Systems and Means of Informatics
2019, Volume 29, Issue 2, pp 95-112RECOVERY OF SIGNAL IN SYSTEMS OF REAL TIME ON UNIFORM SELECTIONS WITH REDUCTION OF NYQUIST INTERVAL
- B. G. Mayorov
Abstract
The mathematical behavior model of signal between two next selections of it is suggested. New general formulas for finding the sinusoidal criterion of the greatest deviation are received. The theorem of reduction of Nyquist interval which connects the criterion of the greatest deviation and the size of constant interval of sampling is proved. The results allow to determine the size of this interval reasonably.[+] References (20)
- Vtyurin, V. A. 2006. Osnovy avtomatizirovannykh sistem upravleniya tekhnologicheskimi protsessami [Fundamentals of automated process control systems]. St. Petersburg: GLTA Publs. 152 p.
- Rohde & Schwarz. 2019. Kontrol'no-izmeritel'noe oborudovanie R&S 2019: Katalog [Control and measuring equipment R&S 2019: Catalogue]. 256 p. Available at: https: //www.rohde-schwarz.com/ru/top_topics_russia/catalogs/catalogs_ 231625.html (accessed April 10, 2019).
- Nyguist, H. 1928. Certain topics in telegraph transmission theory. T. Am. Inst. Electr. Eng. 47(2):617-644.
- Kotelnikov, V. A. 1933. O propusknoy sposobnosti "efira" i provoloki v elektrosvyasi [About the flow capacity of "ether""and wire in telecommunication]. Mat-ly k I Vse- soyuznomu s"ezdu po voprosam tekhnicheskoy rekonstruktsii dela svyasi i razvitiya slabotochnoy promyshlennosti [Materials to the 1st All-Union Congress on Technical Reconstruction of Communication and Development of Low-Current Industry]. Moscow: Redaktsiya upravleniya svyazi RKKA [Editorial board of Communication Department of the Red Army]. 4-5.
- Whittaker, J. 1935. Interpolatory function theory. Cambridge tracts in mathematics and mathematical physics ser. Cambride: Cambridge University Press. No. 33. Ch. IV.
- Shannon, C. 1949. Communication in the presence of noise. P. IRE 37(1):10-21.
- Shannon, C. 1963. Raboty po teorii informatsii i kibernetike [Works on the theory of information and cybernetics]. Moscow: IL. 830 p.
- Lee, I.I.H., and H.A. Bang. 2016. A cooperative line-of-sight guidance law for a three-dimensional phantom track generation using unmanned aerial vehicles. J. Aerospace Eng. 227(6):897-915.
- Apte, S. D. 2016. Signals and systems: Principles and applications. Cambridge: Cambridge University Press. 768 p.
- Liu, X., and D. Li. 2018. Analysis of cooperative jamming against pulse compression radar based on CFAR. EURASIP J. Adv. Sig. Pr. Art. No. 2018:69. P. 1-12. doi: 10.1186/s13634-018-0592-2.
- Khlistunov, V. N. 1961. Applicability of Kotel'nikov's theorem to discrete measurement techniques. Meas. Tech. 4(3):203-207.
- Khlistunov, V. N. 1960. O pogreshnosti approksimatsii diskretnykhmetodovizmereniya [About error of approximation of discrete methods of measurement]. Priborostroenie [Instrument Making] 5:3-5.
- Khlistunov, V.N. 1966. Osnovy tsifrovoy elektroizmeritel'noy tekhniki i tsifrovye preobrazovateli [Fundamentals of digital electric equipment and digitizers]. Moscow- Leningrad: Energiya. 345 p.
- Mayorov, B. G. 2005. The generalized maximum deviation for input signals of control systems. Automat. Rem. Contr. 66(10): 1666-1672.
- Mayorov, B. G. 2004. Issledovanie teoremy Kotel'nikova i primenenie rezul'tatov dlya opredeleniya velichiny diskretizatsii po vremeni vkhodnykh signalov sistem upravleniya [Research of the Kotelnikov's theorem and application of results for determination of size of time sampling of control systems input signals] Vysokoproizvoditel'nye vychislitel'nye sistemy i mikroprotsessory. Sb. nauchnykh trudov IMVS RAN [High- performance computer systems and microprocessors. Scientific Works of IMVS of the Russian Academy of Sciences]. Moscow: IMVS RAS Publs. 7:76-82.
- Mayorov, B. G. 2016. Model' proizvodnoy ot traektorii naibol'shego otkloneniya signala (protsessa) v vide stepennoy funktsii [Model derivative of trajectory of the greatest deviation of signal (process) in the form of power function]. Voprosy radioelektroniki. SOIU ser. [Radioelectronics Problems. Information display systems and control of special equipment ser.] 12:38-43.
- Mayorov, B. G. 2017. Kriteriy naibol'shego otkloneniya signala i opredelenie intervala diskretizatsii vremeni [Criterion of the greatest deviation of signal and definition of interval of sampling of time]. Voprosy radioelektroniki [Radioelectronics Problems] 12:111-119.
- Majorov, B. G. 2010. Diskretizatsiya signalov i protsessov po teoreme Kotel'nikova s uchetom maksimal'nykh znacheniy ikh proizvodnykh po vremeni [Signals and processes sampling under the theorem of Kotelnikov subject to the maximum values of their derivatives on time]. Achievements of Modern Radioelectronics 1:56-63.
- Majorov, B. G. 2011. Opredelenie minimal'nogo intervala diskretizatsii vremeni pri stupenchatoy i lineynoy approksimatsii signala [Conditions definition of minimum range of time sampling interval acquiring at stepwise and linear approximation of the signal]. Achievements of Modern Radioelectronics 3:71-75.
- Mikroskhemy ACP i CAP: Spravochnik [ADC and DAC microchips: Handbook]. 2005. Moscow: Dodeka-XXI Publs. 512 p.
[+] About this article
Title
RECOVERY OF SIGNAL IN SYSTEMS OF REAL TIME ON UNIFORM SELECTIONS WITH REDUCTION OF NYQUIST INTERVALJournal
Systems and Means of InformaticsVolume 29, Issue 2, pp 95-112
Cover Date
2019-05-30DOI
10.14357/08696527190209Print ISSN
0869-6527Publisher
Institute of Informatics Problems, Russian Academy of SciencesAdditional Links
Key words
systems of real time; sinusoidal criterion of the greatest deviation of signal; step or linear approximation of signal on selections; admissible error of approximation; constant interval of sampling of timeAuthors
B. G. Mayorov
Author Affiliations
NPP "Rubin," 2 Baydukova Str., Penza 440000, Russian Federation