Abstract
The effective treatment of signal-transmission problems requires an analytical representation or “model” of the signal path. Long underwater acoustic signal paths fall into the class of randomly time-varying dispersive channels, which show approximate linearity and short-term statistical stationarity. A mathematical model for such paths is proposed that is based on the statistical behavior of the time-varying impulse response h(ητ). This model has sufficient generality to account for the fluctuating dispersive characteristics of underwater paths and their property of increasing attenuation with frequency. Certain constraints may be included, however, so as to provide the model with a high level of mathematical manageability. The effects of the channel model on the transmission of white noise, stationary random signals, and CW signals are treated. The detailed treatment is confined to the point-to-point transmission situation, although some discussion is presented on the more complicated problem of multiple-input/multiple-output channels, including interior reflective and refractive bodies.
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