PRIMARY AND SECONDARY SUPERRESOLUTION BY DATA INVERSION (PREPRINT)

Transcription

1 AFRL-DE-PS-JA AFRL-DE-PS-JA PRIMARY AND SECONDARY SUPERRESOLUTION BY DATA INVERSION (PREPRINT) Charles Matson David W. Tyler 6 June 2005 Journal Article APPROVED FOR PUBLIC RELEASE; DISTRIBUTION IS UNLIMITED. AIR FORCE RESEARCH LABORATORY Directed Energy Directorate 3550 Aberdeen Ave SE AIR FORCE MATERIEL COMMAND KIRTLAND AIR FORCE BASE, NM

2 REPORT DOCUMENTATION PAGE Form Approved OMB No Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports ( ), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. 1. REPORT DATE (DD-MM-YYYY) 2. REPORT TYPE 3. DATES COVERED (From To) Dec-5-01 to Sep Jun-05 Journal Article 4. TITLE AND SUBTITLE 5a. CONTRACT NUMBER F D-0083 TO 06 Primary and Secondary Superresolution by Data Inversion (Preprint) 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 69120G 6. AUTHOR(S) 5d. PROJECT NUMBER 2304 Charles L. Matson, David W. Tyler 5e. TASK NUMBER B3 5f. WORK UNIT NUMBER AA 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION REPORT NUMBER ARFL/DESA 3550 Aberdeen Ave. SE Kirtland AFB, NM SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR S ACRONYM(S) AIR FORCE RESEARCH LABORATORY 3550 Aberdeen Ave. SE Kirtland AFB, NM DISTRIBUTION / AVAILABILITY STATEMENT Approved for Public Release; Distribution is Unlimited. AFRL/DESA 11. SPONSOR/MONITOR S REPORT NUMBER(S) AFRL-DE-PS-JA SUPPLEMENTARY NOTES Submitted for publication in Optics Express 14, pp (2005), by Optical Society of America. GOVERNMENT PURPOSE RIGHTS 14. ABSTRACT Superresolution by data inversion is the extrapolation of measured Fourier data to regions outside the measurement bandwidth using postprocessing techniques. Here we characterize superresolution by data inversion for objects with finite support using the twin concepts of primary and secondary supperresolution, where primary superresolution is the essentially unbiased portion of the superresolution data and secondary superresolution is the remainder. We show that this partition of superresolution into primary and secondary components can be used to explain why some researchers believe that meaningful superresloution is achievable with realistic signal-to-nose ratios, and other researchers do not. 15. SUBJECT TERMS 16. SECURITY CLASSIFICATION OF: 17. LIMITATION OF ABSTRACT a. REPORT Unclassified b. ABSTRACT Unclassified 18. NUMBER OF PAGES c. THIS PAGE Unclassified SAR 20 19a. NAME OF RESPONSIBLE PERSON Charles Matson 19b. TELEPHONE NUMBER (include area code) Standard Form 298 (Rev. 8-98) Prescribed by ANSI Std

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