A driving method for improving luminous efficacy of a light emitting diode (LED), the method comprising: periodically switching a DC current supplied to the LED between a high current level lH and a low current level lL, the low current level lL being fixed at zero or raised above zero to produce a DC offset; and maintaining an average current at a first value If by adjusting the duty cycle acting on the high current level lH and any one from the grouping consisting of: adjusting the high current level lH and adjusting the low current level lL, and adjusting the high current level lH or adjusting the low current level lL.