We introduce three iterative methods for reconstructing a band-limited function from its unevenly spaced sampled data. Each iterative method introduces its own varying coefficient which is adaptively determined at each iteration. A varying coefficient for the first algorithm is adaptively determined based on the error energy reduction of the signal. The second method, the method of steepest descent, determines a varying coefficient based on the error energy reduction of the unevenly spaced sampled data. Third, the contraction mapping method determines a varying coefficient based on the distance reduction of the estimated signals. The reconstructed signal from these algorithms converges to the desired signal if the basis functions, {exp(jwt_n)}, where {t_n} are the unevenly spaced sampling points, form a complete set in the signal subspace of the original signal.

Date Published: 29 July 1993
PDF: 12 pages
Proc. SPIE 1905, Biomedical Image Processing and Biomedical Visualization, (29 July 1993); doi: 10.1117/12.148612

Published in SPIE Proceedings Vol. 1905:
Biomedical Image Processing and Biomedical Visualization
Raj S. Acharya; Dmitry B. Goldgof, Editor(s)