Monday, 22 September 2014

low pass - What is the transfer function of n-cascaded RC filters?


enter image description here


Is there an explicit formulation for n-cascaded RC filters?



The resistor and capacitor values are not necessarily same. Assume that:
$ R_i \neq R_j $ and $ C_i \neq C_j $ for $ i \neq j$ and $ 1 \leq i,j \leq n $.


I built a 5th degree filter with $R_i=1k\Omega$, $C_i=1\mu F$ and $V_{in}=1\sin(2\pi \times 1kHz) \; V$. The output signal was nearly smooth for a $1k\Omega$ lead. And rise of the output signal was visible by eye when the input was a step signal.


I tried to find transfer response of this 5th order filter, but after the 3rd order, the size of A4 paper became insufficient for writing the expressions.




No comments:

Post a Comment

arduino - Can I use TI's cc2541 BLE as micro controller to perform operations/ processing instead of ATmega328P AU to save cost?

I am using arduino pro mini (which contains Atmega328p AU ) along with cc2541(HM-10) to process and transfer data over BLE to smartphone. I...