- , : , , , .
, .
, . , , , .
t . 63 % .
.
-(t Tcp)2 / 2 σ2 f(t) = 1/σ *√2 * e -∞< t < ∞ | (2.26) |
.
m
σ σ = √ ∑ (ti Tcp)2 * pi
i=1
m ti
pi , i- ti
max , σ
σ1 > σ2 f1(t)> f2(t)
f(t) = (1/To) * e- t / To= λe-λt
∞
∫ f(t) dt =1
t t
∫, -∫
0 0
t t -(t Tcp)2 / 2σ2 Q(t) = ∫f(t)dt = (1 / σ √ 2π) ∫ e dt 0 0 | (2.27) |
, .
, . .
U = t Tcp/σ =>σdU = dt
u -u2 / 2du Q(t) = (1 /√ 2 π) ∫ e = (U) | (2.28) |
(2.28) , .
(-u) = -(u) | (2.29) |
(0) = 0,5
(u) = 0(u) +1/2 | (2.30) |
.
:
= 10000, σ = 3000. Q(t) 7000, 10000, 13000
U1 = t-Tcp / σ = 7000 10000 / 3000 = -1
U2 = 10000 10000 / 3000 = 0
U3 = 13000 10000 / 3000 = 1
Q (7000) = (-1) = - 0,3413(1) + 0,5 = 0,1587
|
|
Q (10000) =(0) = 0+1/2 = 0,5
Q (13000) = (1) +1/2 = 0,8413
, N , .
N P(t) = [ 1 j(u)] j=1 | (2.31) |
N Q(t) = 1- Pn(t) = [ 1 j(u)] j=1 | (2.32) |
, N j
K Nj (t) = [1 j(u)] j=1 | (2.33) |
K K Nj P(t) = (t) Pn(t) = e-t ∑ λi(ν)Ni [1 i(u)] i=1 i=1 (t) ; Pn(t) . | (2.32) |
f(t) = f1(t) P2(t) + f2(t) P1(t)
P(t) P(t) . No = 10 .
-6
λ(ν) = 10 * 10 1/ = 10000
σ = 2000
, , . , ( )
. . .
10000
= 7200 σ = 600 .
.
99.7% ─ 3σ
, 5400 9000 9970 5000 . 7200 , 14400 max min ,
, 2 σ2>σ1 σ2= σ1
t = 3, σ3 =3σ1
t= 4 , 4, .
n = Tcp / 3j,t = nTcp,
n = 7200/1800 = 4
λn = 1/Tcp
. , .
, . σ, t = Tcp - 3 σ, Q(t) = 0,00135
t = Tcp - 4σ, Q(t) = 0,000317
t = Tcp - 5 σ, Q(t) = 0,000000287
, , , t = Tcp - 4 σ, t = Tcp - 5 σ,
t = Tcp - 3 σ, Q(t) = 0,00135
|
|
= 1000
σ = 200
t = 400
700 1 .
Q(t) = n(Δt) / n
700 = 1 / 0,00135