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dc.contributor.author McDonald, Andre M
dc.contributor.author Van Wyk, MA
dc.date.accessioned 2019-03-27T09:27:27Z
dc.date.available 2019-03-27T09:27:27Z
dc.date.issued 2018-09
dc.identifier.citation McDonald, A.M. and Van Wyk, M.A. 2018. Efficient generation of random signals with prescribed probability distribution and spectral bandwidth via ergodic transformations. Proceedings of the 2018 European Signal Processing Conference, Rome, Italy, 3 - 7 September 2018 en_US
dc.identifier.uri http://www.eusipco2018.org/accepted-papers.php
dc.identifier.uri http://hdl.handle.net/10204/10866
dc.description Paper presented at the 2018 European Signal Processing Conference, Rome, Italy, 3 - 7 September 2018 en_US
dc.description.abstract A novel random signal generator design that accommodates the specification of both the sample probability distribution as well as the signal bandwidth is presented in this paper. The generator achieves a high degree of computational efficiency through the nonlinear transformation of trajectories produced by a discrete–time dynamical system which has an ergodic map as evolution rule. The ergodic map is designed using a recently proposed solution of the inverse Frobenius–Perron problem that allows for the selection of the map’s invariant distribution as well as its spectral characteristics. The nonlinear transformation is obtained via a novel piecewise polynomial fitting algorithm, which facilitates the approximation of absolutely continuous probability distributions over compact support with greater accuracy than existing techniques. Numerical experiments indicate that the proposed design achieves a reduction in signal generation time of up to 22% compared to a conventional generator, while at the same time using a smaller lookup table, maintaining a comparable level of accuracy, and offering flexibility in the selection of the signal bandwidth. It is concluded that the proposed approach is suitable for signal generation in applications where low computational complexity is a critical requirement. en_US
dc.language.iso en en_US
dc.relation.ispartofseries Worklist;22308
dc.subject Dynamical system en_US
dc.subject Digital radio frequency memory en_US
dc.subject DRFM en_US
dc.subject Inverse Frobenius-Perron problem en_US
dc.title Efficient generation of random signals with prescribed probability distribution and spectral bandwidth via ergodic transformations en_US
dc.type Presentation en_US


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