Vladimir Alekseevich Varyukhin (December 14, 1921, vil. Zarvantsy,

Vinnitsa Vinnytsia ( ; uk, Вінниця, ; yi, װיניצע) is a city in west-central Ukraine, located on the banks of the Southern Bug. It is the administrative center of Vinnytsia Oblast and the largest city in the historic region of Podillia. A ...

district, Vinnitsa region,

Ukraine Ukraine ( uk, Україна, Ukraïna, ) is a country in Eastern Europe. It is the second-largest European country after Russia, which it borders to the east and northeast. Ukraine covers approximately . Prior to the ongoing Russian inv ...

— July 8, 2007,

Kyiv Kyiv, also spelled Kiev, is the capital and most populous city of Ukraine. It is in north-central Ukraine along the Dnieper, Dnieper River. As of 1 January 2021, its population was 2,962,180, making Kyiv the List of European cities by populat ...

) was a Soviet and Ukrainian scientist,

Professor Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who pr ...

, Doctor of Technical Sciences, Honored Scientist of the UkrSSR,

Major-General Major general (abbreviated MG, maj. gen. and similar) is a military rank used in many countries. It is derived from the older rank of sergeant major general. The disappearance of the "sergeant" in the title explains the apparent confusion of a ...

, founder of the theory of multichannel analysis, and creator of the scientific school on

digital antenna array Digital antenna array (DAA) is a smart antenna with multi channels digital beamforming, usually by using fast Fourier transform (FFT). The development and practical realization of digital antenna arrays theory started in 1962 under the guidance ...

s (DAAs).

Scientific results

In 1962, he founded the well-known scientific school on multichannel analysis and

s.Slyusar V. I. Origins of the Digital Antenna Array Theory.// International Conference on Antenna Theory and Techniques, 24–27 May 2017, Kyiv, Ukraine. — P. 200

/ref> The theory of multichannel analysis that was developed by him considers the methods of determination of the angular coordinates of sources as functions of the angular distances between the sources and the phase and energy relations between signals and gives the basis for the functional schemes of units realizing the theoretical conclusions. The determination of the parameters of sources is carried on by the direct solution of systems of high-order

transcendental equation In applied mathematics, a transcendental equation is an equation over the real number, real (or complex number, complex) numbers that is not algebraic equation, algebraic, that is, if at least one of its sides describes a transcendental function. ...

s describing the response function of a multichannel analyzer. In this case, the super-Rayleigh resolution of the sources of signals is ensured.V.A. Varyukhin, Fundamental Theory of Multichannel Analysis (VA PVO SV, Kyiv, 1993) n Russian/ref> The difficulties arising at the solution of the transcendental systems of high-order equations were overcome by V. A. Varyukhin by means of the “separation” of the unknowns, at which the determination of angular coordinates is reduced to the solution of algebraic equations, and the complex amplitudes are found by the solution of the linear systems of equations of the N-th order. The Interdepartmental scientific-technical meeting organized in 1977 by the Scientific Council of the

USSR Academy of Sciences The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991, uniting the country's leading scientists, subordinated directly to the Council of Ministers of the Soviet Union (until 1946 ...

on the problem “Statistical radiophysics” (Chairman — Academician Yuri Kobzarev) dated officially the start of the studies performed under the guidance of V. A. Varyukhin in the trend of

s by 1962 and recognized the priority of Varyukhin's scientific school in the development and practical realization of the theory of multichannel analysis. In the subsequent years, V. A. Varyukhin supervised a number of theoretical works realized in several experimental radar stations with DAAs which were successfully tested on testing sites.Slyusar, V.I. The way of correction of DAA receiving channels characteristics using the heterodyne signal// Proceedings of the III International Conference on Antenna Theory and Techniques, 8–11 September 1999, Sevastopol, page 244

/ref>

Life data

Participant of the
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...

27.09.1939 — 08.03.1942 — radio operator of the 2-nd Red-Banner army of the Far-East front; 08.03.1942 — 05.08.1942 — commander of a radiostation of the 927-th separate signal battalion of the 96-th infantry division; 05.08.1942 — 11.01.1943 — commander of a radioplatoon,

Stalingrad Volgograd ( rus, Волгогра́д, a=ru-Volgograd.ogg, p=vəɫɡɐˈɡrat), geographical renaming, formerly Tsaritsyn (russian: Цари́цын, Tsarítsyn, label=none; ) (1589–1925), and Stalingrad (russian: Сталингра́д, Stal ...

(Don) front; 11.01.1943 — 28.04.1943 — wound, medical treatment at the evacuation hospital No. 3755; 28.04.1943 — January 1944 — commander of a radioplatoon, Ural military district; January 1944 — 12.04.1944 — commander of a radioplatoon, one of the Ukrainian fronts, 12.04.1944 — 10.07.1945 — commander of a radioplatoon (Soviet-American

Operation Frantic Operation Frantic was a series of seven shuttle bombing List of air operations during the Battle of Europe, operations during World War II conducted by American aircraft based in Great Britain and southern Italy which then landed at three Soviet ...

);

After of the World War II

10.07.1945 — 23.05.1951 — listener of S. M. Budennyi Military Electrotechnical Academy of Communication (

Leningrad Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...

); 23.05.1951 — 18.11.1961 —

lecturer Lecturer is an List of academic ranks, academic rank within many universities, though the meaning of the term varies somewhat from country to country. It generally denotes an academic expert who is hired to teach on a full- or part-time basis. T ...

at the Military Command Academy of Communication and then at S. M. Budennyi Military Electrotechnical Academy of Communication (

); 27.11.1956 – defended the dissertation for a

Candidate degree Candidate of Philosophy can refer to the US degree or status of Candidate in Philosophy (C.Phil. or Ph.C.) granted to Ph.D. students who have been accepted as candidates for that degree, or (as a direct translation) to degrees or former degrees at ...

(Techn. Sci.) at the Council of S. M. Budennyi Military Red-Banner Engineering Academy of Communication. Since 18.11.1961, he served at Kiev Higher Air Defense Engineering School and then was the Head of a chair at A. M. Vasilevskii Military Academy of Air Defense of the Land Forces till 1981.Военная академия противовоздушной обороны Сухопутных войск. Под общ. редакций Духова Б.И. - К.: Изд-во академии. - 1990. - С. 53, 58, 62, 74, 82, 111 - 113 The significant stage of the recognition of Varyukhin's scientific results became the defense of the dissertation for a

Doctoral degree A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism ''li ...

(Techn. Sci.) in 1968. The distinctive feature of the theoretical trend developed by him is the maximal automatization of the process of estimation of the coordinates and the parameters of signals under conditions of their superresolution.

— since 1972, Honored Scientist of the UkrSSR — 1979. Since 1996 — work at the Academy of Armed Forces of Ukraine (

Selected publications

V. A. Varyuhin, S. A. Kas'yanyuk, “On a certain method for solving nonlinear systems of a special type”
Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966), 347–352; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 214–221
V. A. Varyuhin, S. A. Kas'yanyuk, V. G. Finogenova, “A problem of constrained extremum for a class of functions representable by a Stieltyes integral”
Izv. Vyssh. Uchebn. Zaved. Matematika, 1966, 6 (55), 40–49.
V. A. Varyuhin, S. A. Kas'yanyuk, “The effects of the fluctuations of the terms of a positive sequence on its canonical principal representations”
Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968), 169–173; U.S.S.R. Comput. Math. Math. Phys., 8:1 (1968), 230–236
V. A. Varyuhin, S. A. Kas'yanyuk, “Iteration methods for sharpening the roots of equations”
Zh. Vychisl. Mat. Mat. Fiz., 9:3 (1969), 684–687; U.S.S.R. Comput. Math. Math. Phys., 9:3 (1969), 247–252
V. A. Varyuhin, S. A. Kas'yanyuk, “The iteration methods of the solution of nonlinear systems”, Zh. Vychisl. Mat. Mat. Fiz., 10:6 (1970), 1533–1536; U.S.S.R. Comput. Math. Math. Phys., 10:6 (1970), 234–239

V. A. Varyuhin, S. A. Kas'yanyuk, “A class of iterative procedures for the solution of systems of nonlinear equations”
Zh. Vychisl. Mat. Mat. Fiz., 17:5 (1977), 1123–1131; U.S.S.R. Comput. Math. Math. Phys., 17:5 (1977), 17–23 * V.A. Varyukhin, V.I. Pokrovskii, and V. F. Sakhno, “On the exactness of measurement of angular coordinates with antenna arrays,” Radiotekhn. Élektr., 1982.– Vol. 27, No. 11. – Pp. 2258 - 2260
V. A. Varyuhin, V. I. Pokrovskii, V. F. Sakhno, “Modified likelihood function in the problem of the source angular coordinate determination using an antenna array”
Dokl. Akad. Nauk SSSR,No.270:5 (1983), 1092–1094 * V.A. Varyukhin, V.I. Pokrovskii, and V.F. Sakhno, “On the exactness of measurements of angular coordinates of several sources with the help of an antenna array,” Radiotekhn. Élektr., 1984.– Vol. 29, No. 4. – Pp. 660 – 665. * R.S. Sudakov and V.A. Varyukhin, “Linear combinations of inverse matrices and the method of least squares,” in: Stochastic Models of Systems n Russian AS UkrSSR, Military Air Defense Academy, Kiev, 1986. * V.A. Varyukhin, V.I. Pokrovskii, and V.F. Sakhno, “Quasisolutions of overdetermined incompatible systems,” in: Stochastic Models of Systems n Russian AS UkrSSR, Military Air Defense Academy, Kiev, 1986. * V.A. Varyukhin, V.I. Pokrovskii, and V.F. Sakhno, “A modified likelihood function in the problems of multichannel analysis,” in: Stochastic Models of Systems n Russian AS UkrSSR, Military Air Defense Academy, Kiev, 1986 * V.A. Varyukhin, Fundamental Theory of Multichannel Analysis (VA PVO SV, Kyiv, 1993) n Russian *

Selected Awards

Order of the Red Star The Order of the Red Star (russian: Орден Красной Звезды, Orden Krasnoy Zvezdy) was a military decoration of the Soviet Union. It was established by decree of the Presidium of the Supreme Soviet of the USSR of 6 April 193 ...

Order of the Patriotic War The Order of the Patriotic War (russian: Орден Отечественной войны, Orden Otechestvennoy voiny) is a Soviet military decoration that was awarded to all soldiers in the Soviet armed forces, security troops, and to partisan ...

, 1st class *

, 2nd class *

Medal "For Battle Merit" The Medal "For Battle Merit" (russian: Медаль «За боевые заслуги») was a Soviet military medal awarded for " combat action resulting in a military success", "courageous defense of the state borders", or "successful military ...

Medal "For the Victory over Germany in the Great Patriotic War 1941–1945" The Medal "For the Victory Over Germany in the Great Patriotic War 1941–1945" (russian: Медаль «За победу над Германией в Великой Отечественной войне 1941—1945 гг.») was a military de ...

Pamyat naroda, archive TsAMO, 1945
/ref> *

Order "For Service to the Homeland in the Armed Forces of the USSR" The Order "For Service to the Homeland in the Armed Forces of the USSR" (russian: Орден «За службу Родине в Вооружённых Силах СССР»), also known as the Order "For Service to the Motherland in the Armed For ...

, 3rd class

Gallery

DAA ZAPEV.jpg, The experimental radar with 64-channels DAA (

USSR The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nationa ...

, 1982) DAA slyusar.jpg, The technology demonstrator of 8-channels DAA (

, 1989)

References

External links

Varyuhin, V A. People on the Math-Net.Ru

Varyukhin V.A. Mendeley Profile

Varyukhin V.A. in the Encyclopedia of Modern Ukraine (in Ukrainian)

Archive TsAMO about Varyukhin V.A.
{{DEFAULTSORT:Varyukhin, Vladimir 1921 births 2007 deaths People from Vinnytsia Oblast Soviet military personnel of World War II from Ukraine Ukrainian people of World War II Soviet scientists Systems scientists Systems engineers Soviet mathematicians Soviet computer scientists Soviet inventors Soviet Army officers Soviet military officers Soviet colonels Soviet Air Defence Force officers Soviet military engineers Ukrainian generals Major generals of Ukraine Electronics engineers Radar signal processing Recipients of the Order of the Red Star Recipients of the Order "For Service to the Homeland in the Armed Forces of the USSR", 3rd class