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amplifier angle aperture efficiency attenuation average band bandwidth beam binomial distribution calculated characteristic circuit component conductor consider curvature density function derived dice direction doppler earth echo effective area effective noise temperature effective temperature electrons energy error false alarm field filter Gaussian given impedance incoherent processing input noise integral ionosphere LaPlace's equation law of thermodynamics linear detector load losses lossless mean megahertz microwave missed detection modulation index MTTF noise figure noise power noise ratio noise temperature omnidirectional antenna path phase velocity plane of incidence plane wave plasma frequency probability problem processing gain propagation pulse radar radiation radius receiving antenna reflector relay resistor samples satellite second law shot noise signal is present signal to noise square law detector standard deviation statistical independence surface theorum thermal noise transmission line unit length variance vector voice channels voltage waveguide zero