Title :
Fractional biorthogonal partners and application in signal interpolation
Author :
Vrcelj, Bojan ; Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., Caltech, Pasadena, CA, USA
fDate :
6/24/1905 12:00:00 AM
Abstract :
The concept of biorthogonal partners has been introduced recently by the authors. The work presented in this paper is an extension of some of these results to the case where the upsampling and downsampling ratios are not integers but rational numbers. Hence the name fractional biorthogonal partners. The conditions for the existence of stable and of FIR fractional biorthogonal partners are derived. This result gives rise to an all-FIR spline interpolation technique with the minimum amount of required oversampling. This technique is illustrated by an interpolation example.
Keywords :
filtering theory; interpolation; signal sampling; splines (mathematics); FIR partners; all-FIR spline interpolation technique; downsampling ratios; fractional biorthogonal partners; interpolation example; rational numbers; signal interpolation; stable partners; upsampling ratios; Equalizers; Filtering; Finite impulse response filter; Image reconstruction; Interpolation; Propulsion; Sampling methods; Spline; Transfer functions; USA Councils;
Conference_Titel :
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN :
0-7803-7448-7
DOI :
10.1109/ISCAS.2002.1010375