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Deconvolution of complex echo signals by the maximum entropy method in ultrasonic nondestructive inspection

  • Acoustic Signal Processing and Computer Simulation
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Abstract

The problem of inversion of convolution with the echo signal point source function is considered with the use of the regularization and maximum entropy method and further reconstruction of two-dimensional images by the method of projection in the spectral domain. The inverse convolution problem is solved for the complex-valued signal that is obtained from the real valued signal through the Hilbert transform. Numerical and experimental simulation is performed. A possibility of enhancing the echo signal along the ray’s resolution and of lowering the spectrum’s noise level with the use of complex signals (pseudo-random sequences) is demonstrated. The results are compared with those obtained using the autoregression method and the reference hologram method.

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Authors and Affiliations

  1. OOO Science and Production Center Ekho+, RNTs Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182, Russia

    A. E. Bazulin & E. G. Bazulin

Authors
  1. A. E. Bazulin
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  2. E. G. Bazulin
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Correspondence to A. E. Bazulin.

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Original Russian Text © A.E. Bazulin, E.G. Bazulin, 2009, published in Akusticheskiĭ Zhurnal, 2009, Vol. 55, No. 6, pp. 772–783.

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Bazulin, A.E., Bazulin, E.G. Deconvolution of complex echo signals by the maximum entropy method in ultrasonic nondestructive inspection. Acoust. Phys. 55, 832–842 (2009). https://doi.org/10.1134/S1063771009060189

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