The influence of random phase errors on the angular resolution of a focused synthetic aperture radar system is treated. The principal measure of performance has been taken as the mean envelope power at the system output. This system output power is evaluated exactly, although not in closed form, based on the following reasonable assumptions: (1) the real beam pattern is Gaussian; (Z) the random phase error is essentially a geometry independent ergodic process with a Gaussian amplitude distribution and zero mean; and (3) the random phase error has a Gaussian co.rrelation function.The curves presented in this report can be used to estimate expected system power response, expected system resolution, and effective aperture length beyond which, inthe presence of phase error, little gain in resolution is expected.It was found that multiple sources of error with different correlation intervals make explicit solution of the integral equation for system power response practicallyimpossible. Inthis situation, a reasonable approach is to evaluate the system power response separately for 'ach error. If one of the errors is clearly dominant, it maybe regarded as bounding achievable performance.
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