We present a photonic approach to generate and transmit a dual-chirp microwave waveform with antidispersion performance. Traditionally, the microwave signal generated based on double-sideband (DSB) modulation suffers from power fading significantly. We propose a DSB-based dual-chirp microwave waveform transmitter that can eliminate the chromatic dispersion-induced power fading (CDIP) over fiber transmission. The CDIP elimination, rather than compensation, ensures that the working bandwidth of the dual-chirp waveform is not limited by the periodical power fading. The proposed signal modulation scheme makes the signal transmitter free from the direct current bias drifting of the modulator. Moreover, thanks to the phase modulation, the generated waveform is background-free. The proposed dual-chirp waveform transmitter features a compact structure, polarization independence, and CDIP elimination, which has great potential in radars for one-to-multibase station fiber transmission.