Optimum distortion-invariant filter for detecting a noisy distorted target in nonoverlapping background noise

Bahram Javidi; Jun Wang

doi:10.1117/12.242023

7 June 1996 Optimum distortion-invariant filter for detecting a noisy distorted target in nonoverlapping background noise

Bahram Javidi, Jun Wang

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Proceedings Volume 2751, Hybrid Image and Signal Processing V; (1996) https://doi.org/10.1117/12.242023
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

An optimal distortion-invariant filter for detecting a distorted target in input noise is designed. The input noise consists of two sources of noise, overlapping additive noise and non-overlapping background noise. We obtain the filter function by statistically maximizing the peak-to-energy ratio criterion, which is defined as the ratio of the expected value squared of the output signal at the target location to the expected value of the average output energy. This results in a filter output with a well defined output peak at the target location and low output noise floor. The filter is designed to take into account the effects of both overlapping additive noise and non-overlapping background noise, the finite size of the input data, and the target distortion. Computer simulation results are provided to show the performance of the filter.

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Bahram Javidi and Jun Wang "Optimum distortion-invariant filter for detecting a noisy distorted target in nonoverlapping background noise", Proc. SPIE 2751, Hybrid Image and Signal Processing V, (7 June 1996); https://doi.org/10.1117/12.242023

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KEYWORDS

Target detection

Distortion

Optimal filtering

Image filtering

3D acquisition

Computer simulations

Electronic filtering

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