Ultra-wideband noise radar imaging of cylindrical PEC objects using diffraction tomography

Abstract

In this paper, we show that a single transmission of a random noise waveform may not sufficient to obtain a successful tomographic image of an object. In order to overcome this shortcoming, multiple independent and identically distributed (iid) random noise waveforms over a frequency range from 8 to 10 GHz are transmitted to reconstruct the final image of various objects. Diffraction tomography theorem is applied for each noise waveform transmission so that the image of the multiple objects is reconstructed based on the backward scattered field at the end of each noise waveform transmission realization. After all iid noise waveforms are transmitted, the final tomographic image of the target is reconstructed by averaging all obtained images from multiple transmissions. Several numerical simulations in the spatial frequency domain are performed, and the successful tomographic image of the multiple cylindrical PEC objects is achieved after transmission of multiple iid ultra-wideband (UWB) random noise waveforms.

Design and implementation of a noise radar tomographic system

“…In Figure 2(a), the Fourier transform of a single sample of length 1815 shows that the spectrum is not really flat, as desired. In Figure 2(b), 200 segments are averaged together to create a much flatter frequency spectrum, which has been shown to be absolutely necessary to create a good image 19 .…”