5 September 2000 Electronic bandwidth effects on the DITP photon counting direct-detection laser radar receiver
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The number of photons returning from a target in a given time interval is a negative-binomially distributed random variable. The resulting detected photon 'electron pulses' produced by a photomultiplier tube (PMT) photon-counting detector are also negative-binomially distributed per time bin with a reduced mean. These time distributed electron pulses are amplified and filtered by the receiver electronics, prior to digitization and signal processing. The voltage output pulse per individual photo-electron event is known as the 'impulse-response- function' of the detector and amplifier. The random summation of these voltage impulse-responses, as created by the negative-binomial photon arrival times and photo-electron creation, is the classical electronic 'shot-noise' random process. We derive the voltage probability density function of this 'negative-binomial driven shot-noise' random process following the stochastic process literature. We also show a technique to include PMT variations in gain, known as the 'pulse height distribution,' and also to incorporate Gaussian baseline-noise voltage. Agreement with several experiments is shown to be excellent.
© (2000) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Douglas G. Youmans, Douglas G. Youmans, George A. Hart, George A. Hart, "Electronic bandwidth effects on the DITP photon counting direct-detection laser radar receiver", Proc. SPIE 4035, Laser Radar Technology and Applications V, (5 September 2000); doi: 10.1117/12.397803; https://doi.org/10.1117/12.397803


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