Title: Mathematical analysis of RF imaging techniques and signal processing using wavelets

Authors: Manisha Khulbe; Harish Parthasarathy; Malay Ranjan Tripathy

Addresses: Department of Electronics and Communication Engg., Ambedkar Institute of Advance Communication Technology & Research, Indraprastha University, New Delhi, India ' Department of Electronics and Communication Engg., Netaji Subhash Institute of Technology, Dwaraka, New Delhi, India ' Department of Electronics and Communication Engg., Amity School of Engineering and Technology, Amity University Uttar Pradesh, Noida, India

Abstract: Non-linear optics plays an important role in the imaging. In this paper using non-linearity, we have derived three different techniques for imaging. In the first technique, an algorithm is developed for the scattering of electromagnetic waves from the medium, which gives higher-order harmonics of the EM wave. Here, the linear and non-linear interactions of molecules with the applied electromagnetic waves play an important role in target detection. We assume the material is inhomogeneous and represented by its susceptibility tensor. Second technique for detection of non-linearity or higher-order harmonic is using anharmonic oscillator model where the perturbation due to non-linearity in the electron moment is derived and mapped to the second harmonic generation of electromagnetic waves. Third technique is applied using Gaussian monopulse where the non-linear interaction of wave with the matter makes the phase change of the wave. When wavelet transforms with dilations and translation are applied to these non-linear waveforms, we get the details of region of interest in terms of wavelet coefficients. The region of interest may be 1-dimensional, 2-dimensional or 3-dimensional. These methods can be used in biomedical applications and other areas where target is in the near-field range.

Keywords: anharmonic oscillator model; mathematical modelling; monopulse; multi-resolution analysis; non-linear optics; RF imaging; THz imaging; self-phase modulation; wavelet transform.

DOI: 10.1504/IJSISE.2017.087979

International Journal of Signal and Imaging Systems Engineering, 2017 Vol.10 No.6, pp.286 - 300

Received: 29 Nov 2016
Accepted: 26 Jun 2017

Published online: 13 Nov 2017 *

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