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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A Fast Algorithm for Selective Signal Extrapolation with Arbitrary Basis Functions | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2011 Article ID 495394 10 pages doi 10.1155 2011 495394 Research Article A Fast Algorithm for Selective Signal Extrapolation with Arbitrary Basis Functions Jurgen Seiler EURASIP Member and Andre Kaup EURASIP Member Chair of Multimedia Communications and Signal Processing University of Erlangen-Nuremberg Cauerstrafe 7 91058 Erlangen Germany Correspondence should be addressed to Jurgen Seiler seiler@lnt.de Received 7 July 2010 Revised 1 December 2010 Accepted 18 January 2011 Academic Editor Ana Perez-Neira Copyright 2011 J. Seiler and A. Kaup. 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. Signal extrapolation is an important task in digital signal processing for extending known signals into unknown areas. The Selective Extrapolation is a very effective algorithm to achieve this. Thereby the extrapolation is obtainedby generating a model of the signal to be extrapolated as weighted superposition of basis functions. Unfortunately this algorithm is computationally very expensive and up to now efficient implementations exist only for basis function sets that emanate from discrete transforms. Within the scope ofthis contribution a novel efficient solution for Selective Extrapolation is presented for utilization with arbitrary basis functions. The proposed algorithm mathematically behaves identically to the original Selective Extrapolation but is several decades faster. Furthermore it is able to outperform existent fast transform domain algorithms which are limited to basis function sets that belong to the corresponding transform. With that the novel algorithm allows for an efficient use of arbitrary basis functions even if they are only numerically defined. 1. Introduction The extrapolation of signals is a very important .
