{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T14:41:10Z","timestamp":1760366470099,"version":"build-2065373602"},"reference-count":50,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,4,5]],"date-time":"2021-04-05T00:00:00Z","timestamp":1617580800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>White noise generators can use uniform random sequences as a basis. However, such a technology may lead to deficient results if the original sequences have insufficient uniformity or omissions of random variables. This article offers a new approach for creating a phase signal generator with an improved matrix of autocorrelation coefficients. As a result, the generated signals of the white noise process have absolutely uniform intensities at the eigen Fourier frequencies. The simulation results confirm that the received signals have an adequate approximation of uniform white noise.<\/jats:p>","DOI":"10.3390\/a14040118","type":"journal-article","created":{"date-parts":[[2021,4,5]],"date-time":"2021-04-05T21:30:29Z","timestamp":1617658229000},"page":"118","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Phase Congruential White Noise Generator"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7735-4016","authenticated-orcid":false,"given":"Aleksei F.","family":"Deon","sequence":"first","affiliation":[{"name":"Department of Information and Control Systems, Bauman Moscow State Technical University, 2nd Baumanskaya St., 5\/1, 105005 Moscow, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3873-052X","authenticated-orcid":false,"given":"Oleg K.","family":"Karaduta","sequence":"additional","affiliation":[{"name":"Biochemistry and Molecular Biology Department, University of Arkansas for Medical Sciences, 4301 W. Markham St., Little Rock, AR 72205, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5861-3641","authenticated-orcid":false,"given":"Yulian A.","family":"Menyaev","sequence":"additional","affiliation":[{"name":"Winthrop P. Rockefeller Cancer Institute, University of Arkansas for Medical Sciences, 4301 W. Markham St., Little Rock, AR 72205, USA"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,5]]},"reference":[{"key":"ref_1","unstructured":"Hida, T. (2005). Stochastic Analysis: Classical and Quantum: Perspectives of White Noise Theory, World Scientific Publishing Company."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Hida, T., and Si, S. (2008). Lectures on White Noise Functionals, World Scientific Publishing Company.","DOI":"10.1142\/5664"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Bernido, C.C., and Carpio, M.V. (2014). Methods and Applications of White Noise Analysis in Interdisciplinary Sciences, World Scientific Publishing Company.","DOI":"10.1142\/8988"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Hida, T., and Streit, L. (2017). Let Us Use White Noise, World Scientific Publishing Company.","DOI":"10.1142\/10472"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Howard, R.M. (2015, January 2\u20136). White noise: A time domain basis. Proceedings of the 2015 International Conference on Noise and Fluctuations (ICNF), Xi\u2019an, China.","DOI":"10.1109\/ICNF.2015.7288581"},{"key":"ref_6","first-page":"81","article-title":"The q-Gamma white noise","volume":"66","author":"Hakeem","year":"2016","journal-title":"Tatra Mt. Math. Publ."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Suryawan, H.P. (2016). Gaussian white noise analysis and its application to Feynman path integral. AIP Conf. Proc. 1707, 030001.","DOI":"10.1063\/1.4940829"},{"key":"ref_8","first-page":"1","article-title":"Malliavin differentiability of solutions of SPDEs with L\u00e9vy white noise","volume":"2017","author":"Balan","year":"2017","journal-title":"Int. J. Stoch. Anal."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1630","DOI":"10.1137\/18M1175239","article-title":"Efficient white noise sampling and coupling for multilevel Monte Carlo with nonnested meshes","volume":"6","author":"Croci","year":"2018","journal-title":"SIAM ASA J. Uncertain. Quantif."},{"key":"ref_10","first-page":"012070","article-title":"A broadband electromagnetic energy harvester with a coupled bistable structure","volume":"476","author":"Zhu","year":"2013","journal-title":"J. Phys."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1090","DOI":"10.1175\/JAS-D-13-0182.1","article-title":"Detecting and classifying events in noisy time series","volume":"71","author":"Kang","year":"2014","journal-title":"J. Atmos. Sci."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Mitsuya, H., Ashizawa, H., Homma, H., Hashiguchi, G., and Toshiyoshi, H. (2019, January 18\u201321). A method to determine the electret charge potential of MEMS vibrational energy harvester using pure white noise. Proceedings of the 2019 IEEE 32nd International Conference on Microelectronic Test Structures (ICMTS), Fukuoka, Japan.","DOI":"10.1109\/ICMTS.2019.8730995"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1109\/LSP.2020.2988172","article-title":"Statistical behavior of Teager-Kaiser energy operator in presence of white gaussian noise","volume":"27","author":"Boudraa","year":"2020","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Pralgauskait\u0117, S., Palenskis, V., Matukas, J., Seliuta, D., Ka\u0161alynas, I., and Valu\u0161is, G. (2013, January 24\u201328). White noise peculiarities in diode structures. Proceedings of the 22nd International Conference on Noise and Fluctuations (ICNF), Montpellier, France.","DOI":"10.1109\/ICNF.2013.6578988"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Paik, H., Sastry, N.N., and SantiPrabha, I. (2014, January 6\u20137). Effectiveness of noise jamming with white gaussian noise and phase noise in amplitude comparison monopulse radar receivers. Proceedings of the 2014 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT), Bangalore, India.","DOI":"10.1109\/CONECCT.2014.6740286"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1109\/LMWC.2018.2808422","article-title":"A broadband microwave noise generator using zener diodes and a new technique for generating white noise","volume":"28","author":"Arslan","year":"2018","journal-title":"IEEE Microw. Wirel. Compon. Lett."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Takada, A. (2019, January 26\u201329). White noise spectra obtained in a phase-locked loop operating like a Josephson junction. Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS), Sapporo, Japan.","DOI":"10.1109\/ISCAS.2019.8702615"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"10070","DOI":"10.1109\/ACCESS.2020.2964754","article-title":"A new aircraft taxiing model based on filtering white noise method","volume":"8","author":"Shi","year":"2020","journal-title":"IEEE Access"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"111791","DOI":"10.1109\/ACCESS.2020.3002571","article-title":"Mean square stabilization of multi-input discrete-time systems over stochastic multiplicative and additive white gaussian noise channels","volume":"8","author":"Shen","year":"2020","journal-title":"IEEE Access"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"180534","DOI":"10.1109\/ACCESS.2020.3027472","article-title":"1D convolutional neural networks versus automatic classifiers for known LPI radar signals under white gaussian noise","volume":"8","author":"Yildirim","year":"2020","journal-title":"IEEE Access"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Oh, H., and Nam, H. (2021). Maximum rate scheduling with adaptive modulation in mixed impulsive noise and additive white gaussian noise environments. IEEE Trans. Wirel. Commun., 1\u201313.","DOI":"10.1109\/TWC.2021.3049124"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/JQE.2020.3038464","article-title":"Influence of additive white gaussian noise on the OEO output","volume":"57","author":"Mukherjee","year":"2021","journal-title":"IEEE J. Quantum Electron."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Ohmori, K., and Amakawa, S. (2021). Direct white noise characterization of short-channel MOSFETs. IEEE Trans. Electron. Devices, 1\u20135.","DOI":"10.36227\/techrxiv.13325237"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1942","DOI":"10.1016\/S0140-6736(05)66660-3","article-title":"Aircraft and road traffic noise and children\u2019s cognition and health: A cross-national study","volume":"365","author":"Stansfeld","year":"2005","journal-title":"Lancet"},{"key":"ref_25","unstructured":"Prochnik, G. (2011). Pursuit of Silence: Listening for Meaning in a World of Noise, Anchor Books. [Reprint ed.]."},{"key":"ref_26","unstructured":"Jespers, P.G.A. (2001). Integrated Converters: D to A and A to D Architectures, Analysis and Simulation, Oxford University Press. [Illustrated ed.]."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Olano, M. (2005, January 30\u201331). Modified noise for evaluation on graphics hardware. Proceedings of the ACM SIGGRAPH\/EUROGRAPHICS Conference on Graphics Hardware HWWS\u201905, Los Angeles, CA, USA.","DOI":"10.1145\/1071866.1071883"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Sun, X. (2013, January 25\u201327). Optimal weighted state fusion white noise deconvolution estimator. Proceedings of the 2013 International Conference on Advanced Mechatronic Systems, Luoyang, China.","DOI":"10.1109\/ICAMechS.2013.6681748"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Liu, W., and Deng, Z. (2017, January 10\u201313). Robust weighted fusion white noise deconvolution estimators with uncertain-variance linearly correlated white noises and missing measurements. Proceedings of the 20th International Conference on Information Fusion, Xi\u2019an, China.","DOI":"10.23919\/ICIF.2017.8009660"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/s10527-006-0042-6","article-title":"Experience in development of therapeutic photomatrix equipment","volume":"40","author":"Menyaev","year":"2006","journal-title":"Biomed. Eng."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1007\/s10527-006-0064-0","article-title":"Experience in the use of therapeutic photomatrix equipment","volume":"40","author":"Menyaev","year":"2006","journal-title":"Biomed. Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"3030","DOI":"10.1364\/BOE.4.003030","article-title":"Optical clearing in photoacoustic flow cytometry","volume":"4","author":"Menyaev","year":"2013","journal-title":"Biomed. Opt. Express"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"3643","DOI":"10.1364\/BOE.7.003643","article-title":"Preclinical photoacoustic models: Application for ultrasensitive single cell malaria diagnosis in large vein and artery","volume":"7","author":"Menyaev","year":"2016","journal-title":"Biomed. Opt. Express"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2019\/3453850","article-title":"The stochastic stability of internal HIV models with gaussian white noise and gaussian colored noise","volume":"2019","author":"Wang","year":"2019","journal-title":"Discret. Dyn. Nat. Soc."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Karaduta, O., Deon, A., and Menyaev, Y. (2020). Designing the uniform stochastic photomatrix therapeutic systems. Algorithms, 13.","DOI":"10.3390\/a13020041"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1016\/j.softx.2018.08.004","article-title":"Shk-9: A new tool in approach of glycoprotein annotation","volume":"7","author":"Karaduta","year":"2018","journal-title":"SoftwareX"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1186\/1744-9081-6-55","article-title":"The effects of background white noise on memory performance in inattentive school children","volume":"6","author":"Loftesnes","year":"2010","journal-title":"Behav. Brain Funct."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1037\/a0023987","article-title":"Noise effects on human performance: A meta-analytic synthesis","volume":"137","author":"Szalma","year":"2011","journal-title":"Psychol. Bull."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0005-1098(96)85549-X","article-title":"Optimal and selftuning white noise estimators with approach to deconvolution and filtering problem","volume":"32","author":"Deng","year":"1996","journal-title":"Automatica"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"129","DOI":"10.5194\/cp-3-129-2007","article-title":"The DO-climate events are probably noise induced: Statistical investigation of the claimed 1470 years cycle","volume":"3","author":"Ditlevsen","year":"2007","journal-title":"Clim. Past"},{"key":"ref_41","unstructured":"Wikipedia (2021, March 17). White Noise. Available online: https:\/\/en.wikipedia.org\/wiki\/White_noise."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/BF00193563","article-title":"A universal statistical test for random bit generators","volume":"5","author":"Maurer","year":"1992","journal-title":"J. Cryptol."},{"key":"ref_43","unstructured":"Kolmogorov, A.N., and Fomin, S.V. (1999). Elements of the Theory of Functions and Functional Analysis, Dover Publication."},{"key":"ref_44","unstructured":"Gnedenko, B. (2020). Theory of Probability, CRC Press. [6th ed.]."},{"key":"ref_45","first-page":"1023","article-title":"The complete set simulation of stochastic sequences without repeated and skipped elements","volume":"22","author":"Deon","year":"2016","journal-title":"J. Univ. Comput. Sci."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"363","DOI":"10.3844\/jcssp.2016.363.378","article-title":"Parametrical tuning of twisting generators","volume":"12","author":"Deon","year":"2016","journal-title":"J. Comput. Sci."},{"key":"ref_47","first-page":"353","article-title":"Twister generator of arbitrary uniform sequences","volume":"23","author":"Deon","year":"2017","journal-title":"J. Univ. Comput. Sci."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"260","DOI":"10.3844\/jcssp.2018.260.272","article-title":"Uniform twister plane generator","volume":"14","author":"Deon","year":"2018","journal-title":"J. Comput. Sci."},{"key":"ref_49","doi-asserted-by":"crossref","unstructured":"Deon, A., and Menyaev, Y. (2019). Poisson twister generator by cumulative frequency technology. Algorithms, 12.","DOI":"10.3390\/a12060114"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3844\/jcssp.2020.1.13","article-title":"Twister generator of random normal numbers by Box-Muller model","volume":"16","author":"Deon","year":"2020","journal-title":"J. Comput. Sci."}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/14\/4\/118\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T14:11:19Z","timestamp":1760364679000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/14\/4\/118"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,5]]},"references-count":50,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2021,4]]}},"alternative-id":["a14040118"],"URL":"https:\/\/doi.org\/10.3390\/a14040118","relation":{},"ISSN":["1999-4893"],"issn-type":[{"type":"electronic","value":"1999-4893"}],"subject":[],"published":{"date-parts":[[2021,4,5]]}}}