Thispapercombinescompressedsensing(CS)imagingtheoryandrangemigrationalgorithm(RMA),andthenproposesanear-fieldthree-dimensional(3-D)imagingapproachforjointhigh-resolutionimagingandphaseerrorcorrection.Firstly,asparsemeasurementmatrixconstructionmethodbasedonalogisticsequenceisproposed,whichconductsnonlineartransformationforthedeterminedlogisticsequence,makingitobeyuniformdistribution,thenconductssignfunctionmapping,andgeneratesthepseudorandomsequencewithBernoullidistribution,thusleadingtogoodsignalrecoveryunderdown-samplingandeasyavailabilityforengineeringrealization.Secondly,incombinationwiththeRMAimagingapproach,thedictionarywithallsceneinformationandphaseerrorcorrectionisconstructedforCSsignalrecoveryanderrorcorrection.Finally,thenon-quadraticsolutionmodeljointingimagingandphaseerrorcorrectionbasedonregularizationisbuilt,anditissolvedbytwosteps—theseparablesurrogatefunctionals(SSF)iterativeshrinkagealgorithmisadoptedtorealizetargetscatteringestimate;theiterationmodeisadoptedforthecorrectionofthedictionarymodel,soastoachievethegoaloferrorcorrectionandhighly-focusedimaging.Theproposedapproachprovestobeeffectivethroughnumericalsimulationandrealmeasurementinanechoicchamber.Theresultsshowthat,theproposedapproachcanrealizehigh-resolutionimaginginthecaseoflessdata;thedesignedmeasurementmatrixhasbetternon-coherenceandeasyavailabilityforengineeringrealization.Theproposedapproachcaneffectivelycorrectthephaseerror,andachievehighly-focusedtargetimage.
