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Error Probability Characteristics for Orthogonal Multiple Alternative Communication with D-Fold Diversity.
NAVAL UNDERWATER SYSTEMS CENTER NEW LONDON CONN NEW LONDON LAB
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The error probability characteristics for orthogonal multiple alternative M-ary communication with D-fold diversity are plotted for M 2, 3, 4, 8, 16, 32, 64 and for D 1, 2, 3, 4, 5, 6, 8, 12, 16, 24, 32, 48, 64 in a range of M-ary character error probabilities Pe from 0.1 to 0.00001. The curves are plotted in two ways - versus the total signal-energy- to-noise-density ratio and versus the signal-energy-to-noise-density ratio per diversity branch. These curves permit quick determination of the optimum number of diversity branches D to employ for specified values of M and Pe and the required average total received signal-energy-to-noise-density ratio. The curves also afford quantitative measures of the losses incurred by not employing the optimum number of diversity branches, such as might be imposed by a limited bandwidth. Bandwidth requirements are discussed for frequency diversity, and a signal design example using the above curves for a simple tradeoff study is presented. Author
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