Reconstruction from nonuniform data using the energy reduction, the steepest descent, and the contraction mapping method
- Creators
- Park, Yongwan
- Others:
- Acharya, Raj S.
- Goldgof, Dmitry B.
Abstract
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.
Additional Information
© 1993 Society of Photo-Optical Instrumentation Engineers (SPIE). 29 July 1993.Attached Files
Published - 997_1.pdf
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Additional details
- Eprint ID
- 81606
- Resolver ID
- CaltechAUTHORS:20170920-084527561
- Created
-
2017-09-20Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Series Name
- Proceedings of SPIE
- Series Volume or Issue Number
- 1905