Coding theory: Difference between revisions

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{{cite conference | title = On Analog Signature Analysis | citeseerx=10.1.1.142.5853 | first1 = Franc | last1 = Novak | first2 = Bojan | last2 = Hvala | first3 = Sandi | last3 = Klavžar | book-title = Proceedings of the conference on Design, automation and test in Europe | year = 1999 | isbn = 1-58113-121-6 }}

</ref> and analog encryption.<ref>

{{cite journal |author1=Shujun Li |author2=Chengqing Li |author3=Kwok-Tung Lo |author4=Guanrong Chen |title=Cryptanalyzing an Encryption Scheme Based on Blind Source Separation |journal=IEEE Transactions on Circuits and Systems I |volume=55 |issue=4 |pages=1055–63 |date=April 2008 |doi=10.1109/TCSI.2008.916540 |arxiv=cs/0608024 |s2cid=2224947 |url=http://epubs.surrey.ac.uk/532452/1/IEEETCASI2008.pdf }}

</ref>

==Neural coding==

[[Neural coding]] is a [[neuroscience]]-related field concerned with how sensory and other information is represented in the [[brain]] by [[neural network|networks]] of [[neurons]]. The main goal of studying neural coding is to characterize the relationship between the [[Stimulus (physiology)|stimulus]] and the individual or ensemble neuronal responses and the relationship among electrical activity of the neurons in the ensemble.<ref name="Brown">{{cite journal |vauthors=Brown EN, Kass RE, Mitra PP |title=Multiple neural spike train data analysis: state-of-the-art and future challenges |journal=Nature Neuroscience |volume=7 |issue=5 |pages=456–461 |date=May 2004 | url = http://www.stat.columbia.edu/~liam//teaching/neurostat-fall13/papers/brown-et-al/brown-kass-mitra.pdf |pmid=15114358 |doi=10.1038/nn1228 |s2cid=562815 }}</ref> It is thought that neurons can encode both [[Digital data|digital]] and [[analog signal|analog]] information,<ref>{{cite book |first=S.J. |last=Thorpe |chapter=Spike arrival times: A highly efficient coding scheme for neural networks |chapter-url=http://pop.cerco.ups-tlse.fr/fr_vers/documents/thorpe_sj_90_91.pdf |format=PDF |pages=91–94 |editor1-first=R. |editor1-last=Eckmiller |editor2-first=G. |editor2-last=Hartmann |editor3-first=G. |editor3-last=Hauske | editor3-link= Gert Hauske |title=Parallel processing in neural systems and computers |url=https://books.google.com/books?id=b9gmAAAAMAAJ |access-date=30 June 2013 |year=1990 |publisher=North-Holland |isbn=978-0-444-88390-2}}</ref> and that neurons follow the principles of information theory and compress information,<ref>{{cite journal |first1=T. |last1=Gedeon |first2=A.E. |last2=Parker |first3=A.G. |last3=Dimitrov |title=Information Distortion and Neural Coding |journal=Canadian Applied Mathematics Quarterly |volume=10 |issue=1 |pages=10 |date=Spring 2002 |url=http://www.math.ualberta.ca/ami/CAMQ/table_of_content/vol_10/10_1c.htm |citeseerx=10.1.1.5.6365 }}</ref> and detect and correct<ref>

{{cite journal |first=M. |last=Stiber |title=Spike timing precision and neural error correction: local behavior |journal=Neural Computation |volume=17 |issue=7 |pages=1577–1601 |date=July 2005 |doi=10.1162/0899766053723069

|pmid=15901408 |arxiv=q-bio/0501021|s2cid=2064645 }}

</ref>

errors in the signals that are sent throughout the brain and wider nervous system.