Register to reply 
Asymmetric Clipped Waveform  find RMS 
Share this thread: 
#1
Feb1113, 11:00 AM

P: 1

I have an asymmetrical clipped repeating waveform and I want to be able to find the root mean square.
The function is as follows, with r and b constants: y(t) = ((exp(sin(t)*b)exp(sin(t)*b*r))/(exp(sin(t)*b)+exp(sin(t)*b)))*(1/b) This is pretty computationally heavy. What are some approaches to use to get to a simpler root mean square? Should I use a Fourier transform? 


#2
Feb1113, 07:14 PM

Sci Advisor
PF Gold
P: 2,056

This simplifies to y=1/b * tanh(bsin(t)). If b is small, tanh is approximately linear and you can expand the function to calculate the rms. Alternately, you can calculate the result numerically for various values of b. Note that you must have b<1 for convergence.



Register to reply 
Related Discussions  
Asymmetric stress tensor gives asymmetric stressenergy tensor?  Special & General Relativity  11  
Capacitance: given V waveform, find max. power  Engineering, Comp Sci, & Technology Homework  3  
Inductance: given V waveform, find I  Engineering, Comp Sci, & Technology Homework  3  
Integral of fullwave rectified sinewave, find equivalent sine waveform  Calculus & Beyond Homework  0  
A Beagle In The Pound and a MARSIS WingClipped  General Discussion  4 