In　this　paper,　we　consider　the　problem　of　frequency　acquisition　synchronization　by　using　multiple　antennas　over　wireless　fading　channels.　We　introduce　frequency　synchronization　with　different　combining　schemes　including　space　diversity　and　time　diversity.　Their　performance　is　estimated　for　a　Rayleigh　fading　channel　with　an　analysis　both　theoretically　and　by　simulation.　We　investigate　the　relationship　between　the　mean　squared　error　(MSE)　and　the　average　signal-to-noise　ratio　(SNR)　for　combining　of　different　blocks　and　antennas.　Both　the　carrier　frequency　offset　and　the　sampling　frequency　offset　are　estimated　when　multiple　antennas　are　utilized　for　signal　transmission.　The　estimation　with　maximum　ratio　combining　(MRC)　scheme　is　presented　in　detail,　and　the　estimation　with　selection　combining　scheme　and　equal　gain　combining　scheme　are　introduced　briefly.　The　simulation　results　explicitly　show　that　the　performance　of　the　frequency　acquisition　synchronization　with　MRC　scheme　is　better　than　that　of　others　and　that　the　MSE　at　low　SNR　is　not　very　close　to　the　Cramer-Rao　low　bound　in　multiblock　combining　frequency　synchronization.　Furthermore,　the　results　address　that　in　order　to　improve　the　performance,　the　total　number　of　receive　antennas　will　be　increased　exponentially.　Copyright　(c)　2013　John　Wiley　&　Sons,　Ltd.