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Wigner/cycle spectrum analysis of spread spectrum and diversity transmissions

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2 Author(s)
J. Wilbur ; US Naval Coastal Syst. Center, Panama City, FL, USA ; J. Bono

A high-resolution t-ω estimator, termed the Wigner distribution (WD), is shown to form a sound basis for representing nonstationary acoustic returns. Signal returns are modeled as the output of a time-variant random filter where the WD of the nonstationary signal return defines a random process whose expectation reduces to the instantaneous power spectral density defined for dispersive communication channels. From the WD, a set of relations describing time-variant channel effects on spread-spectrum and diversity transmissions are developed. These relations are shown to be useful in comparing spreading techniques under differing channel conditions and for estimating channel-imposed bounds on the spreading parameters required for effective transmission. A mapping from the Wigner distribution to the cycle spectrum is shown to produce cyclic correlations characteristic of the modulation rate. The WD-based formulation is applied to an example of spread-spectrum transmission through a reverberation-limited channel

Published in:

IEEE Journal of Oceanic Engineering  (Volume:16 ,  Issue: 1 )