A FIR filter (15), comprising an input terminal for receiving an input signal, a first filtering circuit comprising: a first transconductance device (30a) configured to generate a first current signal (i1) proportional to the input signal; a first analog switch (41a) commuted in n by a first digital gate signal (ϕ1) and configured to block the current signal when the first digital gate signal has a first value and to transmit the current signal to a first integrating capacitor (45a) when the first digital gate signal has a second value; characterized in that the first digital gate signal (ϕ1) comprises a periodic series of pulses, wherein the pulses have widths proportional to the filter coefficients.