Abstract:
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.
Key words:: non-separable multi-rate system, multi-dimensional Taylor series, multi-dimensional filter bank, fractional delay filter.
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