2006
DOI: 10.1364/ao.45.004437
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Estimating random errors due to shot noise in backscatter lidar observations

Abstract: In this paper, we discuss the estimation of random errors due to shot noise in backscatter lidar observations that use either photomultiplier tube (PMT) or avalanche photodiode (APD) detectors. The statistical characteristics of photodetection are reviewed, and photon count distributions of solar background signals and laser backscatter signals are examined using airborne lidar observations at 532 nm using a photon-counting mode APD. Both distributions appear to be Poisson, indicating that the arrival at the p… Show more

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Cited by 122 publications
(117 citation statements)
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“…Random uncertainties in β' par [unc par ] and β' perp [unc perp ] due to shot noise are computed using the noise scale factor (NSF) approach introduced by Liu et al (2006) and described in detail for the CALIOP system by Hostetler et al (2006). The uncertainties are scaled by the inverse square root of the product of: the number of 15-m vertical bins being averaged, which is 12 in the case of our fixed 180-m vertical resolution, and the number of 1/3-km horizontal resolution laser shots being 20 averaged, which ranges from 15 to 405 in our successive horizontal averaging scheme.…”
Section: Random Measurement Uncertaintiesmentioning
confidence: 99%
“…Random uncertainties in β' par [unc par ] and β' perp [unc perp ] due to shot noise are computed using the noise scale factor (NSF) approach introduced by Liu et al (2006) and described in detail for the CALIOP system by Hostetler et al (2006). The uncertainties are scaled by the inverse square root of the product of: the number of 15-m vertical bins being averaged, which is 12 in the case of our fixed 180-m vertical resolution, and the number of 1/3-km horizontal resolution laser shots being 20 averaged, which ranges from 15 to 405 in our successive horizontal averaging scheme.…”
Section: Random Measurement Uncertaintiesmentioning
confidence: 99%
“…(1), is then used to retrieve the level 2 lidar products, which include vertical profiles of aerosol/cloud backscatter and extinction, aerosol/cloud layer base and top heights, and integrated aerosol/cloud layer parameters (e.g., aerosol opti- cal depth). Also, since the 1064 nm signal is calibrated relative to the calibrated 532 nm total attenuated backscatter (Hostetler et al, 2006;Vaughan et al, 2010), the calibration of all data products is fundamentally dependent upon the calibration of the 532 nm parallel signal. The procedure for calibrating the 532 nm parallel component of the attenuated backscatter is described in detail in Powell et al (2009).…”
Section: Caliop Attenuated Backscattermentioning
confidence: 99%
“…Unless otherwise noted, this study uses the version 3.01 dataset (V3.01), released in early 2010. During nighttime measurements, the CALIOP 532 nm parallel signal is calibrated by determining the ratio between the measured signal (i.e., in digitizer counts) at a set altitude to the total backscatter estimated for that altitude from an atmospheric model Hostetler et al, 2006;Russell et al, 1979). The key to accurate calibration is to choose an altitude for which the atmospheric backscatter can be accurately estimated and the lidar signal has sufficient signal to noise ratio (SNR) and linearity.…”
Section: Caliop Attenuated Backscattermentioning
confidence: 99%
“…The 1064 nm aerosol depolarization ratio is calculated at the same resolution as the aerosol backscatter product (∼1 km horizontal, 30 m vertical resolution). Random error estimates based on shot noise are provided for all HSRL products using a noise scale factor as detailed in Liu et al (2006).…”
Section: Hsrl Measurements During Milagromentioning
confidence: 99%