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A STATISTICAL INTERPRETATION OF
CHAPTER IIL THE WEIGHTED AMBIGUITY SURFACE
3 other sections not shown
_ oo 4ira air 4a ambiguity function ambiguity plane amplitude modulation analytic signals assuming becomes bF F2 boundary conditions Calculus of Variations chaff distribution Chapter complex modulation constraint active Defining differential equation Doppler shift eigenfunctions eigenvector elliptical weighting function energy constraint error criterion evaluate Fourier transform Gaussian hand side Helstrom hence Holtzman integrating J M(t matched filter maximum likelihood estimate minimize minimum modulation signal multiple targets necessary condition obtain oo oo optimum amplitude optimum phase optimum signal parameters phase modulation phase term posteriori probability distribution probability of detection radar applications radar cross-section radar system performance range and range range rate resolution problem rewrite samples scatterers signal u(t smallest eigenvalue solution specific Substituting equation t y(t t)dt volume distribution Weber functions weighted ambiguity surface write yields T T zero