The ground-based telescope can’t actualize diffraction limited image owe to the atmospheric turbulence, the adaptive optics and High-resolution Statistical Reconstruction Method can overcome the influence of atmospheric turbulence thus obtain High-resolution image. Recently, the High-resolution Statistical Reconstruction Method has well-developed, the method obtains superior signal-to-noise high frequency spectrum information by making statistics of the short-exposure image, from the statistics results, it reconstructs high resolution image. For the good effect of the Statistical Reconstruction Method it is widely used in angular separation binary detection, but when the binary has big magnitude difference the detection result is not very good, also there are some random errors affected reconstruction accuracy. This paper uses High-resolution Statistical Reconstruction Method for a preliminary study in faint companion detection. The main task includes random error analysis, transfer function signal-to-noise computation, and binary reconstruction simulation. In Chapter one and Chapter two there is a simple introduction of High-resolution Statistical Reconstruction Method. And then in Chapter three there is a discussion of the random error which includes atmospheric phase random fluctuation, photon noise and atmospheric dispersion. In Chapter four gives the result of binary simulation specialty under small angular separation and big magnitude difference; also gives the result of observation data processing. At the end is a work summary and future plan.
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