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Causal Cubic Splines: Formulations, Interpolation Properties and Implementations (CROSBI ID 143660)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Petrinović, Davor Causal Cubic Splines: Formulations, Interpolation Properties and Implementations // IEEE transactions on signal processing, 56 (2008), 11; 5442-5453. doi: 10.1109/TSP.2008.929133

Podaci o odgovornosti

Petrinović, Davor

engleski

Causal Cubic Splines: Formulations, Interpolation Properties and Implementations

The paper presents two formulations of causal cubic splines with equidistant knots. Both are based on a causal direct B-spline filter with parallel or cascade implementation. In either implementation, the causal part of the impulse response is realized with an efficient IIR structure, while only the anti-causal part is approximated with a finite order FIR filter. Resulting cubic coefficients are computed from the causal B-spline coefficients by using a third order output FIR filter with either SIMO or MIMO structure, depending on the chosen formulation of the cubic spline. The paper demonstrates and proves that the properties of the resulting causal splines are quite different, whether they are based on a more popular B-spline formulation, or a bit neglected tridiagonal matrix formulation. It is shown that the proposed low-complexity but accurate causal interpolators can be realized for many practical applications with the delay of only a few samples.

Causality; Interpolation; Signal reconstruction; Signal resampling; Spline functions

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Podaci o izdanju

56 (11)

2008.

5442-5453

objavljeno

1053-587X

10.1109/TSP.2008.929133

Povezanost rada

Elektrotehnika, Računarstvo, Matematika

Poveznice
Indeksiranost