ElmoMC SimplIQ Software Manual User Manual
Page 215

SimplIQ
Software Manual
13BFilters
MAN-SIMSW (Ver. 1.4)
14-6
14.2.1 Low-pass (Complex Pole) Element
(Represented by Second-order Block)
The basic continuous-time complex pole element is:
2
2
2
2
ω
ω
ω
+
⋅
⋅
⋅
+
s
d
s
where:
f
⋅
=
π
ω
2
is the angular frequency.
f
[Hz] is the pole frequency.
The discrete equivalent form is:
2
1
2
0
a
z
a
z
z
b
+
+
where:
2
2
2
2
1
4
4
8
2
ω
ω
ω
+
+
−
=
T
T
d
T
a
2
2
2
2
2
4
4
4
4
ω
ω
ω
ω
+
+
−
+
=
T
T
d
T
d
T
a
2
2
2
2
1
0
4
4
4
1
ω
ω
ω
+
+
=
+
+
=
T
T
d
a
a
b
14.2.2 Notch Filter Element
(Represented by Second-order Block)
The basic continuous-time notch filter element is:
2
2
2
2
2
2
1
1
1
2
2
1
2
2
2
2
ω
ω
ω
ω
ω
ω
+
⋅
⋅
⋅
+
+
⋅
⋅
⋅
+
s
d
s
s
d
s
where:
ω
1
= 2
π
·
f
1
, and
f
1
[Hz] is the notch frequency.
ω
2
= 2
π
·
f
2
, and
f
2
[Hz] is the notch frequency.
d
1
is the notch damping.
d
2
is the double-pole damping.