ElmoMC SimplIQ Software Manual - 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:
ƒ f
⋅ = π ω
2 is the angular frequency.
ƒ f [Hz] is the pole frequency.
The discrete equivalent form is:
2 1
2
0
a z a z
z b
+ +
where:
ƒ
2
2
2
2
1 4 4
8
2
ω
ω
ω
+ +
−
=
T T
d
T
a
ƒ
2
2
2
2
2 4 4
4 4
ω
ω
ω
ω
+ +
− +
=
T T
d
T
d
T
a
ƒ
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:
ƒ
ω
1
= 2 π · f
1
, and f
1
[Hz] is the notch frequency.
ƒ ω
2
= 2 π · f
2
, and f
2
[Hz] is the notch frequency.
ƒ d
1
is the notch damping.
ƒ d
2
is the double-pole damping.