Integrated　sidelobe　cancellation　and　linear　prediction　(ISCLP)　method　can　effectively　reduce　reverberation,　noise　and　interference,　but　the　amount　of　calculation　is　huge,　and　speech　distortion　is　often　introduced　as　well.　In　order　to　solve　these　problems,　a　low-complexity　dereverberation　algorithm　is　proposed　in　this　paper.　By　introducing　Kronecker　product,　the　multichannel　linear　prediction　coefficients　are　expressed　as　two　low-dimensional　sub-filter　coefficients　vectors,　which　are　from　spatial　filter　and　inter-frame　filter.　In　the　case　of　introducing　spatial　filter,　inter-frame　filter　is　optimized　by　the　Kalman　filter.　Compared　with　the　ISCLP,　the　proposed　algorithm　can　effectively　increase　calculation　efficiency,　because　the　dimension　numbers　of　covariance　matrix　and　vector　required　for　calculation　are　lower,　meanwhile　in　most　conditions,　the　speech　quality　is　also　improved.　©　2021　IEEE.