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In this paper, the design of fractional delay (FD) filters using the Hermite interpolation is investigated. First, the transfer function of fixed FD filters is obtained from the Hermite interpolation formula by using variable substitution. Then, two implementation methods for the Hermite-based FD filters are presented. One is the derivative sampling scheme using an analog differentiator, the other is the Shannon sampling scheme with an auxiliary digital differentiator. Next, the proposed method is applied to design wide-range variable fractional delay (VFD) filters and some extensions are made. Finally, several numerical examples are demonstrated to show the effectiveness of the proposed Hermite interpolation design method.
Published in:
Circuits and Systems I: Regular Papers, IEEE Transactions on
(Volume:59
,
Issue:
7
)
Date of Publication: July 2012
- Page(s):
- 1458 - 1471
- ISSN :
- 1549-8328
- INSPEC Accession Number:
- 12817669
- Digital Object Identifier :
- 10.1109/TCSI.2011.2177136
- Product Type:
- Journals & Magazines
- Date of Publication :
- 16 January 2012
- Date of Current Version :
- 22 June 2012
- Issue Date :
- July 2012
- Sponsored by :
- IEEE Circuits and Systems Society
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