No. 99MBB091A
14 - 10
● GAUSS (Gaussian)
The transmission characteristic is approximately -11.6dB/oct and the amplitude transmit-
tance at the cutoff length is 50%. The transmission characteristic is shown in figure below.
0.1 0.2 0.3 0.7 10.5 2 3 7 10
-30
5
-25
-15
-10
-5
0
-20
λ/λc
Amplitude transmission (%)
Amplitude transmission (dB)
Transmission characteristic of Gaussian filter
2
3
10
7
5
20
30
100
70
80
50
-π
λ
• λc
H (λ) = 1 - e
n2
π
()
2
1
Transmission characteristic :
=
= 0.4697
where
2
•
•
,
The use of this filter results in a simple formula of addition:
Primary profile = Roughness profile + Waviness profile
Therefore, the low-pass filter is characterized by:
-π
λ
• λc
H (λ) = e
(
)
Transmission characteristic :
2