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Interpolation filters for 2‐D hexagonally sampled signals
Author(s) -
Li Wenzhe,
Fettweis Alfred
Publication year - 1997
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(199707/08)25:4<259::aid-cta962>3.0.co;2-9
Subject(s) - interpolation (computer graphics) , mathematics , amplitude , algorithm , stairstep interpolation , prototype filter , digital filter , reconstruction filter , computer science , electronic engineering , multivariate interpolation , filter (signal processing) , bilinear interpolation , filter design , engineering , telecommunications , statistics , optics , root raised cosine filter , computer vision , physics , frame (networking)
This paper deals with the design of interpolation filters for 2‐D hexagonally sampled signals using multidimensional antimetric wave digital filters. Theoretically there are two essential schemes for the interpolation of hexagonally sampled signals, i.e. interpolations by factor 3 and by factor 4. We show that by exploiting some symmetry properties of the amplitude response, multidimensional antimetric filters are suitable for the design of interpolation filters in both cases. In particular, very efficient design can be obtained for the case of interpolation by factor 4, for which very low hardware cost is required for achieving satisfactory amplitude responses. The paper also compares the behaviours of the designed interpolation filters with those of circularly symmetric filters realized by cascading some antimetric filters. © 1997 John Wiley & Sons, Ltd.