%0 Conference Paper %1 bertram:1998:risiGA %A Bertram, Robert R. %A Daida, Jason M. %A Vesecky, John F. %A Meadows, Guy A. %A Wolf, Christian %B Genetic Programming 1998: Proceedings of the Third Annual Conference %C University of Wisconsin, Madison, Wisconsin, USA %D 1998 %E Koza, John R. %E Banzhaf, Wolfgang %E Chellapilla, Kumar %E Deb, Kalyanmoy %E Dorigo, Marco %E Fogel, David B. %E Garzon, Max H. %E Goldberg, David E. %E Iba, Hitoshi %E Riolo, Rick %I Morgan Kaufmann %K algorithms genetic %P 447--454 %T Reconstructing Incomplete Signals Using Nonlinear Interpolation and Genetic Algorithms %U http://citeseer.ist.psu.edu/cache/papers/cs/10392/ftp:zSzzSzftp.eecs.umich.eduzSzpeoplezSzdaidazSzpaperszSzsga98reconstruct.pdf/reconstructing-incomplete-signals-using.pdf %X This paper describes a general, nonanalytical method for deriving Fourier series coefficients using a genetic algorithm. Non-analytical methods are often needed in problems where lost portions of a complex signal require restoration. We discuss some of the difficulties involved in working with the associated trigonometric polynomials and propose an alternative solution for adapting genetic algorithms for this class of problems. We demonstrate the efficacy of our approach with a case study. Our particular case study features the processing of data that has been collected by a novel optical waveslope instrument, which measures the topography of water surfaces.

@inproceedings{bertram:1998:risiGA, abstract = {This paper describes a general, nonanalytical method for deriving Fourier series coefficients using a genetic algorithm. Non-analytical methods are often needed in problems where lost portions of a complex signal require restoration. We discuss some of the difficulties involved in working with the associated trigonometric polynomials and propose an alternative solution for adapting genetic algorithms for this class of problems. We demonstrate the efficacy of our approach with a case study. Our particular case study features the processing of data that has been collected by a novel optical waveslope instrument, which measures the topography of water surfaces.}, added-at = {2008-06-19T17:35:00.000+0200}, address = {University of Wisconsin, Madison, Wisconsin, USA}, author = {Bertram, Robert R. and Daida, Jason M. and Vesecky, John F. and Meadows, Guy A. and Wolf, Christian}, biburl = {https://www.bibsonomy.org/bibtex/2451f0238073ccad911c0cae905f84f8f/brazovayeye}, booktitle = {Genetic Programming 1998: Proceedings of the Third Annual Conference}, editor = {Koza, John R. and Banzhaf, Wolfgang and Chellapilla, Kumar and Deb, Kalyanmoy and Dorigo, Marco and Fogel, David B. and Garzon, Max H. and Goldberg, David E. and Iba, Hitoshi and Riolo, Rick}, interhash = {70d649e9d1441320af095614236ce0db}, intrahash = {451f0238073ccad911c0cae905f84f8f}, keywords = {algorithms genetic}, month = {22-25 July}, notes = {SGA-98 see also \cite{Bertram:1997:ris}}, pages = {447--454}, publisher = {Morgan Kaufmann}, publisher_address = {San Francisco, CA, USA}, size = {8 pages}, timestamp = {2008-06-19T17:36:31.000+0200}, title = {Reconstructing Incomplete Signals Using Nonlinear Interpolation and Genetic Algorithms}, url = {http://citeseer.ist.psu.edu/cache/papers/cs/10392/ftp:zSzzSzftp.eecs.umich.eduzSzpeoplezSzdaidazSzpaperszSzsga98reconstruct.pdf/reconstructing-incomplete-signals-using.pdf}, year = 1998 }