Digital
Filter Problem
Problem
Freq4P12
Name_______________________________________
You have a digital filter that implements the following difference equation.
xk+1
= 0.95xk + 0.05uk
-
x is the output.
-
u is the input.
This difference equation is in a loop that operates at .2 second intervals.
-
Estimate the range of
frequencies passed by this filter. (Your argument can be based on
the equivalent analog filter.)
The difference equation is changed to the one below. (The coefficient
for the input is multiplied by a factor of 10.)
xk+1
= 0.95xk + 0.5uk
-
What changes in the system?
Describe the changes to the system and note if the time constant changes
- and how.