Linear FM chirp pulse compression ladar receiver operating characteristic: "maximum of M Rayleighs" statistics

Douglas G. Youmans; David U. Fluckiger

doi:10.1117/12.281012

6 August 1997 Linear FM chirp pulse compression ladar receiver operating characteristic: "maximum of M Rayleighs" statistics

Douglas G. Youmans, David U. Fluckiger

Author Affiliations +

Proceedings Volume 3065, Laser Radar Technology and Applications II; (1997) https://doi.org/10.1117/12.281012
Event: AeroSense '97, 1997, Orlando, FL, United States

Abstract

The linear frequency-modulation chirp pulse compression technique of classical microwave radar is examined in the context of coherent laser radar. A coherent CO₂ laser radar may operate near 9.115 micrometers and 33,000 GHz. Because of this short wavelength, a large target Doppler-spread is realizable in a single ladar measurement. In addition, target surface roughness with respect to wavelength causes the target backscatter points to be uniformly distributed over 2(pi) radians in phase resulting in Gaussian/Rayleigh/negative-exponential receiver statistics. Target Doppler spread and speckle as well as target down- range extent affect the linear-FM-chirp pulse compression efficiency thereby degrading the peak compressed-pulse carrier-to-noise. This degradation in carrier-to-noise is quantified using a 'maximum of M Rayleighs' detector model which allows a simple scale factor degradation for other coherent ladar wavelengths, chirp magnitudes, and pulse lengths. The receiver-operating-characteristic of the sum of many Rayleigh distributed random variables is also developed for comparison to the classical sum of many negative- exponential statistics.

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Douglas G. Youmans and David U. Fluckiger "Linear FM chirp pulse compression ladar receiver operating characteristic: "maximum of M Rayleighs" statistics", Proc. SPIE 3065, Laser Radar Technology and Applications II, (6 August 1997); https://doi.org/10.1117/12.281012

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