A filter intended to receive a discrete time signal at a sampling clock frequency, comprising a determined number, greater than 2, of filtering units, each filtering unit comprising head capacitors in a number equal to the determined number, assembled in parallel between an input terminal and the terminal of an integration capacitor; and means for connecting, in successive clock cycles in a number equal to the determined number, successively each head capacitor to the input terminal, and for then simultaneously connecting the head capacitors to the integration capacitor, and in which the successive clock cycles during which the head capacitors of a filtering unit are connected to the input terminal are offset by one clock cycle from one filtering unit to the next one.