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On the Distribution of p-Error Linear Complexity of p-Ary Sequences with Period pn

Miao TANG, Juxiang WANG, Minjia SHI, Jing LIANG
<span title="2019-12-01">2019</span> <i title="Institute of Electronics, Information and Communications Engineers (IEICE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xosmgvetnbf4zpplikelekmdqe" style="color: black;">IEICE transactions on information and systems</a> </i> &nbsp;
Linear complexity and the k-error linear complexity of periodic sequences are the important security indices of stream cipher systems.  ...  This paper focuses on the distribution of p-error linear complexity of p-ary sequences with period p n .  ...  This work was supported by the Key Projects of the Natural Science Fund of Anhui Colleges and Universities (KJ2017A136, KJ2019JD17, KJ2017A623) and the Key Projects of Support Program for Excellent Young  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1587/transinf.2019edl8093">doi:10.1587/transinf.2019edl8093</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ukhi3jof5rgbpkn75wsiist7j4">fatcat:ukhi3jof5rgbpkn75wsiist7j4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200509224915/https://www.jstage.jst.go.jp/article/transinf/E102.D/12/E102.D_2019EDL8093/_pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/87/e1/87e17be70cc23db6e2791020024c514eed3e2045.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1587/transinf.2019edl8093"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

On the Computation of the Linear Complexity and the k-Error Linear Complexity of Binary Sequences with Period a Power of Two [chapter]

Ana Sălăgean
<span title="">2005</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
We also develop an algorithm which, given a constant c and an infinite binary sequence s with period = 2 n , computes the minimum number k of errors (and the associated error sequence) needed over a period  ...  The linear Games-Chan algorithm for computing the linear complexity c(s) of a binary sequence s of period = 2 n requires the knowledge of the full sequence, while the quadratic Berlekamp-Massey algorithm  ...  The k-error linear complexity of a periodic sequence s of period N is the minimum linear complexity that can be obtained for s by modifying up to k terms in one period (and modifying all other periods  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/11423461_11">doi:10.1007/11423461_11</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5xrzr2ah3jaaholmzhv37xomru">fatcat:5xrzr2ah3jaaholmzhv37xomru</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200310171837/https://s3-eu-west-1.amazonaws.com/pstorage-loughborough-53465/17019512/IEEEkerrorsalageanrevised2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3b/bb/3bbb30cf660d5a705c5c2f8221464926fa9eb762.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/11423461_11"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Quadrature Formulas on the Unit Circle and Two-Point Padé Approximation [chapter]

Adhemar Bultheel, Pablo González-Vera, Erik Hendriksen, Olav Njåstad
<span title="">1994</span> <i title="Springer Netherlands"> Nonlinear Numerical Methods and Rational Approximation II </i> &nbsp;
In this paper our aim is to estimate integrals of the form [,"if} = J~... f(ei9)dl-£(8) where 1-£ is, in general a complex measure.  ...  Under appropriate assumptions on the function f we show that such quadratures are immediately related to the estimation of the so-called Riesz-Herglotz transform of the measure 1-£.  ...  Let In{J} be the sequence of quadratures (Szego formulas) based on the zeros of Xn(z) = Pn(z) + wnP~(z), n = 1,2, .... (The {Pn} are the monic Szego polynomials.)  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-94-011-0970-3_26">doi:10.1007/978-94-011-0970-3_26</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u4mw7suuorgf7iyn2uwqatm564">fatcat:u4mw7suuorgf7iyn2uwqatm564</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170816044042/https://lirias.kuleuven.be/bitstream/123456789/131320/1/antw3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0e/88/0e882112f403e8961aa251b58350839af32844a9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-94-011-0970-3_26"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions

Petr Přikryl
<span title="">1972</span> <i title="Institute of Mathematics, Czech Academy of Sciences"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lqk6gx24ffgo5cpnsql7ttwg4u" style="color: black;">Časopis pro pěstování matematiky</a> </i> &nbsp;
The statement regarding the sequences of approximations may be obtained on the basis of Remark 5A immediately. Remark 5.3. The foregoing theorem requires that {g k (p)} be linearly independent on P.  ...  *=i We suppose g k (p), k = 1, 2, ..., n to be complex-valued functions of an integer argument p defined on P.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21136/cpm.1972.108675">doi:10.21136/cpm.1972.108675</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3o3m64abmvd6rdbsl4buib3n7e">fatcat:3o3m64abmvd6rdbsl4buib3n7e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200812213225/https://dml.cz/bitstream/handle/10338.dmlcz/108675/CasPestMat_097-1972-3_3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d4/31/d4318a133889d89118aaae6a4bb155a039774d66.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21136/cpm.1972.108675"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Multicarrier Chirp-Division Multiplexing for Wireless Communications [article]

Song-Wen Huang, Dimitris A. Pados
<span title="2019-01-17">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The bit-error-rate (BER) performance of the MCDM system is evaluated in simulations and indoor radio frequency (RF) experiments.  ...  Proposed MCDM systems have both advantages of chirp waveforms and multicarrier architectures. Computational complexity of our proposed detector is discussed in detail.  ...  The first set of PN-training sequences is in time range ∈ [0, Tpn 2 ], and the second set contains identical PN-training sequences, whereas shifted in time for Tpn 2 .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1812.09592v2">arXiv:1812.09592v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/agwikwk6uvhkhlokps6jo563py">fatcat:agwikwk6uvhkhlokps6jo563py</a> </span>
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Modelling nonlinear sequence generators in terms of linear cellular automata

Amparo Fúster-Sabater, Dolores de la Guía-Martínez
<span title="">2007</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gtpvsgujvfb5fjb2m4xzlxum6a" style="color: black;">Applied Mathematical Modelling</a> </i> &nbsp;
The linearity of these cellular models can be advantageously used in two different ways: (a) for the analysis and/or cryptanalysis of the CCSGs and (b) for the reconstruction of the output sequence obtained  ...  In fact, a pair of linear models describing the behavior of the CCSGs can be derived.  ...  Moreover, remark that the output sequence for these generators is an interleaved sequence [11] made out of a fixed PN-sequence.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.apm.2005.08.013">doi:10.1016/j.apm.2005.08.013</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u6hwyco5frfvrhjgeh2vvrvpa4">fatcat:u6hwyco5frfvrhjgeh2vvrvpa4</a> </span>
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Frequency Hopping Spread Spectrum Security Improvement with Encrypted Spreading Codes in a Partial Band Noise Jamming Environment

Amirhossein Ebrahimzadeh, Abolfazl Falahati
<span title="">2013</span> <i title="Scientific Research Publishing, Inc,"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fwygz7e3z5d5rdz63lntpjwy6y" style="color: black;">Journal of Information Security</a> </i> &nbsp;
The primary objective of this paper is to analyze vulnerability of linear feedback shift register (LFSRs) codes.  ...  For this reason, unencrypted M-sequences are a deficient choice for the spreading code when a high level of security is required.  ...  The fast correlation attack method based on a recently established linear statistical weakness of decimated LFSR sequences for reconstruction of LFSR code is described in [8] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4236/jis.2013.41001">doi:10.4236/jis.2013.41001</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pvndaunqqfhthh45mtm4tmeuc4">fatcat:pvndaunqqfhthh45mtm4tmeuc4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20140917133316/http://www.scirp.org/journal/PaperDownload.aspx?paperID=27525" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/13/d2/13d25e4bacfb64c9c06f3227ca62a9197f72ffaf.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4236/jis.2013.41001"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Toeplitz matrix techniques and convergence of complex weight Padé approximants

Alphonse P. Magnus
<span title="">1987</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/av75skmu6neednu63f27tpk7qu" style="color: black;">Journal of Computational and Applied Mathematics</a> </i> &nbsp;
The rate of decrease of the error is also described.  ...  One considers diagonal Pad~ approximants about m of functions of the form f(z)=f2 (z-x) lw(x)dx, z~[-1,1], 1 where w is an integrable, possibly complex-valued, function defined on [-1, 1].  ...  A bounded linear operator on the space 12 of complex square summable sequences x = {x~}~=l, l[ x [[2 = F~= 1 ix k [2 < 0% can always be represented by an array {am, k}m~,k=x of complex numbers in such  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0377-0427(87)80005-5">doi:10.1016/s0377-0427(87)80005-5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/b5zgp3v7frgfbdex4674f73zle">fatcat:b5zgp3v7frgfbdex4674f73zle</a> </span>
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Page 6817 of Mathematical Reviews Vol. , Issue 99j [page]

<span title="">1999</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Since a Banach limit is defined only on the space of bounded real se- quences, /,, cannot stand for the space of bounded complex sequences that the authors introduce.  ...  Then in three consecutive chapters the estimation of the error of cubature formulas for periodic functions and the methods of M. Zlamal and Peano are considered. Bl.  ... 
<span class="external-identifiers"> </span>
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Representations of Generalized Self-Shrunken Sequences

Sara D. Cardell, Joan-Josep Climent, Amparo Fúster-Sabater, Verónica Requena
<span title="2020-06-19">2020</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ye33srllvnanjouxn4tmrfgjsq" style="color: black;">Mathematics</a> </i> &nbsp;
Two of them, the p and G-representations, are based on the parameters p and G corresponding to shifts and binary vectors, respectively, used to compute the shifted versions of the original PN-sequence.  ...  Output sequences of the cryptographic pseudo-random number generator, known as the generalized self-shrinking generator, are obtained self-decimating Pseudo-Noise (PN)-sequences with shifted versions of  ...  Indeed, the period of {z n } n≥0 is the period of the binomial sequence ( n ν ) and the linear complexity of {z n } n≥0 is the linear complexity of the binomial sequence ( n ν ) , that is LC = ν + 1 (see  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/math8061006">doi:10.3390/math8061006</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/chdy6qjzzfhxnmnmcuhcorpgk4">fatcat:chdy6qjzzfhxnmnmcuhcorpgk4</a> </span>
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Sparse polynomial interpolation codes and their decoding beyond half the minimum distance

Erich L. Kaltofen, Clément Pernet
<span title="">2014</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p5cu7ybzmnd3jpp7pphgogfzpi" style="color: black;">Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation - ISSAC &#39;14</a> </i> &nbsp;
Our new polynomial-time list decoding algorithm uses sub-sequences of the received evaluations indexed by a linear progression, allowing the decoding for a larger radius, that is, more errors in the evaluations  ...  We present algorithms performing sparse univariate polynomial interpolation with errors in the evaluations of the polynomial. Based on the initial work by Comer, Kaltofen and Pernet [Proc.  ...  is the linear complexity of the sequence.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2608628.2608660">doi:10.1145/2608628.2608660</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/issac/KaltofenP14.html">dblp:conf/issac/KaltofenP14</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/n3jafw4ngjh5rmac7khab75aum">fatcat:n3jafw4ngjh5rmac7khab75aum</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170829063548/http://www4.ncsu.edu/~kaltofen/bibliography/14/KaPe14.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/73/83/738315a0a724a40b983f561f4f8ece4c0d77b043.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2608628.2608660"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

On the Use of Cellular Automata in Symmetric Cryptography

A. Fúster-Sabater, P. Caballero-Gil
<span title="2006-08-15">2006</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f7urm4bbgjhwlj2q4zsk6lgr5e" style="color: black;">Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications</a> </i> &nbsp;
The algorithm that converts the given generator into a linear model based on automata is very simple and is based on the concatenation of a basic structure.  ...  In this work, pseudorandom sequence generators based on finite fields have been analyzed from the point of view of their cryptographic application.  ...  same time, all the sequences in a cycle will have the same period and linear complexity [18] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10440-006-9041-6">doi:10.1007/s10440-006-9041-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7tb6galz3ffm3oudhqeu5jhz34">fatcat:7tb6galz3ffm3oudhqeu5jhz34</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-1005.1771/1005.1771.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/45/32/4532b2bf7dedfddb444949bf47e7f2e9152e63fb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10440-006-9041-6"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Two-stage hybrid decision feedback equalization for DS-CDMA systems

Le-Nam Tran, Een-Kee Hong, Huaping Liu
<span title="">2008</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ra4txhbrwnbwzk3lwinyjovpbe" style="color: black;">IEEE Transactions on Wireless Communications</a> </i> &nbsp;
Simulation results demonstrate the superior error performance of the proposed scheme over the frequency domain linear equalization (FD-LE) and RAKE schemes in highly dispersive channels.  ...  The proposed HDFE is carried out in two stages to improve the accuracy of the feedback signals by exploiting the spreading gain in the feedback filter.  ...  This transmission format is also known as 'PN-extension' [6] , since a PN sequence is chosen as the unique word.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/twc.2008.061005">doi:10.1109/twc.2008.061005</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/o6vkok7wnverfahuvo4hhme7ja">fatcat:o6vkok7wnverfahuvo4hhme7ja</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170830050358/http://web.engr.oregonstate.edu/~hliu/papers/Hong_TW.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/73/26/73266da6349cc0fa9df5827cc16b04a8493d26a3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/twc.2008.061005"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Cellular Automata in Stream Ciphers [article]

Amparo Fúster-Sabater
<span title="2010-05-18">2010</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The algorithm that converts the given generator into a linear model based on automata is very simple and can be applied in a range of practical interest.  ...  A wide family of nonlinear sequence generators, the so-called clock-controlled shrinking generators, has been analyzed and identified with a subset of linear cellular automata.  ...  At the same time, all the sequences in a cycle will have the same period and linear complexity [17] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1005.3224v1">arXiv:1005.3224v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jadmopojwjfqrljgtaebdaw33a">fatcat:jadmopojwjfqrljgtaebdaw33a</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-1005.3224/1005.3224.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b0/23/b0230739d66d7901ecbea70b798c8d5f8cf9f9e4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1005.3224v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

The Main Sequence of Saccades Optimizes Speed-accuracy Trade-off

Christopher M. Harris, Daniel M. Wolpert
<span title="2006-03-23">2006</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yygdrbxuwbhipmoa6ihwvrwwue" style="color: black;">Biological cybernetics</a> </i> &nbsp;
We propose that a fundamental constraint on the deployment of foveal vision lies in the motor system that is perturbed by signal-dependent noise (proportional noise) on the motor command.  ...  In primates, it is well known that there is a consistent relationship between the duration, peak velocity and amplitude of saccadic eye movements, known as the 'main sequence'.  ...  Acknowledgements This project was supported by grants from the Wellcome Trust and Human Frontiers Science Program.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00422-006-0064-x">doi:10.1007/s00422-006-0064-x</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/16555070">pmid:16555070</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC2637438/">pmcid:PMC2637438</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kxnkvcys5nhm7p6gj7x2e7vrrm">fatcat:kxnkvcys5nhm7p6gj7x2e7vrrm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20080424172637/http://learning.eng.cam.ac.uk/wolpert/publications/papers/HarWol06.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ca/a0/caa0d3aa3deb2e927af109ad12a549c2b457e8d1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00422-006-0064-x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2637438" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>
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