Constrained signal reconstruction from wavelet transform coefficients

Conference · Tue Jan 01 04:00:00 EST 1991

OSTI ID:5813168

Brislawn, C M

A new method is introduced for reconstructing a signal from an incomplete sampling of its Discrete Wavelet Transform (DWT). The algorithm yields a minimum-norm estimate satisfying a priori upper and lower bounds on the signal. The method is based on a finite-dimensional representation theory for minimum-norm estimates of bounded signals developed by R.E. Cole. Cole's work has its origins in earlier techniques of maximum-entropy spectral estimation due to Lang and McClellan, which were adapted by Steinhardt, Goodrich and Roberts for minimum-norm spectral estimation. Cole's extension of their work provides a representation for minimum-norm estimates of a class of generalized transforms in terms of general correlation data (not just DFT's of autocorrelation lags, as in spectral estimation). One virtue of this great generality is that it includes the inverse DWT. 20 refs.

• Research Organization: Los Alamos National Lab., NM (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5813168
• Report Number(s): LA-UR-92-45; CONF-920354--4; ON: DE92007423
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
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ALGORITHMS
ELECTRIC FILTERS
FILTERS
IMAGE PROCESSING
MATHEMATICAL LOGIC
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