Groebner basis methods for multichannel sampling with unknown offsets
نویسندگان
چکیده
منابع مشابه
Groebner Basis Methods for Multichannel Sampling with Unknown Offsets
In multichannel sampling, several sets of sub-Nyquist 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 of...
متن کاملMultichannel Sampling with Unknown Gains and Offsets: A Fast Reconstruction Algorithm
We study a multichannel sampling scheme, where different channels observe scaled and shifted versions of a common bandlimited signal. The channel gains and offsets are unknown a priori, and each channel samples at sub-Nyquist rates. This setup appears in many practical signal processing applications, including time-interleaved ADC with timing skews, unsynchronized distributed sampling in sensor...
متن کاملPractical Groebner Basis Computation
We report on our experiences exploring state of the art Gröbner basis computation. We investigate signature based algorithms in detail. We also introduce new practical data structures and computational techniques for use in both signature based Gröbner basis algorithms and more traditional variations of the classic Buchberger algorithm. Our conclusions are based on experiments using our new fre...
متن کاملGroebner Basis under Composition
Composition is an operation of replacing variables in a polynomial with other polynomi-als. The main question of this paper is: When does composition commute with Groebner basis computation? We prove that this happens ii the composition is \compatible" with the term ordering and the un-divisibility. This has a natural application in computation of Groebner basis of composed polynomials which ar...
متن کاملSignal Processing
[1] Michael Clausen, Beiträge zum Entwurf schneller Spektraltransformationen, Habilitationsschrift, Universität Karlsruhe, 1998. [2] Torsten Minkwitz, Algorithmensynthese für lineare Systeme mit Symmetrie, Dissertation, Technische Hochschule, Universität Karlsruhe, 1993. [3] Luciano Sbaiz, Patrick Vandewalle, and Martin Vetterli, Groebner basis methods for multichannel sampling with unknown off...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2008
ISSN: 1063-5203
DOI: 10.1016/j.acha.2007.11.003