Details:
Title  Groebner basis methods for multichannel sampling with unknown offsets  Author(s)  Luciano Sbaiz, Patrick Vandewalle, Martin Vetterli  Type  Article in Journal  Abstract  In multichannel sampling, several sets of subNyquist sampled signal values are acquired. The offsets between the sets are unknown, and have to be resolved, just like the parameters of the signal itself. This problem is nonlinear in the offsets, but linear in the signal parameters. We show that when the basis functions for the signal space are related to polynomials, we can express the joint offset and signal parameter estimation as a set of polynomial equations. This is the case for example with polynomial signals or Fourier series. The unknown offsets and signal parameters can be computed exactly from such a set of polynomials using Gröbner bases and Buchberger  Keywords  Aliasing, Sampling, Multichannel sampling, Offset estimation, Groebner basis  ISSN  10635203 
URL 
http://www.sciencedirect.com/science/article/pii/S1063520307001303 
Language  English  Journal  Applied and Computational Harmonic Analysis  Volume  25  Number  3  Pages  277  294  Year  2008  Edition  0  Translation 
No  Refereed 
No 
