Title :
Sampled Signal Reconstruction Via H2Optimization
Author :
Meinsma, Gjerrit ; Mirkin, Leonid
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede
Abstract :
In this paper the sampled signal reconstruction problem is formulated and solved as the sampled-data H2 smoothing problem, in which an analog reconstruction error is minimized. Both infinite (non-causal reconstructors) and finite (reconstructors with relaxed causality) preview cases are considered. The optimal reconstructors are in the form of the cascade of a discrete-time smoother and a generalized hold (interpolator). In the particular case of reconstructing polynomial signals with infinite preview, the proposed procedure recovers the cardinal B-spline reconstructors
Keywords :
signal reconstruction; signal sampling; smoothing methods; splines (mathematics); H2 optimization; analog reconstruction error minimization; cardinal B-spline reconstructors; discrete-time smoother; polynomial signals; sampled signal reconstruction problem; sampled-data H2 smoothing problem; Bandwidth; Circuits; Delay; Digital filters; Hydrogen; Polynomials; Signal design; Signal reconstruction; Spline; White noise;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location :
Toulouse
Print_ISBN :
1-4244-0469-X
DOI :
10.1109/ICASSP.2006.1660666
