Filtering the cavity field as well as the spin of electron from noise

The aim of this work is to estimate the electro-magnetic field at a given spatial point within the cavity as well as the spin of the electron bound to its nucleus placed within the cavity. We calculate it using the Hudson-Parthasarathy Schrödinger quantum stochastic differential equation (HPS-QSDE), Plot Noise-to-Signal ratio (NSR) for cavity field observable and spin of electron which validate the effectiveness of the Belavkin quantum filter using MATLAB.