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<p>The design and performance analysis of a three-channel Robust  Symmetrical Number System (RSNS) virtual spacing direction finding (DF)  system was carried out in this thesis. The design was based on hardware used  in the previous work in which a digital three-channel RSNS-based interferometer  was built. In designing a RSNS virtual spacing DF system, it was found that the ratio between the modulus is an important parameter. The ratio affects the selection of the moduli set, the array size and the system's field of view. Based  on the hardware used, the system's signal-to-noise ratio (SNR) was determined  for a simulated emitter. Random Gaussian noise was injected into the system to  determine the accuracy of mapping the actual angle-of-arrival (AOA) to the  estimated AOA. Monte Carlo simulations were carried out to determine the  probability of correctly estimating the AOA of the signal. Simulation results from  the effect of spacing errors, phase errors, frequency error, moduli set change and  SNR change was presented and analyzed. The RSNS-based DF system was  found to be relatively insensitive to spacing error. A proposed two set of moduli  were used to improve the accuracy and probability of correct estimation in both  low SNR and high SNR conditions.
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<br>Subjects: Monte Carlo method; Symmetry; Random noise theory</div>
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Kwai, Kevin Kiah Wen</div>
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