X-ray binaries are star systems that emit X-rays. They are among the brightest sources of X-rays in the Galaxy. We have used a simulation software to produce optical and X-ray light curves for different wavelength ranges of light, while adding a sine wave of varying frequency and random noise to the light curves of the binary star system. Variations in these light curves can give important clues on both the geometry of the system as well as the physical processes that produce them. We also produced Fourier Spectra for the Fourier Transforms of these light curves, and finally, we have produced Fourier resolved spectra for the simulated light curves. Our main purpose is to explore the variability structure of the varying wavelengths of light from X-ray binaries. Using the simulated Fourier Resolved Spectra, we investigate the time variability and study the behaviour of the light curves of different energy and frequency bands.