I have a question regarding system identification of a system with 3 poles.
I have a feel for the three time constants (1/pi) that I am trying to identify. They are approximately 0.5 sec, 3 sec and 20 sec respectively.
I am trying to generate a Psuedo Random Binary Sequence (PRBS) that contains the range of frequencies that the input signal should have in order to capture the dynamics due to the three poles.
(1) Could you give me an idea as to what the frequency range should be?
(2) I am currently generating the PRBS signal using a combination of rand() and randn(). However, this is an iterative process where I have to keep checking to see if the required frequency range is present. Could some one tell me how I could generate the PRBS signal with the specific frequency range using Matlab without the process being iterative? Any code/pointers would be greatly appreciated.