Distributed Detection over Gaussian Multiple Access Channels with Constant Modulus Signaling

TL;DR

This paper proposes a distributed detection scheme with constant modulus signaling over Gaussian multiple access channels, analyzing its performance through deflection coefficient and error exponent, and optimizing these metrics for various noise distributions.

Contribution

It introduces a novel constant modulus signaling scheme for distributed detection and derives performance metrics, including optimization strategies for different sensing noise types.

Findings

Deflection coefficient depends on sensing noise characteristic function.

Error exponent can be optimized via transmission phase parameter.

Fading negatively impacts detection performance.

Abstract

A distributed detection scheme where the sensors transmit with constant modulus signals over a Gaussian multiple access channel is considered. The deflection coefficient of the proposed scheme is shown to depend on the characteristic function of the sensing noise and the error exponent for the system is derived using large deviation theory. Optimization of the deflection coefficient and error exponent are considered with respect to a transmission phase parameter for a variety of sensing noise distributions including impulsive ones. The proposed scheme is also favorably compared with existing amplify-and-forward and detect-and-forward schemes. The effect of fading is shown to be detrimental to the detection performance through a reduction in the deflection coefficient depending on the fading statistics. Simulations corroborate that the deflection coefficient and error exponent can be effectively used to optimize the error probability for a wide variety of sensing noise distributions.