A neutron transport solver for 2-D, 2-energy-group neutron noise problems is presented. The simulator allows to determine: 1) the static neutron flux associated with a critical system; 2) the neutron noise in the frequency domain, according to a prescribed perturbation of the critical system. The perturbation is modeled as stationary fluctuations of the macroscopic nuclear cross-sections. The solution algorithm is based on a diamond finite difference scheme, discrete ordinates method, and it is accelerated using a diffusion synthetic acceleration technique. The solver is tested on 2-D homogeneous and heterogeneous systems with a localized neutron noise source. Its convergence is analyzed and compared to the case without acceleration.