Naslov
Causal Cubic Splines: Formulations, Interpolation Properties and Implementations

Autori
Petrinović, Davor

Izvornik
IEEE Transactions on Signal Processing (1053-587X) 56 (2008), 11; 5442-5453

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Elektrotehnika, Računarstvo

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