Identification of Characteristic Features of Envelopes of Testing Pulses with the Help of the Diade Convolution Adaptable to Noise Level: I. Identification of Types of Characteristic Features

A method has been suggested for binary coding of envelopes of measured pulses from eddy-current transducers. The method enables one to identify their characteristic features of various types, such as “leading edge”, “trailing edge”, “maximum”, “minimum”, “horizontal portion”, “start point of leading edge”, “end point of leading edge”, “start point of trailing edge”, and “end point of trailing edge”, using weighted sums of no more than four Hadamard-ordered Walsh functions with numbers 0, 1, 2 n–1, and 2 n–1 + 1. The paper demonstrates the existence of obvious diade correlations of coded combinations corresponding to specific fragments with both one another and distortions of a current sampling simulated by adding an error vector. These properties make possible an identification of types of characteristic features in current samplings of binary data with four levels of a noise immunity, which are selected in the process of adaptation to the noise intensity with due account of the significance of identified features.