AN279 Silicon_Laboratories, AN279 Datasheet - Page 6

• Manufacturer Part Number: AN279
• Description: Estimating Period Jitter FROM Phase Noise
• Manufacturer: Silicon_Laboratories

AN279
Now, convert back to time units:
where f
6
J
Δt
Δ
PER
ϕ
2
RMS
2
RMS
RMS
L
=
and f
=
⎛
⎝
------
2
2x 4 L f ( )
T
=
π
0
⎞
⎠
U
2
Δt
Δ
are the practical lower and upper frequency integration limits.
∞
∫
0
2
ϕ
RMS
2
RMS
sin
=
2
2
(
π
T
----- -
π
f
2
2
0
τ
)df
∞
∫
0
L f ( )
sin
2
(
π
f
τ
)df
=
2
T
----- -
π
2
2
0
f
∫
f
U
L
Rev. 0.1
L f ( )
sin
2
(
π
f
τ
)df