Copyright © 2008 Jian (Andrew) Zhang et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We investigate reduced-rank shift-invariant technique
and its application for synchronization and channel identification in UWB systems. Shift-invariant techniques, such as ESPRIT and the matrix pencil method, have high resolution
ability, but the associated high complexity makes them less
attractive in real-time implementations. Aiming at reducing the
complexity, we developed novel reduced-rank identification of
principal components (RIPC) algorithms. These RIPC algorithms
can automatically track the principal components and reduce
the computational complexity significantly by transforming the
generalized eigen-problem in an original high-dimensional space
to a lower-dimensional space depending on the number of
desired principal signals. We then investigate the application
of the proposed RIPC algorithms for joint synchronization and
channel estimation in UWB systems, where general correlator-based algorithms confront many limitations. Technical details,
including sampling and the capture of synchronization delay, are
provided. Experimental results show that the performance of the
RIPC algorithms is only slightly inferior to the general full-rank
algorithms.