  A spectral camera based on ghost imaging via sparsity constraints (GISC)
acquires a spectral data-cube (x; y; {\lambda}) through a single exposure. The
noise immunity of the system is one of the important factors affecting the
quality of the reconstructed images, especially at low sampling rates.
Tailoring the intensity to generate super-Rayleigh speckle patterns which have
superior noise immunity may offer an effective route to promote the imaging
quality of GISC spectral camera. According to the structure of GISC spectral
camera, we proposed a universal method for generating super-Rayleigh speckle
patterns with customized intensity statistics based on the principle of
reversibility of light. Simulation and experimental results demonstrate that,
within a wide imaging spectral bandwidth, GISC spectral camera with
super-Rayleigh modulator not only has superior noise immunity, but also has
higher imaging quality at low sampling rates. This work will promote the
application of GISC spectral camera by improving the quality of imaging
results, especially in weak-light illumination.
