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Application of CAF Projections and Slices

 

Projections and Slices of the Cross-Ambiguity Function (CAF) can be exploited in many ways.  Here we briefly present three methods for detection of targets:

 

I   Dual Projection - Method to extract targets from CAF with high range and Doppler resolution.  Perform projections of the CAF at two unique projection angles.  Then back project the peaks from both projection axis back to the point of intersection in CAF space.  The projection angles are selected in coordination with waveform design so as to maximize detection performance.


II   Projection / Slice - Method to extract targets from CAF with high range and Doppler resolution.  First detect the CAF peak by use of a Projection operation at an angle chosen to optimize probability of detection.  Then perform a Slice operation across the CAF for high resolution verification of the target, at an angle orthogonal to the projection and intersecting the projection peak.  The Projection and Slice operations may be performed using the same radar waveform, or separate waveforms can be independently designed to optimize the detection and verification performance of each operation.

 

III   Dual Slice - Method to extract targets from CAF with high range and Doppler resolution.  First detect the CAF peak by using a Slice operation at a given angle that is optimized for high probability of detection of the target.  Then perform a second Slice operation across the CAF at an angle that is optimized for high resolution verification of the target.  The two Slice operations may be performed using the same radar waveform, or separate waveforms can be independently designed to optimize the detection and verification performance of each operation.  













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