{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T04:34:42Z","timestamp":1775018082873,"version":"3.50.1"},"reference-count":15,"publisher":"Pleiades Publishing Ltd","issue":"2","license":[{"start":{"date-parts":[[2023,7,1]],"date-time":"2023-07-01T00:00:00Z","timestamp":1688169600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,7,1]],"date-time":"2023-07-01T00:00:00Z","timestamp":1688169600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Probl Inf Transm"],"published-print":{"date-parts":[[2023,7]]},"DOI":"10.1134\/s0032946023020035","type":"journal-article","created":{"date-parts":[[2023,12,23]],"date-time":"2023-12-23T17:02:02Z","timestamp":1703350922000},"page":"99-114","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Near-Ideal Predictors and Causal Filters for Discrete-Time Signals"],"prefix":"10.1134","volume":"59","author":[{"given":"N. G.","family":"Dokuchaev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","published-online":{"date-parts":[[2023,12,23]]},"reference":[{"key":"5077_CR1","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/978-1-4613-9757-1_5","volume-title":"Advanced Topics in Shannon Sampling and Interpolation Theory","author":"P.L. Butzer","year":"1993","unstructured":"Butzer, P.L. and Stens, R.L., Linear Prediction by Samples from the Past, Advanced Topics in Shannon Sampling and Interpolation Theory, Marks, R.J., Ed., New York: Springer, 1993, pp.\u00a0157\u2013183. https:\/\/doi.org\/10.1007\/978-1-4613-9757-1_5"},{"key":"5077_CR2","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198596998.001.0001","volume-title":"Sampling Theory in Fourier and Signal Analysis: Foundations","author":"J.R. Higgins","year":"1996","unstructured":"Higgins, J.R., Sampling Theory in Fourier and Signal Analysis: Foundations, Oxford: Clarendon; New York: Oxford Univ. Press, 1996."},{"issue":"7","key":"5077_CR3","doi-asserted-by":"publisher","first-page":"1081","DOI":"10.1002\/for.2677","volume":"39","author":"Z. Li","year":"2020","unstructured":"Li, Z., Han, J., and Song, Y., On the Forecasting of High-Frequency Financial Time Series Based on ARIMA Model Improved by Deep Learning, J. Forecast., 2020, vol.\u00a039, no.\u00a07, pp.\u00a01081\u20131097. https:\/\/doi.org\/10.1002\/for.2677","journal-title":"J. Forecast."},{"key":"5077_CR4","doi-asserted-by":"publisher","first-page":"203183","DOI":"10.1109\/ACCESS.2020.3037102","volume":"8","author":"S. Luo","year":"2020","unstructured":"Luo, S. and Tian, C., Financial High-Frequency Time Series Forecasting Based on Sub-step Grid Search Long Short-Term Memory Network, IEEE Access, 2020, vol.\u00a08, pp.\u00a0203183\u2013203189. https:\/\/doi.org\/10.1109\/ACCESS.2020.3037102","journal-title":"IEEE Access"},{"issue":"6","key":"5077_CR5","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1109\/TIT.1979.1056115","volume":"25","author":"J.J. Knab","year":"1979","unstructured":"Knab, J.J., Interpolation of Band-Limited Functions Using the Approximate Prolate Series, IEEE Trans. Inform. Theory, 1979, vol.\u00a025, no.\u00a06, pp.\u00a0717\u2013720. https:\/\/doi.org\/10.1109\/TIT.1979.1056115","journal-title":"IEEE Trans. Inform. Theory"},{"issue":"2","key":"5077_CR6","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1109\/78.823959","volume":"48","author":"R.J. Lyman","year":"2000","unstructured":"Lyman, R.J., Edmonson, W.W., McCullough, S., and Rao, M., The Predictability of Continuous-Time, Bandlimited Processes, IEEE Trans. Signal Process., 2000, vol.\u00a048, no.\u00a02, pp.\u00a0311\u2013316. https:\/\/doi.org\/10.1109\/78.823959","journal-title":"IEEE Trans. Signal Process."},{"issue":"7","key":"5077_CR7","doi-asserted-by":"publisher","first-page":"1564","DOI":"10.1109\/78.928709","volume":"49","author":"R.J. Lyman","year":"2001","unstructured":"Lyman, R.J. and Edmonson, W.W., Linear Prediction of Bandlimited Processes with Flat Spectral Densities, IEEE Trans. Signal Process., 2001, vol.\u00a049, no.\u00a07, pp.\u00a01564\u20131569. https:\/\/doi.org\/10.1109\/78.928709","journal-title":"IEEE Trans. Signal Process."},{"issue":"8","key":"5077_CR8","doi-asserted-by":"publisher","first-page":"1332","DOI":"10.1109\/PROC.1985.13284","volume":"73","author":"A. Papoulis","year":"1985","unstructured":"Papoulis, A., A Note on the Predictability of Band-limited Processes, Proc. IEEE, 1985, vol.\u00a073, no.\u00a08, pp.\u00a01332\u20131333. https:\/\/doi.org\/10.1109\/PROC.1985.13284","journal-title":"Proc. IEEE"},{"issue":"8","key":"5077_CR9","doi-asserted-by":"publisher","first-page":"1125","DOI":"10.1109\/PROC.1987.13856","volume":"75","author":"P.P. Vaidyanathan","year":"1987","unstructured":"Vaidyanathan, P.P., On Predicting a Band-limited Signal Based on Past Sample Values, Proc. IEEE, 1987, vol.\u00a075, no.\u00a08, pp.\u00a01125\u20131127. https:\/\/doi.org\/10.1109\/PROC.1987.13856","journal-title":"Proc. IEEE"},{"issue":"11","key":"5077_CR10","doi-asserted-by":"publisher","first-page":"6027","DOI":"10.1109\/TSP.2012.2212436","volume":"60","author":"N. Dokuchaev","year":"2012","unstructured":"Dokuchaev, N., Predictors for Discrete Time Processes with Energy Decay on Higher Frequencies, IEEE Trans. Signal Process., 2012, vol.\u00a060, no.\u00a011, pp.\u00a06027\u20136030. https:\/\/doi.org\/10.1109\/TSP.2012.2212436","journal-title":"IEEE Trans. Signal Process."},{"issue":"10","key":"5077_CR11","doi-asserted-by":"publisher","first-page":"2571","DOI":"10.1016\/j.sigpro.2012.04.006","volume":"92","author":"N. Dokuchaev","year":"2012","unstructured":"Dokuchaev, N., On Predictors for Band-limited and High-Frequency Time Series, Signal Process., 2012, vol.\u00a092, no.\u00a010, pp.\u00a02571\u20132575. https:\/\/doi.org\/10.1016\/j.sigpro.2012.04.006","journal-title":"Signal Process."},{"issue":"1","key":"5077_CR12","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1016\/j.sigpro.2015.07.002","volume":"118","author":"N. Dokuchaev","year":"2016","unstructured":"Dokuchaev, N., Near-ideal Causal Smoothing Filters for the Real Sequences, Signal Process., 2016, vol.\u00a0118, no.\u00a01, pp.\u00a0285\u2013293. https:\/\/doi.org\/10.1016\/j.sigpro.2015.07.002","journal-title":"Signal Process."},{"issue":"5","key":"5077_CR13","doi-asserted-by":"publisher","first-page":"1037","DOI":"10.1002\/for.2843","volume":"41","author":"N. Dokuchaev","year":"2022","unstructured":"Dokuchaev, N., Limited Memory Predictors Based on Polynomial Approximation of Periodic Exponentials, J. Forecast., 2022, vol.\u00a041, no.\u00a05, pp.\u00a01037\u20131045. https:\/\/doi.org\/10.1002\/for.2843","journal-title":"J. Forecast."},{"issue":"4","key":"5077_CR14","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1134\/S003294602204007X","volume":"58","author":"N.G. Dokuchaev","year":"2022","unstructured":"Dokuchaev, N.G., Predictors for High Frequency Signals Based on Rational Polynomial Approximation of Periodic Exponentials, Probl. Peredachi Inf., 2022, vol.\u00a058, no.\u00a04, pp.\u00a084\u201394 [Probl. Inf. Transm. (Engl. Transl.), 2022, vol.\u00a058, no.\u00a04, pp.\u00a0372\u2013381]. https:\/\/doi.org\/10.1134\/S003294602204007X","journal-title":"Probl. Peredachi Inf."},{"issue":"4","key":"5077_CR15","doi-asserted-by":"publisher","first-page":"167","DOI":"10.2307\/3029750","volume":"21","author":"M.H. Stone","year":"1948","unstructured":"Stone, M.H., The Generalized Weierstrass Approximation Theorem, Math. Mag., 1948, vol.\u00a021, no.\u00a04, pp.\u00a0167\u2013184; no.\u00a05, pp.\u00a0237\u2013254 (continued). https:\/\/doi.org\/10.2307\/3029750; https:\/\/doi.org\/10.2307\/3029337","journal-title":"Math. Mag."}],"container-title":["Problems of Information Transmission"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946023020035.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0032946023020035","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0032946023020035.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T02:49:52Z","timestamp":1775011792000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0032946023020035"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["5077"],"URL":"https:\/\/doi.org\/10.1134\/s0032946023020035","relation":{"is-translation-of":[{"id-type":"doi","id":"10.31857\/S0555292323020031","asserted-by":"subject"}]},"ISSN":["0032-9460","1608-3253"],"issn-type":[{"value":"0032-9460","type":"print"},{"value":"1608-3253","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7]]},"assertion":[{"value":"25 February 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 March 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 March 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 December 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The author of this work declares that he has no conflicts of interest.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}}]}}