A novel approach to interrogating in real time a lin-early chirped fiber Bragg grating (LCFBG) sensor based on spec-tral-shaping and wavelength-to-time (SS-WTT) mapping with im-proved interrogation resolution and signal-to-noise (SNR) ratio is proposed and experimentally demonstrated. The proposed system consists of a mode-locked laser source, an optical interferometer incorporating an LCFBG, and a dispersive element. The optical in-terferometer has a spectral response with an increasing free spec-tral range (FSR). The incorporation of the LCFBG in the inter-ferometer would encode the sensing information in the spectral response as a change in the FSR. After SS-WTT mapping, a lin-early chirped microwave waveform is obtained. The correlation of the linearly chirped microwave waveform with a chirped reference waveform would provide a sharp correlation peak with its position indicating the wavelength shift of the LCFBG. A theoretical anal-ysis is carried out, which is validated by a numerical simulation and an experiment. The experimental results show that the pro-posed system can provide an interrogation resolution as high as 0.25 at a speed of 48.6 MHz.