A parametric spectro-temporal analyzer (PASTA) has been demonstrated as an ultrafast single-shot spectral analyzing technique. However, the relatively complex system configuration and the limited wavelength measurement range limit its practical application. In this work, a new system design utilizing a four-wave mixing Bragg scattering (FWM-BS) process is presented that significantly simplifies the implementation. More importantly, owing to the large parametric conversion bandwidth of the FWM-BS process, the maximum wavelength measurement range has been expanded to around 30 nm. In addition, the detection sensitivity is also enhanced by 10 dB. Our work thus represents a critical step in realizing the practical application of the PASTA technique.