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Abstract
In this paper a numerically efficient method for designing a nearly optimal variable fractional delay (VFD) filter based on a simple and well-known window method is presented. In the proposed method a single window extracted from the optimal filter with fixed fractional delay (FD) is divided into even and odd part. Subsequently, the odd part is discarded and symmetric even part of the extracted window is used to design a family of nearly optimal filters with varying FD. In addition to window extraction, the proposed approach requires filter gain correction which is dependent on the desired FD. Optimum values of the gain correction factor as well as the extracted window can be computed beforehand, which allows us to design a nearly optimal FD filter with arbitrary FD at low numerical costs during runtime. On the basis of the proposed filter design method, the universal structure of VFD filter allowing for change of filter type and length has been proposed. In the paper, three FD filter optimality criteria are considered, which are maximal flatness, Chebyshev (minimax), and least squares.
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00034-014-9803-8
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
no. 33,
edition 10,
pages 3223 - 3250,
ISSN: 0278-081X - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Blok M., Sac M.: Variable Fractional Delay Filter Design Using a Symmetric Window// CIRCUITS SYSTEMS AND SIGNAL PROCESSING. -Vol. 33, iss. 10 (2014), s.3223-3250
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s00034-014-9803-8
- Verified by:
- Gdańsk University of Technology
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