Linear stochastic systems
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A biologically inspired compound-eye detector array part II: Statistical performance analysis
IEEE Transactions on Signal Processing
Detection of particle sources with directional detector arrays and a mean-difference test
IEEE Transactions on Signal Processing
Performance bounds for estimating vector systems
IEEE Transactions on Signal Processing
A biologically inspired compound-eye detector array part II: Statistical performance analysis
IEEE Transactions on Signal Processing
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This is the first part of a two-part paper. In this paper, we propose detector array for detecting and localizing sources that emit particles including photons, neutrons, or charged particles. The array consists of multiple "eyelets." Each eyelet has a conical module with a lens on its top and an inner subarray containing mulitple particle detectors. The array configuration is inspired by generalizes the biological compound eye: it is spherically sha and bas a larger number of detectors in each individual eyele Potential applications of this, biomimetic array include artificial vision medicine (e.g., artificial eyes for the blind) or robotics (e.g., for indnstry or space missions), astronomy and astrophysics, security (e.g., for radioactive materials), and particle communications. In this part, we assume Poisson distribution for each detector's measurement within the observation time wiridow. Then we construct ageneral parametric model for the detection rate of the Poisson-distributed measurements illustrated by a circular Gaussian lens-shaping function (LSF) approximation, which is commonly used in optical and biological disciplines. To illutrate how this "prototype" model fits practical cases, we apply it to an example of localizing a candle from 20 miles away and estimating the parameters, under this circumstance. In addition, we also discuss the hardware setup and performance measure of the proposed array, as well as its fundamental constraints. Part I forms the theoretical basis for Part II, in which we analyze the performance of the array, both analytically and numerically.