LED strings cascaded to one another are driven by an electronic circuit that includes regulation modules and a brightness-compensation module. The regulation modules carry out in sequence a current-regulation phase, in which they regulate the current that flows in the corresponding LED strings. The regulation module includes: a compensation regulator coupled to a compensation LED string and to a capacitor and a generator that generates an electrical quantity indicating the luminous flux emitted by the LED strings and by the compensation LED string. The compensation regulator regulates a current that flows in the compensation LED string as a function of the electrical quantity, discharging the capacitor through the compensation LED string.