This invention concerns a semiconductor memory device comprising: at least one sense amplifier circuit for reading data sensed from selected memory cells in a memory array,—at least one reference circuit, each reference circuit being a replica of the sense amplifier circuit and having an output through which the reference circuit delivers an output physical quantity, a regulation network providing a regulation signal to each sense amplifier circuit and each reference circuit, wherein the regulation signal is derived from an averaging of the output physical quantity over time and/or space, wherein the regulation network comprises a control unit configured to sum up the physical quantities of each output of the reference circuit and a target mean value, the control unit delivering a regulation signal based on the sum, the regulation signal being fed in to each regular sense amplifier circuit and to each reference circuit.