Universal Minimum-Rate Sampling and Spectrum-Blind Reconstruction for Multiband Signals

99 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.The dissertation includes three parts: (1) one-dimensional theory and design, (2) two-dimensional theory and design (which is readily extendable to higher dimensions), and (3) application to Fourier imaging. The proposed spectrum-blind sampling and reconstruction theory addresses issues like existence and optimal design of universal sampling patterns and their conditioning, algorithms and uniqueness conditions for optimal spectral support recovery, as well as algorithms, uniqueness conditions and other properties of signal reconstruction via a multiresolution approach. The investigations are conducted in the framework of the proposed multicoset sampling theory, employing a periodic nonuniform sampling pattern and noniterative multirate reconstruction schemes that combine the capability of nonuniform sampling and the ease of implementation of uniform sampling.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD