Infrared surveillance. 2: Continuous-time signal processors

Richard A. Steinberg

doi:10.1364/AO.19.001673

Applied Optics
Vol. 19,
Issue 10,
pp. 1673-1687
(1980)
•https://doi.org/10.1364/AO.19.001673

Infrared surveillance. 2: Continuous-time signal processors

Richard A. Steinberg

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Richard A. Steinberg, "Infrared surveillance. 2: Continuous-time signal processors," Appl. Opt. 19, 1673-1687 (1980)

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Abstract

A number of infrared passive surveillance receivers are analyzed with the theory developed in a previous paper. The specific problem of interest is the detection of low-contrast point source targets against high-contrast structured backgrounds. A new and promising approach to signal processing is proposed for minimizing background-induced false alarms while retaining maximum target detection sensitivity. We show that time-delay and integration detector technology may afford us excess detector sensitivity that we can intentionally sacrifice in the interest of enhanced performance against structured scenes.

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Corrections

Richard A. Steinberg, "Infrared surveillance. 2: Continuous-time signal processors; erratum," Appl. Opt. 19, 3426-3426 (1980)
https://opg.optica.org/ao/abstract.cfm?uri=ao-19-20-3426

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Signal processor (Fig.)	Mean video estimate ${\hat{m}}_{Y} (t)$
6	0
10	Y(t − T_d)
13	½[Y(t − T_d) + Y(t + T_d)]

Processor (Fig.)	Object size N	Bandwidth M	False alarm probability, $\| t / τ \| ⩽ 2$

			Nominal	Degraded
6	12.5	1	5.2 × 10⁻¹⁷	1.
10	12.5	1	3.2 × 10⁻⁸	1. × 10⁻⁵
	9.	1	2.3 × 10⁻⁸	6. × 10⁻²
	6.5	1	1.7 × 10⁻⁸	1.
13	9.	1	2.9 × 10⁻¹¹	9.3 × 10⁻⁹
	6.5	1	2.1 × 10⁻¹¹	7.0 × 10⁻³
	5.	1	1.6 × 10⁻¹¹	1.
13	5	4	6.4 × 10⁻¹¹	1.3 × 10⁻⁹
13	2.5	4	3.9 × 10⁻¹¹	8.2 × 10⁻²

Signal processor (Fig.)	Mean video estimate ${\hat{m}}_{Y} (t)$
6	0
10	Y(t − T_d)
13	½[Y(t − T_d) + Y(t + T_d)]

Processor (Fig.)	Object size N	Bandwidth M	False alarm probability, $\| t / τ \| ⩽ 2$

			Nominal	Degraded
6	12.5	1	5.2 × 10⁻¹⁷	1.
10	12.5	1	3.2 × 10⁻⁸	1. × 10⁻⁵
	9.	1	2.3 × 10⁻⁸	6. × 10⁻²
	6.5	1	1.7 × 10⁻⁸	1.
13	9.	1	2.9 × 10⁻¹¹	9.3 × 10⁻⁹
	6.5	1	2.1 × 10⁻¹¹	7.0 × 10⁻³
	5.	1	1.6 × 10⁻¹¹	1.
13	5	4	6.4 × 10⁻¹¹	1.3 × 10⁻⁹
13	2.5	4	3.9 × 10⁻¹¹	8.2 × 10⁻²

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Applied Optics