We report the characterization of the spectral response of a wavelength-self-tunable single-sideband filter operating at 16-GHz radio frequency. We demonstrate, for what we believe to be the first time, simultaneous generation of three dynamic Bragg gratings inside the InP:Fe photorefractive crystal of such a filter. In addition, two signal processing configurations are tested. Finally, measurements are confronted with simulations on the device, which is dedicated to chromatic dispersion compensation in fiber-radio systems.