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Intensity invariant nonlinear correlation filtering in spatially disjoint noise
Walid Ben Tara1, Henri H Arsenault, Pascuala García-Martínez
1Département de physique, génie physique et optique, Université Laval, Ste-Foy, Quebec G1K 7P4, Canada.
The Locally Adaptive Contrast Invariant Filter enhances signal detection in noisy environments. This nonlinear correlation method improves the peak-to-sidelobe ratio (PSR) with increasing noise, unlike linear filters.
Area of Science:
- Signal Processing
- Image Analysis
- Pattern Recognition
Background:
- Traditional linear filtering methods struggle with spatially disjoint noise.
- Assessing filter performance under noise is crucial for reliable signal detection.
Purpose of the Study:
- To evaluate the performance of the Locally Adaptive Contrast Invariant Filter (LACIF) against spatially disjoint noise.
- To compare the LACIF's noise resilience with classical linear filtering techniques.
Main Methods:
- Analysis of nonlinear correlation performance using the peak-to-sidelobe ratio (PSR) metric.
- Experimental evaluation of the LACIF in the presence of varying levels of spatially disjoint noise.
- Comparison with a classical matched filter.
Main Results:
- The LACIF demonstrates improved peak-to-sidelobe ratio (PSR) as spatially disjoint noise intensity increases.
- In contrast, common linear filtering techniques show a decrease in PSR, approaching zero with increased noise.
- Experimental results validate the superior performance of the LACIF.
Conclusions:
- The Locally Adaptive Contrast Invariant Filter offers significant advantages over linear methods in handling spatially disjoint noise.
- The LACIF's ability to improve PSR with increasing noise makes it a robust tool for signal detection in challenging environments.
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