Fractional Transforms for S-Method and SAR Modeling
An application of Fraction Fourier Transform is in the study of stochastic signals. In particular we observe speckles of imaging points from a SAR mapping over an annular ring. The model has eight targets arranged in a circular ring with a radius of 10 meters with a secondary ring at 50 meters. There is a center target of which an aircraft approaches. As such the signatures of both the aircraft and the speckles can at times be hard to distinguish, especially if the SAR imaging is smeared. We propose the fractional Fourier Transform as an alternative to standard Fourier Transform to filter the noisy signals and take consideration to smearing. As such we were able to isolate the signals of the targets, speckles, and aircraft. Also we see the S-method for matrix representation of signal can be incorporated with the Fratcional Fourier Transform as to generalizing the monostatic SAR model for one aircraft and a set of speckles and or targets.
Date and Time
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- Date: 23 Feb 2024
- Time: 03:00 PM to 04:00 PM
- All times are (UTC-05:00) Eastern Time (US & Canada)
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timothy.wolfe@afit.edu
tswolfe@ieee.org
- Co-sponsored by Wright-Patt Multi-Intelligence Development Consortium (WPMDC), The DOD & DOE Communities
Speakers
Ernest of AFRL/RYMS
Fractional Transforms for S-Method and SAR Modeling
An application of Fraction Fourier Transform is in the study of stochastic signals. In particular we observe speckles of imaging points from a SAR mapping over an annular ring. The model has eight targets arranged in a circular ring with a radius of 10 meters with a secondary ring at 50 meters. There is a center target of which an aircraft approaches. As such the signatures of both the aircraft and the speckles can at times be hard to distinguish, especially if the SAR imaging is smeared. We propose the fractional Fourier Transform as an alternative to standard Fourier Transform to filter the noisy signals and take consideration to smearing. As such we were able to isolate the signals of the targets, speckles, and aircraft. Also we see the S-method for matrix representation of signal can be incorporated with the Fratcional Fourier Transform as to generalizing the monostatic SAR model for one aircraft and a set of speckles and or targets.
Biography:
Ernest Mitchell is currently enrolled in the Radar Certification program at University of Dayton. Among Ernest Mitchell recent projects is a code conversion of a library of MATLAB code to Python as to argue for cost saving in using Python in analyzing DMTI models. Specialty in RYMS include operator theory and fraction integral transforms for SAR imaging and target acquisition.
Agenda
An application of Fraction Fourier Transform is in the study of stochastic signals. In particular we observe speckles of imaging points from a SAR mapping over an annular ring. The model has eight targets arranged in a circular ring with a radius of 10 meters with a secondary ring at 50 meters. There is a center target of which an aircraft approaches. As such the signatures of both the aircraft and the speckles can at times be hard to distinguish, especially if the SAR imaging is smeared. We propose the fractional Fourier Transform as an alternative to standard Fourier Transform to filter the noisy signals and take consideration to smearing. As such we were able to isolate the signals of the targets, speckles, and aircraft. Also we see the S-method for matrix representation of signal can be incorporated with the Fratcional Fourier Transform as to generalizing the monostatic SAR model for one aircraft and a set of speckles and or targets.
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