Based　on　a　novel　generalized　least　absolute　deviation　(GLAD)　method,　this　paper　proposes　an　effective　speech　enhancement　algorithm　for　the　removal　of　noise　from　speech　signal.　Parameters　of　speech　signal　modeled　as　autoregressive　(AR)　process　are　well　estimated　by　the　GLAD　method　and　thus　the　speech　signal　can　be　well　recovered　from　Kalman　filtering.　Simulation　results　show　that　the　proposed　GLAD-estimation-based　algorithm　possesses　indeed　good　speech　enhancement　performance　than　the　Kalman　filtering　algorithms　based　on　the　second-order　estimation　and　the　high-order　estimation.　©2010　IEEE.