Figure 4-8, Ideal low pass filter, 1 low pass filter – ADLINK PCI-8258 User Manual

Page 101: Pass band stop band

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Motion Control Theory

87

PCI-8254 / PCI-8258

4.2.4.1

Low Pass Filter

Increase control gains (KP and KD) is commonly adopted approach in

improving response speed and accuracy. However, control gains

come with high frequency vibration noise especially when mechanic

(motor) stops operations. Low pass filter can be used here to

eliminate high frequency vibration noise in case like this.
See Figure below for an ideal low pass filter. Here the Fc is the Cutoff

frequency, the frequency range that can be passed is called the Pass

band, and the frequency range to be attenuated is the Stop band.

Signal frequency lower than the cutoff frequency can pass freely yet

signal with frequency greater than cutoff frequency will be attenuated.
Let's explain this effect with one example. Assume a low pass filter

with 1000 Hz cutoff frequency, 100 microseconds sampling time,

and derived coefficients A1 at 32767, A2 at -11896, B0 at 1794, B1

at 3588, B2 at 1794, and DIV at 28046. See Figure below for

simulation results from sine curves at different frequency. This

figure indicates that when input signal is a 30Hz sine curve it

passes the filter with amplitude and phase remains intact. for input

of 1200Hz sine curve the amplitude is attenuated and the phase

delayed. The high frequency noise is then illuminated.

Figure 4-8: Ideal low pass filter

13Bh

PRA_BIQUAD1_B1

Biquad filter 1 coefficient

-32768~32767

0

13Ch

PRA_BIQUAD1_B2

Biquad filter 1 coefficient

-32768~32767

0

13Dh

PRA_BIQUAD1_DIV

Biquad filter 1 coefficient

-32768~32767

1

Param.
No.

Define symbol

Description

Value

Default

Pass band

Stop band

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