In　the　case　of　low　SNR　and　low　snapshot,　combined　with　the　improved　Capon　algorithm,　this　paper　proposes　a　new　algorithm　based　on　weighted　norm　for　DOA　estimation.　For　narrow-band　signal,　we　can　construct　the　signal　model　of　target　signal　by　using　compressed　sensing.　Because　the　subspace　matrix　and　the　noise　space　matrix　are　orthogonal　to　each　other,　a　weighted　matrix　is　constructed　to　decompose　the　signal　into　singular　values,　according　to　the　improved　Capon　algorithm　to　determine　the　weight,　and　then　according　to　the　optimization　principle　of　norm　minimization　to　solve　the　incident　direction　of　the　signal,　to　achieve　the　goal　of　DOA　estimation.　©　2021　ACM.