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2nd-order loop: slope overload
time (mseconds)
0.0
-200.0
200.0
0.0
-100.0
100.0
4.0
5.0
6.0
7.0
0.0
-2.0
2.0
1
Vf
Dq
1
f
mod
Dq
2
Dq
2
Dq
3
d
e
g
r
e
e
s
d
e
g
r
e
e
s
v
o
l
t
s
79
q
bb
Add photo to pdf online - insert images into PDF in C#.net, ASP.NET, MVC, Ajax, WinForms, WPF
Sample C# code to add image, picture, logo or digital photo into PDF document page using PDF page editor control
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Guide VB.NET Programmers How to Add Images in PDF Document
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normalizedDS form of 2nd-order loop
pull integrators through the summing node
normalize update interval to 1
letbK
v
Vf = f
bb
substitute in definition for x
S
v
dt
ò
F
in
t=0,1,2...
S
f
bb
DF
Dq
v
dt
ò
2f
bb
x
------------
1st-orderDS onDF
–1
80
VB.NET Image: Mark Photo, Image & Document with Polygon Annotation
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VB.NET Image: Image Cropping SDK to Cut Out Image, Picture and
This online tutorial page will illustrate the image VB.NET image cropping method to crop picture / photo; size of created cropped image file, add antique effect
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DS linear system analogy for bb-loop
H(z)
S
S
Q(z)
X(z)
Y(z)
(integration)
Y( )z
H( )z
H z( )
+
---------------------X z( )
1
H z( )
+
---------------------Q z( )
+
=
g
a
i
n
freq
g
a
i
n
freq
[Hau91b]
[Gal95]
81
VB.NET Image: Image Scaling SDK to Scale Picture / Photo
To help you know more about this VB.NET image scaling control add-on, we scaling control SDK API, developer can only scale one image / picture / photo at a
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VB.NET Image: Image Resizer Control SDK to Resize Picture & Photo
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solve for slope overload
S
1
s
---
F
in
S
f
bb
DF
Dq
2f
bb
x
------------
1
s
---
Slew rate limiting occurs whenDF >f
bb
Maximum input phase modulation in UI, normalized
toDq
bb
is
.
s
2
s
2
x
---
+ +
Ł
ł
æ
ö
s
3
s
2
( +
)
82
C# Image: How to Add Antique & Vintage Effect to Image, Photo
this C#.NET antique effect creating control add-on is widely used in modern photo editors, which powerful & profession imaging controls, PDF document, tiff
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VB.NET Image: How to Save Image & Print Image Using VB.NET
NET programmers save & print image / photo / picture from NET method and demo code to add image printing printing multi-page document files, like PDF and Word
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slope overload limit vsx
1m
10m
100m
1m
10m
0.1
1
10
jitter frequency * tupdate
0.1
10
1k
100k
10M
1G
100G
m
a
x
j
i
t
t
e
r
b
e
f
o
r
e
S
.
R
.
L
[
n
o
r
m
a
l
i
z
e
d
t
o
D
q
B
B
]
x=0.1
x=1
x=10
x=100
x=1000
s
2
s
2
x
---
+ +
Ł
ł
æ
ö
s
3
s
2
( +
)
simulation
points shown
are from numerical
83
VB.NET Image: Tutorial for Flipping Image Using Our .NET Image SDK
version of .NET imaging SDK and add the following becomes a mirror reflection of the photo on the powerful & profession imaging controls, PDF document, tiff
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C# PDF remove image library: remove, delete images from PDF in C#.
Support removing vector image, graphic picture, digital photo, scanned signature, logo, etc. Remove Image from PDF Page Using C#. Add necessary references:
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jitter generation in frequency-domain
DS approximation justifies replacing BB phase detector
with a noise source.
Combine total loop phase noise by combining each
phase noise source in RMS fashion.
84
S
b
1
st
+-----
K
v
s
------
S
S
source
phase
noise
BB phase noise
VCO open loop phase noise
output
of form: Asin(x)/x
H( )s
K
v
s
=------
b
1
st
+-----
Ł
ł
æ
ö
example jitter generation calculation
-120
-100
-80
-60
-40
-20
0
-140
-130
-120
-110
-100
-90
-80
1k
10k
100k
1M
10M
100M
1G
-140
-130
-120
-110
-100
-90
-80
d
B
d
B
c
/
H
z
d
B
c
/
H
z
1
H s( )
+
---------------------
H( )s
H s( )
+
---------------------
vco phase noise
source
phase noise
bb phase noise
computed phase noise
measured phase noise
see [WSY97]: fvco=2.488 GHz, fbb = 6 MHz,x=32000, tupdate=400ps.
85
The ultimate in simulator speed
Compute precise transient response of system at
discrete update times with Laplace transforms.
f
bb
2f
bb
xs
------------
–1
s
------
v
c
s
-----
2f
bb
xs
------------
S
f
v
s
------
F(t +1
)
F(t)–bb 2
bb
x
------
earlylate
(
)
0
t
å
bb
x
------
+
=
86
simulator core loop
for (cycle=1; cycle<=numpoints; cycle++) {
data_phase = gauss()*jitter;
vco_phase += direction*bangbang;
vco_phase += 2.0*loop_filter*bangbang/psi;
vco_phase += direction*bangbang/psi;
printf(“%d %g\n”, cycle, vco_phase);  fflush(stdout);
direction = (vco_phase >= data_phase) ? (-1) : (1);
loop_filter += direction;
}
87
gaussian jitter generation & gain vsx
1m
10m
0.1
1
10
100
1k
10k
100k
1M
RMS input jitter [normalized toq
BB
]
0.1
1
10
100
1k
10k
100k
1M
10M
R
M
S
o
u
t
p
u
t
j
i
t
t
e
r
[
n
o
r
m
a
l
i
z
e
d
t
o
q
B
B
]
x = 1e-06
x = 1e-05
x = 1e-04
x = 0.001
x = 0.01
x = 0.1
x = 1
J
idle
= 0.6+(1.65/x)
J
lin
= 2*J
in
/(1+sqrt(x))
J
walk
= 0.7*sqrt(J
in
)
J
tot
= J
idle
+ J
lin
+J
walk
x = 10
88
( non-tristated loop ,  p
transition
= 100% , 10
8
timesteps simulated per point)
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