:
;
;
;
.
, , (. . 10.2, 1 . 10.13). , . .
I
. 10.13. (1)
(2)
, , , . q . Y(t) Ymin Ymax YKB(t) (. , 10.13). . . , , , , , .
(q ) (q ) . , , . .
Y(t) ; N(ti) ; l(t - ti) .
. , , . . , 10-6 .
. D . , (. . 10.13).
[13] , Y(t), Yi Yi+1, Yi+1= Yi + q, N, . N D . 10.1. Dm (Int(x), Frac(x) ; sign(x) , 1 > 0 -1 < 0).
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10.1
Dm | ||
N = Irit[Y(t)/q] D = -q Frac[|Y(t)/q|] | q | |
N = Int[Y(t)/q] + l×sign[Y(t)] D = -q{sign[Y(t)] - Frac[Y(t)/q]} | q | |
, +0,5 | N = Int[Y(t)/q] + 0,5sign[Y(t)] D = 0,5q{sign[Y(t)] - Frac[Y(t)/q]} | q/2 |
, 0,5q | N = Int{Y(t) / q + 0,5sign[Y(t)]| D = qFrac JY(t) / q + 0,5sign[ Y(t)]| | q/2 |
[13, 14, 88], . 0 -q [D] = -q/2, + q [D] = q/2, -q/2 + q/2 [D] = 0. s(D) = q/(2Ö3̅).
sm, Nm, sm. , , q = Xm/Nm, Xm ,
.
C, . Y(t) Yk=Y(kDt), kDt, k =1; 2;... Dt , f =l/Dt .
. 10.14. - 5(t-kAt), , , . Yfl
Y(kDt) k- .
. 10.14. ()
():
1 ; 2 , - ; 3
(At = const) (At ). . . , . .
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.
, .. , (. 10.15, ), () (. 10.15, ). YBbIX(ti) YBbIX(ti - tc). , , ti, D =YBbIX(ti) Ycp, Dm = Y(ti + tc) - Y(ti), Ycp Ycp Î [Yx(ti);Y(ti+tc)], , .
10.15. ()
()
, . (, , ). ; , , .. .
, . . , .. . . Y(t) Y(kDt)
Ci(t) , ; ai . . .
, . . .
[14, 88], : [14], . " , , .
, : Y(t), , -, fc, Dt, l/(2fc), .. f > 2fc, .
, Y(t) , :
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wc=2pfc Y(t); Dt ; F(t) .
, Y(t) , , .
[13]. , . fc (, , fc, ) .
. ( ) (. . 10.15,6). .
(. .10.14,6) [14].
. . . 10.14, .
- , . (.. ), , , . , . .
. , . Dt , . , . Dt , Dt f=l/Dt .
. f=2kfc, k , [14] (1,5; 6) ; fc .
[13].
, (. 10.16), . . , . , : .
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N(kDt) ( ), kDt.
. 10.16. : (1),
(2)
(3)
, , , At. . . , , , q. , . :
s2 = q2/12 + s2. , .