Abstract

This paper investigates the error of determining the coordinates of an acoustic signal source depending on various parameters of the developed software-mathematical models for training a neural network. The authors determined the optimal values of these parameters according to the criterion of minimum error. The study found that the optimal amount of data for training a neural network is 25,000 training pairs, and the number of hidden layers should not exceed 5. Among several forms of sensor arrangement, the best is the square, as it provides a smaller error and uniform filling of the microphone’s perimeter. Their number should not exceed 9, since the best algorithm for training the neural network trainlm requires significant computing resources of the system on which training is performed. An increase in the number of sensors leads to an increase in the training time of the neural network but does not lead to an improvement in accuracy. When studying the effect of the distance to the acoustic signal source and the algorithm for selecting the base sensor for calculating the time difference, it was found that changing these parameters does not affect the accuracy of the neural network. The best structure of the number of hidden neurons in each hidden layer is an expanding structure, in which the number of neurons in each layer increases from the input layer to the middle-hidden layer, then decreases to the output layer. Using the optimized parameters, the neural network was trained and its accuracy was evaluated on two data sets: those used for training and those unknown to the neural network. In both cases, the neural network demonstrated good results. According to the results of the study, it was found that the error of the optimised system is 6.7681 × 10-5 m in the Y coordinate and 6.6120 × 10-5 m in the X coordinate.

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