Fast 3-D Image Reconstruction on Nonregular UWB Sparse MIMO Planar Array Using Scaling Techniques
Kai Tan, Xudong Chen
Abstract
This article proposes a novel multistatic scaling algorithm for fast 3-D imaging with an ultrawideband (UWB) multiple-input-multiple-output (MIMO) planar array architecture. The proposed imaging method well addresses the weaknesses of the state-of-the-art imaging techniques, such as heavy computation burden and requirement of regular MIMO topologies. The key range cell migration in MIMO data set is corrected by a multistatic scaling operation. Only the fast Fourier transform and multiplications are employed during the entire imaging procedure that is easy to implement. For an arbitrary MIMO planar array, the computation complexity of the algorithm is O(N <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">5</sup> log <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> N), which is lower than the optimum backpropagation and ω-K techniques. We have designed a 16 × 16 UWB sparse MIMO planar array with nonregular topology in our experiments. Results with both synthetic and practical data demonstrate the accuracy and efficiency of the algorithm, i.e., it obtains images of the same quality with much less time compared with the state-of-the-art other imaging algorithms.