This　paper　proposes　two　novel　frequency　domain　estimators　for　fast　distributed　multichannel　speech　enhancement　in　background　of　white　and　colored　noise.　The　proposed　two　frequency　domain　estimators　are　maximum　a　posterior　(MAP)　and　minimum　mean　square　error　(MMSE)　estimators,　respectively.　They　significantly　generalize　two　single　channel　optimal　frequency　domain　estimators　of　magnitude-squared　spectrum.　Compared　with　the　optimal　multichannel　frequency　domain　estimator　generalizing　the　single　channel　short-time　spectral　amplitude　and　log-spectral　amplitude　estimators,　the　proposed　two　frequency　domain　estimators　have　a　very　low　computational　cost.　Computed　results　show　that　the　proposed　two　estimators　reduce　both　colored　background　noise　and　speech　distortion.　Furthermore,　the　proposed　two　multichannel　algorithms　have　a　much　faster　computational　speed　than　conventional　multichannel　algorithms　for　distributed　multichannel　speech　enhancement.　©　2015　Elsevier　B.V.　All　rights　reserved.