A distributed detection scheme where the sensors transmit with constantmodulus signals over a Gaussian multiple access channel is considered. Thedeflection coefficient of the proposed scheme is shown to depend on thecharacteristic function of the sensing noise and the error exponent for thesystem is derived using large deviation theory. Optimization of the deflectioncoefficient and error exponent are considered with respect to a transmissionphase parameter for a variety of sensing noise distributions includingimpulsive ones. The proposed scheme is also favorably compared with existingamplify-and-forward and detect-and-forward schemes. The effect of fading isshown to be detrimental to the detection performance through a reduction in thedeflection coefficient depending on the fading statistics. Simulationscorroborate that the deflection coefficient and error exponent can beeffectively used to optimize the error probability for a wide variety ofsensing noise distributions.
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