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Low-Complexity Design of 2-D Half-Band Filters

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Executive Summary

This paper presents an efficient method for designing Two-Dimensional (2-D) half-band digital filter using the Singular-Value-Decomposition (SVD). The SVD of zero-phase half-band frequency response generates a set of One-Dimensional (1- D) frequency responses which can be approximated using the cascade of a half-advance digital filter and a set of 1-D filters. The most important point is that each 1-D filter only requires a single multiplication to get an output sample, so the resulting whole 2-D half-band filter has considerably reduced computational complexity as compared with the existing direct design approach. One example is given to illustrate the effectiveness of the new cascaded structure.

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