A　quantized　H∞　filtering　problem　is　proposed　for　linear　discrete-time　MIMO　systems.　A　separate　and　static　logarithmic　quantizer　for　each　output　channel　is　modeled.　The　sector　bound　approach　is　used　to　describe　the　quantization　error.　Then,　the　quantized　filtering　problem　is　turned　to　the　filtering　problem　of　uncertainty　systems.　A　linear　H∞　filter　is　designed　such　that　the　error　systems　are　asymptotic　stable　and　guarantee　a　prescribed　H∞　performance　in　term　of　linear　matrix　inequality　(LMI).　Finally,　a　numerical　simulation　example　shows　the　effectiveness　of　the　proposed　design　approach.