Combining MLPs and RBFNNs to Detect Signals With Unknown Parameters

The detection of Gaussian signals with an unknown correlation coefficientρₛis considered. Solutions based on neural networks (NNs) are studied, and a strategy for designing committee machines in a composite hypothesis test is proposed. A single multilayer perceptron (MLP) has been trained withρₛuniformly varying in [0, 1]. Considering the decision boundaries forρₛ = 0andρS = 1and how an MLP approximates them, a detection scheme composed of two MLPs has been proposed. One of themMLP₁has been trained withρₛuniformly varying in [0, 0.5], and the other oneMLP₂has been trained withρₛuniformly varying in (0.5, 1]. For making a decision, the higher output is compared to a threshold for each false-alarm probability(PFA). This strategy simplifies the task of finding a compromise solution between the computational cost and the approximation error and outperforms the single-MLP detector. WhenMLP₁is substituted with a radial basis function NN (RBFNN), a new combination strategy of the outputs is required. We propose separately thresholding the outputs and applying them to anorlogic function. The performance of this detector is slightly better than the two-MLP one, and the computational cost is significantly reduced.