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A frequency-domain approach to polynomial-based interpolation and the Farrow structure

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1 Author(s)
Vesma, J. ; Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA

Interpolation filters are used to interpolate new sample values at arbitrary points between the existing discrete-time samples. One interesting class of these filters is the polynomial-based interpolation filters which can be efficiently implemented using the Farrow structure. This discrete-time filter structure has a time-varying impulse response. Therefore, it is usually modeled by a simple hybrid analog/digital (A/D) system which is based on the reconstruction of the continuous-time signal. In this work, an interesting frequency-domain relationship between the Farrow structure and the hybrid A/D model is derived. This result can be utilized to develop efficient design algorithms for polynomial-based interpolation filters

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:47 ,  Issue: 3 )