To　accurately　estimate　the　direction　of　arrival　(DOA)　under　conditions　of　small　samples,　low　signal-to-noise　ratio　and　high　correlations　of　sources,　according　to　the　compressive　sensing　theory,　DOA　estimation　based　on　weighted　l1　norm　sparse　signal　representation　was　proposed　by　using　the　sparse　distribution　of　the　spatial　signal　source　bearing.　The　l1-SVD　algorithm　was　improved　by　this　algorithm,　the　receiving　matrix　was　proposed,　the　weighting　matrix　was　determined　according　to　the　orthogonality　of　the　subspace,　and　the　sparse　vector　was　obtained　by　the　optimization　using　the　weighted　1　norm　as　target　function　for　minimization.　Then,　the　DOA　of　the　signal　was　obtained.　Simulations　demonstrate　that　the　proposed　algorithm　can　effectively　suppress　the　deviation　by　sparse　signal　reconstruction　method　under　weighted　processing　l1　norm.　At　the　low　SNR,　DOA　can　be　estimated　accurately　and　steadily,　and　the　precision　of　DOA　estimation　can　be　improved　effectively.　©　2018,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.