{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T23:10:23Z","timestamp":1726701023555},"reference-count":27,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"8","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Fundamentals"],"published-print":{"date-parts":[[2022,8,1]]},"DOI":"10.1587\/transfun.2021eap1117","type":"journal-article","created":{"date-parts":[[2022,2,20]],"date-time":"2022-02-20T22:09:16Z","timestamp":1645394956000},"page":"1101-1109","source":"Crossref","is-referenced-by-count":1,"title":["Rate-Encoding A\/D Converter Based on Spiking Neuron Model with Rectangular Wave Threshold Signal"],"prefix":"10.1587","volume":"E105.A","author":[{"given":"Yusuke","family":"MATSUOKA","sequence":"first","affiliation":[{"name":"Department of Integrated Engineering (EEE Division), National Institute of Technology (NIT), Yonago College"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hiroyuki","family":"KAWASAKI","sequence":"additional","affiliation":[{"name":"Department of Advanced Engineering Course, NIT, Yonago College"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"532","reference":[{"doi-asserted-by":"publisher","unstructured":"[1] Q. Xu, X. Tan, D. Zhu, H. Bao, Y. Hu, and B. Bao, \u201cBifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit,\u201d Chaos, Solitons and Fractals, vol.141, 110353, Dec. 2020. 10.1016\/j.chaos.2020.110353","key":"1","DOI":"10.1016\/j.chaos.2020.110353"},{"doi-asserted-by":"publisher","unstructured":"[2] B. Telenczuk, M. Telenczuk, and A. Destexhe, \u201cA kernel-based method to calculate local field potentials from networks of spiking neurons,\u201d J. Neurosci. Meth., vol.344, 108871, July 2020. 10.1016\/j.jneumeth.2020.108871","key":"2","DOI":"10.1016\/j.jneumeth.2020.108871"},{"doi-asserted-by":"publisher","unstructured":"[3] M. Uzuntarla, J.J. Torres, A. Calim, and E. Barreto, \u201cSynchronization-induced spike termination in networks of bistable neurons,\u201d Neural Networks, vol.110, pp.131-140, 2019. 10.1016\/j.neunet.2018.11.007","key":"3","DOI":"10.1016\/j.neunet.2018.11.007"},{"doi-asserted-by":"crossref","unstructured":"[4] E.M. Izhikevich, \u201cSimple model of spiking neurons,\u201d IEEE Trans. Neural Netw., vol.14, no.6, pp.1569-1572, 2003. 10.1109\/tnn.2003.820440","key":"4","DOI":"10.1109\/TNN.2003.820440"},{"doi-asserted-by":"publisher","unstructured":"[5] Y. Kon&apos;no, T. Saito, and H. Torikai, \u201cRich dynamics of pulse-coupled spiking neurons with a triangular base signal,\u201d Neural Networks, vol.18, no.5-6, pp.523-531, 2005. 10.1016\/j.neunet.2005.06.024","key":"5","DOI":"10.1016\/j.neunet.2005.06.024"},{"doi-asserted-by":"publisher","unstructured":"[6] T. Matsubara and T. Torikai, \u201cNeuron-like responses and bifurcation of a generalized asynchronous sequential logic spiking neuron model,\u201d IEICE Trans. Fundamentals, vol.E95-A, no.8, pp.1317-1328, Aug. 2012. 10.1587\/transfun.e95.a.1317","key":"6","DOI":"10.1587\/transfun.E95.A.1317"},{"doi-asserted-by":"publisher","unstructured":"[7] S. Kirikawa and T. Saito, \u201cFilter-induced bifurcation of simple spike-train dynamics,\u201d IEICE Trans. Fundamentals, vol.E97-A, no.7, pp.1508-1515, July 2014. 10.1587\/transfun.e97.a.1508","key":"7","DOI":"10.1587\/transfun.E97.A.1508"},{"doi-asserted-by":"publisher","unstructured":"[8] H. Uchida and T. Saito, \u201cMulti-phase synchronization phenomena in a ring-coupled system of digital spiking neurons,\u201d IEICE Trans. Fundamentals, vol.E102-A, no.1, pp.235-241, Jan. 2019. 10.1587\/transfun.e102.a.235","key":"8","DOI":"10.1587\/transfun.E102.A.235"},{"doi-asserted-by":"publisher","unstructured":"[9] N. Anwani and B. Rajendran, \u201cTraining multi-layer spiking neural networks using NormAD based spatio-temporal error backpropagation,\u201d Neurocomputing, vol.380, pp.67-77, 2020. 10.1016\/j.neucom.2019.10.104","key":"9","DOI":"10.1016\/j.neucom.2019.10.104"},{"doi-asserted-by":"publisher","unstructured":"[10] H. Rapp, M.P. Nawrot, and M. Stern, \u201cNumerical cognition based on precise counting with a single spiking neuron,\u201d iScience, vol.23, 100852, Feb. 2020. 10.1016\/j.isci.2020.100852","key":"10","DOI":"10.1016\/j.isci.2020.100852"},{"doi-asserted-by":"crossref","unstructured":"[11] J.J. Lovelace, J.T. Rickard, and K.J. Cios, \u201cA spiking neural network alternative for the analog to digital converter,\u201d IEEE World Congress on Computational Intelligence (IJCNN), pp.463-470, 2010. 10.1109\/ijcnn.2010.5596909","key":"11","DOI":"10.1109\/IJCNN.2010.5596909"},{"doi-asserted-by":"publisher","unstructured":"[12] H. Hamanaka, H. Torikai, and T. Saito, \u201cQuantized spiking neuron with A\/D conversion functions,\u201d IEEE Trans. Circuits Syst. II, Exp. Briefs, vol.53, no.10, pp.1049-1053, 2006. 10.1109\/tcsii.2006.882208","key":"12","DOI":"10.1109\/TCSII.2006.882208"},{"doi-asserted-by":"publisher","unstructured":"[13] H. Torikai, A. Tanaka, and T. Saito, \u201cArtificial spiking neurons and analog-to-digital-to analog conversion,\u201d IEICE Trans. Fundamentals, vol.E91-A, no.6, pp.1455-1462, June 2008. 10.1093\/ietfec\/e91-a.6.1455","key":"13","DOI":"10.1093\/ietfec\/e91-a.6.1455"},{"doi-asserted-by":"publisher","unstructured":"[14] O. Feely and L.O. Chua, \u201cThe effect of integrator leak in \u03a3-\u0394 modulation,\u201d IEEE Trans. Circuit. Syst., vol.38, no.11, pp.1293-1305, 1991. 10.1109\/31.99158","key":"14","DOI":"10.1109\/31.99158"},{"doi-asserted-by":"crossref","unstructured":"[15] I. Daubechies, R.A. DeVore, C.S. Gunturk, and V.A. Vaishampayan, \u201cBeta expansions: A new approach to digitally corrected A\/D conversions,\u201d Proc. IEEE Int. Symp. Circuits Syst., vol.2, pp.784-787, 2002. 10.1109\/iscas.2002.1011470","key":"15","DOI":"10.1109\/ISCAS.2002.1011470"},{"doi-asserted-by":"publisher","unstructured":"[16] T. Makino, Y. Iwata, K. Shinohara, Y. Jitsumatsu, M. Hotta, H. San, and K. Aihara, \u201cRigorous estimates of quantization error for A\/D converters based on beta-map,\u201d Nonlinear Theory and Its Applications, IEICE, vol.6, no.1, pp.99-111, 2015. 10.1587\/nolta.6.99","key":"16","DOI":"10.1587\/nolta.6.99"},{"doi-asserted-by":"publisher","unstructured":"[17] K. Shinohara and K. Kobayashi, \u201cEstimation of mean squared errors of non-binary A\/D-encoders through Fredholm determinants of piecewise-linear transformations,\u201d Nonlinear Theory and Its Applications, IEICE, vol.9, no.2, pp.243-258, 2018. 10.1587\/nolta.9.243","key":"17","DOI":"10.1587\/nolta.9.243"},{"doi-asserted-by":"publisher","unstructured":"[18] Y. Matsuoka and T. Saito, \u201cRich superstable phenomena in a piecewise constant nonautonomous circuit with impulsive switching,\u201d IEICE Trans. Fundamentals, vol.E89-A, no.10, pp.2767-2774, Oct. 2006. 10.1093\/ietfec\/e89-a.10.2767","key":"18","DOI":"10.1093\/ietfec\/e89-a.10.2767"},{"unstructured":"[19] H. Asahara, J. Hosokawa, K. Aihara, S. Banerjee, and T. Kousaka, \u201cAlmost super stable periodic orbit in an electric impact oscillator,\u201d International Symposium on Nonlinear Theory and its Applications, pp.22-26, 2012.","key":"19"},{"doi-asserted-by":"publisher","unstructured":"[20] C. Wagner and R. Stoop, \u201cRenormalization approach to optimal limiter control in 1-D chaotic systems,\u201d J. Stat. Phys., vol.106, pp.97-107, 2002. 10.1023\/a:1013120112236","key":"20","DOI":"10.1023\/A:1013120112236"},{"doi-asserted-by":"publisher","unstructured":"[21] R. Takahashi and T. Saito, \u201cA simple integrate-and-fire system and various super-stable periodic orbits,\u201d Nonlinear Theory and Its Applications, IEICE, vol.9, no.1, pp.11-23, 2018. 10.1587\/nolta.9.11","key":"21","DOI":"10.1587\/nolta.9.11"},{"doi-asserted-by":"publisher","unstructured":"[22] I. Sushko, L. Gardini, and K. Matsuyama, \u201cSuperstable credit cycles and U-sequence,\u201d Chaos, Solitons and Fractals, vol.59, pp.13-27, 2014. 10.1016\/j.chaos.2013.11.006","key":"22","DOI":"10.1016\/j.chaos.2013.11.006"},{"doi-asserted-by":"publisher","unstructured":"[23] S. Doi, \u201cOn periodic orbits of trapezoid maps,\u201d Adv. Appl. Math., vol.4, no.2, pp.184-199, 1993. 10.1006\/aama.1993.1010","key":"23","DOI":"10.1006\/aama.1993.1010"},{"doi-asserted-by":"publisher","unstructured":"[24] K. Takeda and H. Torikai, \u201cA novel spike-train generator suitable for QCA implementation towards UWB-IR applications,\u201d Nonlinear Theory and Its Applications, IEICE, vol.9, no.4, pp.436-452, 2018. 10.1587\/nolta.9.436","key":"24","DOI":"10.1587\/nolta.9.436"},{"doi-asserted-by":"publisher","unstructured":"[25] Y. Matsuoka, \u201cComplicated superstable periodic orbits in simple spiking neuron model with rectangular threshold signal,\u201d IEICE Trans. Fundamentals, vol.E101-A, no.11, pp.1944-1948, Nov. 2018. 10.1587\/transfun.e101.a.1944","key":"25","DOI":"10.1587\/transfun.E101.A.1944"},{"doi-asserted-by":"publisher","unstructured":"[26] Y. Matsuoka and T. Saito, \u201cRotation map with a controlling segment: Basic analysis and application to A\/D converters,\u201d IEICE Trans. Fundamentals, vol.E91-A, no.7, pp.1725-1732, July 2008. 10.1093\/ietfec\/e91-a.7.1725","key":"26","DOI":"10.1093\/ietfec\/e91-a.7.1725"},{"unstructured":"[27] H. Kawasaki and Y. Matsuoka, \u201cAnalysis of spike time series characteristics of spiking neuron model with rectangular threshold signal,\u201d IEICE Technical Report, NLP2020-57, 2021 (in Japanese).","key":"27"}],"container-title":["IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transfun\/E105.A\/8\/E105.A_2021EAP1117\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T22:37:39Z","timestamp":1726699059000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transfun\/E105.A\/8\/E105.A_2021EAP1117\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,1]]},"references-count":27,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2022]]}},"URL":"https:\/\/doi.org\/10.1587\/transfun.2021eap1117","relation":{},"ISSN":["0916-8508","1745-1337"],"issn-type":[{"type":"print","value":"0916-8508"},{"type":"electronic","value":"1745-1337"}],"subject":[],"published":{"date-parts":[[2022,8,1]]},"article-number":"2021EAP1117"}}