Saturday, 23 April 2016

control - What's the Laplace transfer function of a moving average?


What is the Laplace transfer function of a moving average? yk=xk+xk1+xk2+xk3+...+xkN+1N I tried to get it from the z-domain transfer function using conversion tables: ykxk=1+z1+z2+z3+...+zN+1N


But unless I've read them wrong they don't have the "bricks" I need to get me anywhere.



Answer



ykxk=1+z1+z2+z3+...+zN+1N


can be re-written as


ykxk=1N1zN1z1



That should be straightforward to model in the s-domain by replacing z by esT


i.e. H(s)=1N1esTN1esT


This is a SINC function in the frequency domain whose magnitude versus frequency is of the form: sin(πfN)Nsin(πf)


enter image description here (source)


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...