Abstract

Direction finding has an important role in locating the RF emitters with various frequencies. Direction finding can be done in amplitude based method using a single antenna as well as an antenna array can be used where both amplitude and phase are concerned. In direction finding operation, it is aimed that the amplitude and phase of the antenna elements corresponding to different angle of arrivals are different from each other to avoid gross errors. The antenna array that is used for direction finding directly affects the gross error probability. In this study, the gross error probability calculation is performed for a given antenna array and signal-to-noise-ratio (SNR) under the Maximum Likelihood (ML) direction finding method. It is shown that the gross error probability calculation is related to the ratio of two Rician distributed random variables. The closed form formula that is derived includes infinite sums and it can be numerically evaluated with an arbitrarily small error. Finally, the gross error probability is calculated for some example antenna arrays.

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