Title
Discrete-time modeling of polynomial-based interpolation filters in rational sampling rate conversion
Abstract
If sampling rate conversion (SRC) is performed between arbitrary sampling rates, then the SRC factor can be a ratio of two very large integers or even an irrational number. An efficient way to reduce the implementation complexity of a SRC system in those cases is to use polynomial-based interpolation filters that mimic digitally the hybrid analogue/digital system. In practice, the sampling rate conversion is approximated with a rational factor. In this case, the hybrid analogue/digital model used to represent the SRC process may be represented by an equivalent discrete-time model. The discrete-time modeling of the rational SRC has been used earlier for the zeroth order interpolation. This paper extends this idea to arbitrary polynomial-based interpolation. Furthermore, this paper derives the relation between various polynomial-based interpolation filters (Farrow structure and its modifications) and polyphase FIR model filters. This paper observes possible applications of these relations, such as filter design, implementation complexity reduction, and response distortion analysis.
Year
DOI
Venue
2003
10.1109/ISCAS.2003.1205838
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium
Keywords
Field
DocType
FIR filters,computational complexity,digital filters,discrete time filters,frequency response,interpolation,signal sampling,Farrow structure,SRC factor,SRC process model,SRC system implementation complexity,arbitrary polynomial-based interpolation,discrete-time modeling,equivalent discrete-time model,filter design,hybrid analogue/digital system,irrational number,polynomial-based interpolation filters,polyphase FIR model filters,rational factor approximation,rational sampling rate conversion,response distortion analysis,sampling rates,zeroth order interpolation
Digital filter,Polynomial interpolation,Multivariate interpolation,Spline interpolation,Polynomial,Control theory,Interpolation,Electronic engineering,Linear interpolation,Mathematics,Filter design
Conference
Volume
ISBN
Citations 
4
0-7803-7761-3
6
PageRank 
References 
Authors
0.81
2
3
Name
Order
Citations
PageRank
Babic, D.1367.95
Vesa Lehtinen2104.34
Markku Renfors31173156.77