NOAA plans to build a Geostationary Lightning Mapper (GLM) whose objectives are providing continuous, full-disk
lightning measurements for storm warning and science applications. Due to limited telemetry bandwidth, much of the
detection processing will be done autonomously.
Since the contractor is responsible for the autonomously generated output, which is detection reports - not images, we
took a design approach that did not stop with a signal to noise calculation but instead simultaneously considers the
effects of hardware configurations and algorithm choices. Key requirements for GLM are the probability of detection
(PD) and probability of false alarm (PFA). Our approach allows us to provide a system with the best PD and PFA
performance and the best value. We have accomplished this by developing an analytical model that can find "knees-in-the
curve" in our hardware configuration selections and an algorithm prototype that provides realistic end-to-end
performance. These tools allow us to develop an optimal system since we have a good handle on realistic performance
prior to launch.
Our tools rely on descriptions of lightning phenomena embodied in probability densities we developed for the amplitude,
temporal and spatial distribution of lightning optical pulses. The "analytic model" uses tabulated integration formulae
and conventional numerical integration to implement an analytical solution for the PD estimate. The average PD is
quickly computed, making the analytic model the choice for rapid evaluation of sensor design parameter effects.
The "algorithm prototype" utilizes simulation, consisting of data cubes of time elapsed imagery containing lightning
pulses and structured backgrounds, and prototyped detection and false alarm mitigation algorithms to estimate PD and
PFA. This approach provides realistic performance by accounting for scene spatial structure and apparent motion.
We discuss the design and function of these tools and show results indicating the variation of PD and PFA performance
with changes in sensor and algorithm parameters and how we use these tools to improve our instrument design
capabilities.
KEYWORDS: Charge-coupled devices, Analog electronics, Sensors, Network on a chip, Signal processing, Capacitors, Interference (communication), Neodymium, CCD image sensors, Signal detection
This paper develops equations for the bias and random noise in the signal estimates from both non-frame transfer CCDs
and frame transfer CCDs having overclock rows that are used to estimate and eliminate the bias due to image smear.
The paper also reports on numerical experiment estimates of signal, bias, and random noise obtained from computer
simulation of the charge generation, charge transfer, and signal processing steps employed with these CCDs to obtain
signal estimates. The theoretical predictions of the exact equations are checked against the experimental results of the
simulation and found to be in close agreement.
Using the analytical formula, the magnitude of the smear bias in the signal estimate for a non frame transfer CCD is
compared to the magnitude of the true minimum signal for CCD operating parameters similar to the ones in a unique
Earth remote sensing application. The bias error due to smear is found to be huge, 1.3 times the magnitude of the true
signal. For the same operating conditions, the total random noises are compared for this CCD and one having overclock
rows to eliminate bias. The random noise of the frame transfer CCD with overclock rows is only 1 electron greater than
the random noise of the non frame transfer CCD. Thus, using the frame transfer CCD with overclock rows to eliminate bias, the additional random noise error incurred is minimal compared to the error from the eliminated bias.
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