ICA mixtures applied to ultrasonic nondestructive classification of archaeological ceramics
EURASIP Journal on Advances in Signal Processing - Special issue on signal processing in advanced nondestructive materials inspection
Wiener filter realization for target detection using group delaystatistics
IEEE Transactions on Signal Processing
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In this paper we study the problem of automatic detection of ultrasonic echo pulses in a grain noise background considering split-spectrum (SS) algorithms as sub-optimum solutions. First, SS algorithms are reformulated following an algebraic approach which is more appropriate from the perspective of automatic detection. Then, recombination methods will be modified according to the previous reformulation. We will consider some of the popular methods based in the phase observation (Polarity Thresholding and Scaled Polarity Thresholding) and in the order statistics (Minimization, Normalized Minimization and Frequency Multiplication). Different experiments with simulated and real data will support our theoretical analysis, and will show the advantages of the Frequency Multiplication method. Derivation of the formulas of the probability of detection and the probability of false alarm in every detector are included in the paper.