse and the frequency responses are given for the filters with a fractional space delay, their $L_2$ norm being found. 
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M. K. Tchobanou. Synthesis of the parameters of multi-dimensional multi-rate systems. Multidimensional fractional delay filters. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 2, pp. 219-238. http://geodesic.mathdoc.fr/item/SJVM_2008_11_2_a7/

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