An Optimum Linear Receiver for Transmission Systems with Noise Depending Multiplcatively upon Signals
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概要
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The considerations of the optimum reception of systems with additive and multiplicatively dependent noises are very useful. Besides, the analytical results are much desirable to obtain the conception of behavior of those systems. But it is very difficult, even if by numerical evaluation, to estimate the optimum reception with high fidelity for those systems. In this paper, for the above purpose, we assume the simplest model including the multiplicatively dependent noise and calculate the impulse response of the optimum filter for the two different criteria : signal-to-noise ratio (SNR) in a digital system and mean square error in an anlog one. For the first criterion, the optimum filters of two cases, that is, systems with and without intersymbol-interferences, are considered. In the former systems, the impulse response of the optimum filter is hardly different from the conventional one. For the second criterion, the optimum filters of three cases are discussed : (a) continuous wave, (b) isolated wave and (c) PAM wave. For the last case, under some restrictions, the optimum filter can be composed of the cascade connection of a matched filter and a transversal filter.
- 山梨大学の論文
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