Efficient design of families of FIR filters by transformation

This paper introduces an efficient technique for designing a parameterized family of one- and multi-dimensional filters by regarding it as a single multi-dimensional filter. The new design technique is very fast since it reduces the design of a large set of filters to the design of a complex or real one-dimensional filter which is then mapped to produce the desired set of filters. It has the additional advantage that the one- and multi-dimensional filters in the set can be designed and realized efficiently without having to explicitly compute the coefficients of the separate filters. Among the types of filters which can be designed with this technique are seismic migration filters and linear-phase filters