Weak Signal Detection in Multiplicative and Additive Noise

A general model for complex electromagnetic environments incorporating multiplicative and additive noise is proposed. The locally optimum detector is derived for weak signal detection and shows that the influence of multiplicative noise in its mean multiplied to the statistics. The finite sample performance is evaluated by Monte-Carlo simulation with the comparison of other detectors and the result indicates that the LO method provides best performance for weak signal detection in non-Gaussian noise.