We propose and experimentally demonstrate a fully reconfigurable generator of chirped microwave pulses based on the processing of an incoherent optical signal by means of a dispersive element with a non-uniform optical spectral shaping. The system performance has been proved by the generation of different chirped microwave pulses. Different capabilities of the system has been experimentally demonstrated as frequency tunability and TBWP control by means of the dispersive element and optical source power distribution. Furthermore, the possibility for generating chirped microwave pulses with positive and negative chirp characteristic has been shown achieving similar chirps in terms of magnitude but opposite sign. For it, chirp characteristic is introduced by the proper shaping of the signal power distribution of the optical source.