Fractional Delay Filter Design Based on Truncated Lagrange Interpolation

A new design method for fractional delay filters based on truncating the impulse response of the Lagrange interpolation filter is presented. The truncated Lagrange fractional delay filter introduces a wider approximation bandwidth than the Lagrange filter. However, because of truncation, a ripple ca...

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Bibliographic Details
Published in:IEEE signal processing letters 2007-11, Vol.14 (11), p.816-819
Main Authors: Valimaki, V., Haghparast, A.
Format: Article
Language:English
Subjects:
Approximation
Bandwidth
Computational efficiency
Delay
Delay filters
Digital filters
finite impulse response (FIR) digital filters
Finite impulse response filter
Frequency response
Gibbs phenomenon
Impulse response
Interpolation
Lagrangian functions
Mathematical analysis
phase shifters
Polynomials
Prototypes
Ripples
Sampling methods
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Summary:A new design method for fractional delay filters based on truncating the impulse response of the Lagrange interpolation filter is presented. The truncated Lagrange fractional delay filter introduces a wider approximation bandwidth than the Lagrange filter. However, because of truncation, a ripple caused by the Gibbs phenomenon appears in the filter's frequency response. Proper choices of filter order and prototype filter order allow adjusting the overshoot to a desired level and simultaneously reducing the overall frequency-response error. The design of the proposed filter is computationally efficient, because it is based on polynomial formulas, which have common terms for all coefficients.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2007.898856