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A Design Method for 3Dimensional BandLimiting FIR Filters Using McClellan Transfromation
Toshiyuki YOSHIDA Akinori NISHIHARA Nobuo FUJII
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E76A
No.8
pp.12831292 Publication Date: 1993/08/25 Online ISSN:
DOI: Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section of Papers Selected from the 7th Digital Signal Processing Symposium) Category: Multidimensional Signal Processing Keyword: digital signal processing, FIR filters, bandlimiting filters, multidimensional filters, McClellan transformation,
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Summary:
In multidimensional signal sampling, the orthogonal sampling scheme is the simplest one and is employed in various applications, while a nonorthogonal sampling scheme is its alternative candidate. The latter sampling scheme is used mainly in application where the reduction of the sampling rate is important. In threedimensional (3D) signal processing, there are two typical sampling schemes which belong to the nonorthogonal samplings; one is facecentered cubic sampling (FCCS) and the other is bodycentered cubic sampling (BCCS). This paper proposes a new design method for 3D bandlimiting FIR filters required for such nonorthogonal sampling schemes. The proposed method employs the McClellan transformation technique. Unlike the usual 3D McClellan transformation, however, the proposed design method uses 2D prototype filters and 2D transformation filters to obtain 3D FIR filters. First, 3D general sampling theory is discussed and the two types of typical nonorthogonal sampling schemes, FCCS and BCCS, are explained. Then, the proposed design method of 3D bandlimiting filters for these sampling schemes is explained and an effective implementation of the designed filters is discussed briefly. Finally, design examples are given and the proposed method is compared with other method to show the effectiveness of our methos.

