A circuit for a semiconductor memory device includes: a filtering control signal generation unit configured to synchronize a seed signal activated in a pre-amble period of a data strobe signal with the data strobe signal and sequentially generate a plurality of filtering control signals in response to the seed signal; and a filtering signal output unit configured to generate a filtering signal for filtering the data strobe signal in response to the plurality of filtering control signals and a plurality of burst length (BL) control signals.