Polynomial-based filters with odd number of polynomial segments for interpolation

In many signal processing applications, it is beneficial to use polynomial-based interpolation filters. Actual implementations of these filters can be performed effectively by using the Farrow structure or its modifications. In the literature only polynomial-based filters having even number of polyn...

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Bibliographic Details
Published in:IEEE signal processing letters 2004-02, Vol.11 (2), p.171-174
Main Authors: Babic, D., Shahed hagh ghadam, A., Renfors, M.
Format: Article
Language:English
Subjects:
Context
Filtering
Filters
Integers
Interpolation
Linearity
Optimization
Optimization methods
Polynomials
Sampling methods
Segments
Signal processing
Transceivers
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Summary:In many signal processing applications, it is beneficial to use polynomial-based interpolation filters. Actual implementations of these filters can be performed effectively by using the Farrow structure or its modifications. In the literature only polynomial-based filters having even number of polynomial pieces N have been considered. This letter presents a modification of the implementation form which allows realizing polynomial-based filters having an odd number of polynomial pieces. The condition that N must be even integer is not required any more. Further, a frequency-domain filter optimization method is developed, based on the methods for even-length filters. We illustrate through examples the performance of the odd-length polynomial-based filters.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2003.821681