Document Type


Date of Award


Degree Name

Master of Science in Electrical Engineering - (M.S.)


Electrical and Computer Engineering

First Advisor

Joseph Frank

Second Advisor

Stanley S. Reisman

Third Advisor

Sol Rosenstark


Single and double dwell pseudonoise (PN) acquisition systems are described, explained and analyzed. These systems are designed to synchronize a locally generated PN signal with a received PN signal of unknown phase in the presence of noise. The mean, variance and an approximate probability distribution function (PDF) of the acquisition time for the single and double dwell PN acquisition schemes is developed. Intuitively, the double dwell acquisition system should be superior to the single dwell system because of the ability to quickly dismiss incorrect cells and further verify probable hits. It is shown analytically that this is in fact true and that a double dwell system greatly reduces (36%) the expected acquisition time over a single dwell system.

The generating functions for both acquisition schemes are found via signal -flow diagrams. In order to compare the two systems, it is necessary to evaluate the effect of the penalty, K (false alarm penalty), which is done via state-transition diagrams. The mean and variance for both schemes are found in terms of: probability of detection, probability of false alarm, false alarm penalty and dwell times. Finally, a general expression for the PDF is found for both acquisition systems.

It is shown that the double dwell acquisition scheme can significantly reduce the expected acquisition time from that obtained with a single dwell system.



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