雷达与控制系统中波动场的分形学及其应用

Thebookisdevotedtocontemporaryissuesofradar，control，fractaltheoryandthedetectionofweakradarsignalsinintenserealnon-Gaussianinterference.ThecoreofthebookisthelecturesandreportsofProf.AlexanderPotapov（V.A.KotelnikovInstituteofRadioEngineeringandElectronicsRAS，Moscow，Russia）fortheperiod2011-2019，readatuniversitiesinChinaandatmanyinternationalconferencesinChina.Thetheoryofwavescatteringbyanisotropicstatisticallyroughsurfaces，whichisanimportantpartofstatisticalradiophysicsandradar，isconsidered.Anewanalyticmethodisdevelopedandgeneralizedforsolvingproblemsofradarimaging.Themethodinvolvesanalyticdeterminationofthefunctionalsofstochasticbackscatteredfieldsandcanbeappliedtosolveawideclassofphysicalproblemswithallowanceforthefinitewidthofanantenna\'spattern.Theunifiedapproachbasedonthismethodisusedtoanalyzethegeneralizedfrequencyresponseofascatteringradiochannel，ageneralizedcorrelatorofscatteredfields，spatialcorrelationfunctionsofstochasticbackscatteredfields，frequencycoherencefunctionsofstochasticbackscatteredfields，thecoherencebandofaspatial-temporalscatteringradarchannel，thekernelofthegeneralizeduncertaintyfunction，andthemeasureofnoiseimmunitycharacterizingradarprobingoftheEarth\'ssurfaceorextendedtargets.Theintroducedfrequencycoherencefunctionsareappliedforthoroughandconsistentstudyoftechniquesformeasuringthecharacteristicsofaroughsurface，aircraftaltitude，anddistortionsobservedwhenradarsignalsarescatteredbystatisticallyroughsurfaces，includingfractalones.Toexemplifyurgentapplications，radiophysicalsynthesisofdetaileddigitalreferenceradarterrainmapsandmicrowaveradarimagesthatwasproposedearlierisconsideredandimprovedwiththeuseofthetheoryoffractals.