We propose a method for miniaturization of filters based on curved waveguide Bragg gratings, so that long structures can be packed into a small area on a chip. This eliminates the stitching errors introduced in the fabrication process, which compromise the performance of long Bragg gratings. Our approach relies on cascading curved waveguide Bragg gratings with the same radius of curvature. An analytical model for the analysis of these devices was developed, and a filter based on this model was designed and fabricated in a silicon on insulator platform. The filter had a total length of $920\mathrm{\mu m}$ , occupied an area of $190\mathrm{\mu m}\times 114\mathrm{\mu m}$ , and exhibited a stop band of $1.7\mathrm{nm}$ at $1.55\mathrm{\mu m}$ and an extinction ratio larger than $23\mathrm{dB}$ .