{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T10:53:45Z","timestamp":1648983225489},"reference-count":7,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Reconfigurable Computing"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>Interpolation is a useful technique for storage of complex functions on limited memory space: some few sampling values are stored on a memory bank, and the function values in between are calculated by interpolation. This paper presents a programmable Look-Up Table-based interpolator, which uses a reconfigurable nonuniform sampling scheme: the sampled points are not uniformly spaced. Their distribution can also be reconfigured to minimize the approximation error on specific portions of the interpolated function\u2019s domain. Switching from one set of configuration parameters to another set, selected on the fly from a variety of precomputed parameters, and using different sampling schemes allow for the interpolation of a plethora of functions, achieving memory saving and minimum approximation error. As a study case, the proposed interpolator was used as the core of a programmable noise generator\u2014output signals drawn from different Probability Density Functions were produced for testing FPGA implementations of chaotic encryption algorithms. As a result of the proposed method, the interpolation of a specific transformation function on a Gaussian noise generator reduced the memory usage to 2.71% when compared to the traditional uniform sampling scheme method, while keeping the approximation error below a threshold equal to 0.000030518.<\/jats:p>","DOI":"10.1155\/2012\/647805","type":"journal-article","created":{"date-parts":[[2012,12,4]],"date-time":"2012-12-04T17:11:49Z","timestamp":1354641109000},"page":"1-14","source":"Crossref","is-referenced-by-count":1,"title":["A Programmable Look-Up Table-Based Interpolator with Nonuniform Sampling Scheme"],"prefix":"10.1155","volume":"2012","author":[{"given":"\u00c9lvio Carlos","family":"Dutra e Silva J\u00fanior","sequence":"first","affiliation":[{"name":"Department of Aerospace Science and Technology, Institute for Advanced Studies, 12228-001 S\u00e3o Jos\u00e9 dos Campos, SP, Brazil"}]},{"given":"Leandro Soares","family":"Indrusiak","sequence":"additional","affiliation":[{"name":"Department of Computer Science, University of York, York YO10 5GH, UK"}]},{"given":"Weiler","family":"Alves Finamore","sequence":"additional","affiliation":[{"name":"Department of Eletrical Energy, Federal University of Juiz de Fora, 36036-900 Juiz de Fora, MG, Brazil"}]},{"given":"Manfred","family":"Glesner","sequence":"additional","affiliation":[{"name":"Department of Microelectronic Systems, Darmstadt University of Technology, 64283 Darmstadt, Germany"}]}],"member":"98","reference":[{"key":"3","series-title":"Edited by O. D. U. N. Va","year":"2003"},{"key":"4","year":"1996"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023252403567"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2009.2034749"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/25.790551"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1109\/TMTT.2004.837313"},{"key":"20","year":"2001"}],"container-title":["International Journal of Reconfigurable Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijrc\/2012\/647805.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijrc\/2012\/647805.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijrc\/2012\/647805.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T19:00:50Z","timestamp":1471546850000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijrc\/2012\/647805\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":7,"alternative-id":["647805","647805"],"URL":"https:\/\/doi.org\/10.1155\/2012\/647805","relation":{},"ISSN":["1687-7195","1687-7209"],"issn-type":[{"value":"1687-7195","type":"print"},{"value":"1687-7209","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}