Principal components tracking algorithms for synchronization and channel identification in UWB systems

We investigate the reduced rank shift invariant techniques in the application of synchronization and channel identification of UWB signals. The proposed reduced rank techniques can track the principal components automatically 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. Technical details in the application, including the operations of sampling, fast Fourier transform (FFT) and the capture of synchronization delay, are given. Experiments show the performance is only slightly inferior to the general full rank algorithms.