Optical Acquisition, Image and Data Compression.
Annual technical rept. 1 Mar 83-30 May 84,
CITY COLL NEW YORK DEPT OF ELECTRICAL ENGINEERING
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This report deals with the phase estimation of low-time-bandwidth product TBP signals. Phase and frequency of a signal is estimated for short observation time. The observation time or the spectral bandwidth is limited to the superresolving regime where the TBP is near unity. Two classes of signal estimation are presented. Superresolving frequency estimation is performed where the sinusoidal signals are buried in deep white Gaussian noise. Constrained optimization techniques, using linear programming are used to estimate the location of the spectral peaks of the sinusoidal signals. Time and frequency limited Hilbert transform analysis is used to reconstruct the phase from the amplitude, and the amplitude from the phase of a complex signal. In addition, three smoothing methods a mathematical filtering method, a correction factor method, and a method of spectral partitioning, are used to improve the phaseamplitude estimate of the complex signal. Author
- Optical Detection and Detectors