SCIENTIFIC ABSTRACT MATVEYEV, P.T. - MATVEYEV, V.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R032932930011-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 14, 2000
• Sequence Number: 11
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT


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MATVEM.. P. T.
"Health protection in the Ukrainian SSR and the prospects of development"
report to be submitted for the United ffations ft-Serence oD the
ApplitatIon of Science and Tecbaoloey for the Bewfit of the Leas
Developed Areas - Geneva, Mtzerlandl. 4-20 Feb 63,

MATVJMIV. P.Ta., Inzhener.
Now low-Wessure sprayer. Avt.dor.20 no-1:30-31 J& '57.
(Fuel Pmps) (MLRA 10:3)

MAn-=, R. F.t Cand Phys-Math Sci (diss) -- "The connection betwPen the
properties of multidimensional stationary processes and the proertles of
their spectral matrices". Moscow,, 1959. 10 pp (Acad Sci USSR, Math Inst
Im V. A. Steklov), 175 copies (KL, No 10, 1960, 125)

16(1)
AUTRORt SOV120-726-4-6162
TITLEs On the Regularity of Multidimensional Stationary Random
Processes With Discrete Time
PERIODICALs Doklady Akademii nauk SSSR, 1959,Vol 126,Nr 4,PP 713-715 (USSR)
ABSTRACTs Theorems In order that the n-dimensional stationary random
process x(t) = (xj(t),...,x,(t)) is regular with the rank m
it is necessary and sufficient thats
1) the spectral functions F ij (A) are absolutely continuous;
2) the rank of the matrix f(k) 11f ij AA almost everywhere
is equal to a (f - dF:..(
ij( k) = d3X
3) there exists a minor M(X ) different from zero almost
everywhere, of the order m of the matrix f( X), where
o& M( 'A)dA > -ov;
NikOA
4) the functions 0 ik(-A) i-m+l,...,n; k-l,...,m,
Card 112 are boundary valueii of functions of the class N ifor a certain b;-0..

On the Regularity of Multidisensional Stationary Random SOV120-126-4-6160
Processes With Discrete Time
Lot M(-&) be denoted with S .11f pq ( 7%) 11 v ps, q-1 9m; Mik( A
denotes the determinant of the matrix Sik arising from S if the
row fkpV p-19...,m is replaced by the ro f ipt P-lt---PM-
The author uses a similar theorem of Roz:noy fRef 5_7.
There are 5 references, 4 of whioh are Soviet, and I Amer-.c&Ln,
ASSOCIATIONiNatematichookiy institut imeni V.A.Steklova Akademii nauk SSSR
(Mathematical Institute imeni V.A.Steklov AS USSR)
PRESENTLTs February 28, 1959, by A.N.Kolmogoroy, Academician
SUBMITTEN February 15, 1959
Card 2/2

KLTVMV. R.F. (Moskva)
Singalar maltidimensional statirmary processes. Te-or. veroiat. i
ee prim. 5 no.1:38-44 160. (MIRA 13:10)
(Frobabilitles)

AUTHOR:
25MS
S/052J61/006/002/002/006
C111/C222
TITIEs
latveyev, R.F.
on regular multi-dirensional stationary processes
PENRIODICALs Teoriya veroystnostey i yeye primeneniye, v.6, no.2, 1961,
164 - 181
TEXIN Let X(t) - f x Xn(t)l be a stationary process, where
(t) - 0!, M[x (t + . B (r) , where B(Ir) is the correlation
X.Tt
MP:i X i i ij
matrix. Let Fkj be the spectral measures of the process X(t) and
fX (A) be their derivatives. The matrix f 11fx (~)Jj is called
ki x ki
the spectral matrix.
Definition 1 s Let the stationary process )9(t) have the rank m if f
X~
almost everywhere has the rank m.
Definition 2 s A function f(z) analytic in a region D of the complex
plane belongs to the class HO In D if the subharmonic function jf(z)j
in D has a harmonic majorant.
Definition 4 t A function g~z) analytic in the lower halfplane belongs to
the class Nj if g(z) - fl Z5/f2(z) , where f, and f2 are functions
Card I/S

25015
On zegular multi-dimensional
S/052J61/006/002/002/006
C111/C222
of the class Rg, in the lower halfplane.
Theorem I t Necessary and sufficient that the stationary process X(t)
of the rank a is regular, is s
(1) There exists a principal minor M(A) of the order m of f so that
It holds
00 lox v (A) d h > oD (5)
S 1 +
_0D
(e, g. t X(A) - 11 q, (A) 11 ; k, I T_,m)
(II) The functions
9 i = m + 1.n ; k = 1, (6)
ik(X) - Nik(\)/K('\) ;
(where Mik are determinants of matrices arising from N by replacing the
k-th row ffx (A) .... fX (A by the row fX.(A)'...' fX are limit
k1 kn 4 f i in(A ~
values of functions &ik(z) (Qik(A) . lim 61,P - i )w,) of the class

B/052/61/006/002/002/006
On regular --iulti-dimena?161~ioiaf C111/C22"'
N 9 for a certain 9 > 0 . Then the author considers the problem of the
linear extrapolation for processes of the rank 1 . The problem is solved
for processes with a discrete time in (Ref. 10 1 Tu.A. Rozanov, Lineynaya
ekstrapolyatsiya mnogomernykh statsionarnykh protsessov ranga 1 9 diskret-
nya vremenen atationary pro-
the [Linear extrapolation of multidimensional
0*8808 of rank I with a discrete time] , DAN SSSR 125,2 (1959), 277 -
-280). The author uses the idea of (Ref. i0) and constructs an analogous
solution of the problem for the case of a continuous time. Here the author
essentially uses the representation t
xiM = I e 1 -4 k'fj(A)dI3(X) - _ cj(t-p)dr(p) (j-l-,i) (20)
of (Ref. 7 % Te.G. Gladyal~ev, 0 mnogomernykh StatBionarnykh sluchaynykh
protsessakh [on multidimensional stationary random processes] Teoriya
veroyat i yeye primen., 11, 4 (1958), 458-462). Here c.(t), r(p) - -
Fourier transforms of f7x) , a(A) B(X) is a proceis with non-cor-
related increases, whereii 19.8(A) ~ ( A, n 4,)
Pi 2 14
Card 3/5

~1611006100210021006
25035 S/052
On regular multi-dimensional CIII/C222
is a Lebesgue measure ; the tf
j(A) satisfy the system
Itel(A)II = fll(x.),
fx
21(~)
tP2 -;-- T 1 (A)
4W (21)
. . . . . . . . . . . .
~4
fx (A)
n
fX W
Besides the are limit values of zertain functions
for p4,--bO . The extrapolation problem is red,--.ed to the determination
of a solution Ifn (A) of (21) so that for every other
A
solution (f n(A) of (21) it holds ri(Z)~ >,, 1~i(z)l
In z < 0 9 j - 1,n
Card 4/5

S/052/61/006/002/002/006
On regular multi-dimensional ... C111/C222
Finally the author considers a multidimensional process of the rank 1
the spectral matrix of which consists of rational functions. In this case
the extrapolation problem can be solved in another manner as before
where the process r(p) is determined effectively.
The author mentions A.N. Kolmogorov, V.N. Zasukhin, Yu.A. Rozanov, A.M.
Yaglom,
There are 11 Soviet-bloc and 3 non-Soviet-bloc references. The reference
to the English-language publication reads as follows i H. Cramer. On the
theory of stationary random processes, Ann.Nath., 41 (1940), 215-230.
SUBRITTEDs July 23 1959
Card 5/5

3/10 61/n_/06/2'j7/n!4/C20
D2 6 2Y:)3 0 6
AUTHOR: ?.F.
TITLE: E,'va1uu.'-_on of the subsidiary ,-.-ave in a long ,-.?ave&u:*.de
P-2RIODICAL: Radiote"__`:~a I' clektronika, v. 6, no. 7, 1961,
115-17 - 1164
TEXT: In the propagation of an H 01 mode in a ,,iaveguide, parasitic
modes are formed, at the waveguide inhomogeneities. Some of these
waves maj again revert to the original mode propagatedin the same
direction as the wave carrying the information, being shifted'in
phase with respect to the original. 'Phey constitute what is kno=
.as the "side stream'! - a subsidiary wave., which distorts the use-
ful signal. In the.present article the author gives the mathemati-
cal analysis of suchaviave as resulting from the transmission of pul-
ses through a long ;,-aveguide. If the power of the subsidiary wave
is small comnared %-:ith "hat of the signal then it can be assuned.
that the subsidiary %,.?ave is formed from two transformations: or-i-
Card 1/9

Evaluation of the subsid-fary ...
S/109/61/006/0V/0114/020
D2162/D306
ginal wave-parasitic --,,ave - original wave and of most importance
for evaluating the su-0:3idiary viave is the quantity dq('z) - the ra-
tio' of the amplitude of the parasitic wave. formed at a small wave-
guide inhomogeneity at a certain section o~ it, (z, z + dz) to the
amplitude of the original wave at point z. Another notation is as
follows-; a(z, 6) the actual radius of the cylindrical wave6-.Ude
(z, - cylindrical. coordinates)', a0 the rnear. value of a(z,.2);
In
q ~ I a (z, a. I ef,4 d0,
- Yon
0
where F-0 ZZ 2; &P 1 for p > 0. The functioli'q p'(z) is the sum
q7) (z) = qlp(z) + q2p(z)l
where ql,(z) - a continuous function; q 2p(z) a step functlon, with'
steps at points z 11 Z2 "' Of contact of two wave guides. If there
are no waveguide Joints then q 2p(z) ~ 0 and if the wave is of the
Card 2/9 1

Evaluation of the subs'-c~_*.ar'-
_4 ,
H mode 'L-.I,.en dc
pm
dq (p, m)
3/- IrC r /r' ~--7/C, 14-102 0
... D? G Px,7 C 6
b, r
dq, P (z) (p, m) dq 27, (Z)
where c 1 nm d c 2 are cons-~ants v1hic."i !-e,,erd only on the modes o f p r-7
4
rasitic waves as shown by '23. Z. Ka onbaum and - V. !'a 'I
. _ A- - V lin ( ief.
II , ~7 r) ,'urth:?r in the
2 : Radio tekhnika -I (,-I;_ ek ', ron i'r:a
article indices m and r~ !~.re c... :.J t te,~. s af-sumed further t h a t
C11(z) is a stationary ranlc7-~ caussian -rccess ha,%ri= co--relation
function d 2 B (z) ~113(o) = I] ! and that ste-Ds d (z) at disc-rete point
1 L q2 S
are independent- and sim4LI---.-'Iy distr`but.,~d random quantities having
dispersions equal to d4,,. 'it _;.,,3 also assu:-:~d that quant'_11:~.es dq (x)
L, 4 U
and d (y) are independent fcr -any x a-:.d y. Also f0 :_I 0 nS 'I. T
q2
Buminovich and V.A. T'crozov (_~ef. 1 : Radictekhnika I elektron 4 ka,
Card 3/9

S/10 61/006/r~07/014/020
'506
Evaluation of the D2 62X
4 4S
1959, 4, 10, 1585) -L ass,,~.med tl-~-t t~he lumped' inhomogeneities
are,at a distance Ii q; ~ro- each other (I = 1, 2 L being
-it4es
the mean length of t"o -L, randlom independe t quant
i
evenly disturibut-ed alone- a s~-ction and ~E/L-i-Zl- Let 77'
(z, t) be the fi.eld strength of the subsidiary wave at po'Lnt z of
the waveguide and E 0 (z) that of t'-',e original wave carryin(3 the in-
formation. Then, asouning the notation and the -riechanism of for-la-
tion of subsidiary .-,,ave as given by 13u.-nimovich and IMorozov (Ref.
1: Op.cit.) and that the useful signal consists of a multitude of.
random following rect-angular pulses of durati:-:n 7 and, equal sDac-
ing, the subsidiary wave can be represented as the sum
1 2
E. (z. t) = E., (Z) >~ 8k dq (x) 710.~) (t - AT 0 (Y - X)x
k VI 121
k 0
x cos I w t(pk - 52 (y - x) I aq (y)
Card 4/9

Evaluation of the sl_~bsir_~iary ... X, ") 2;," T) 7) 0 6
(the k-th ter-_ _-ep-esci'~; the s,--. bS4 dfary wa-,'e for,-.-iee by -,he t:~~arls-
mission along the 1-4r., of t,,(, '-'h :)U'~Se). T- th`s
a - al; a a,, factors cf 'he a_!:r1itudes of t-h,e pa-
n n
rasitIc and - bac---'-- hj; hn, hi their
2 n
respective phase c, V v, their res-ective
V n
group velocities, !z Iial -hr~,e of the k-th p,,~Ise, w
carrier frequency
101-
Y_
LO,
r" f o r t
independent respect to cach cther's random quantities
k
equal to unity with --robabi 4 y p and to zero with probabilityel-p.
Th,,- average lost.-es '-Ir Tran3fOrminF, the wave at distributed inh--
Jt4es are f-n 7'j :Ieti~r:.+'ned '),r
mogeneL
Card 5/9

S/10 61/006/007/014/n2O
Evaluation of "h,--- I-ubs-"I;.ary D2 6 2YD3"O'* 6
-"k -2 23,2 (z Y) 11 (x) com P,.rdx.
so that the aera.--, coefficient- of t~e original wave
introduced -S
B (t) co