Continue to Site

When Fourier series coeficient 1 is zero

Status
Not open for further replies.

Highlander-SP

Member level 3
Member level 3
Joined
Sep 21, 2005
Messages
64
Helped
0
Reputation
0
Reaction score
0
Trophy points
1,286
Activity points
1,884
If I have a function that the coeficients a0=0; an=0; b1=0 and b2, b3, ..., bn ≠ 0
may I have to consider that the fundamental is b2?
 

what do u mean by b2 is fundamental. pls be precise with ur question

thnx

purna!
 

fourier series
f = a0 + ∑[an cos(n wo t) + bn sin(n wo t)]
a0 = average or dc value of the function
a1,b1 = coefficients of the fundamental harmonic (wo)
a2,b2 = coefficients of the second harmonic (2×wo)
.... etc

mas
 

No - in something like music, the fundimental is the frequency which all the other harmonics are integer multiples of.
If all the odd b coefficients were 0, and b2,b4... were not zero, the answer would be yes.

I think your fundimental is given by b1, even though its amplitude is zero.
(like a signal with a suppressed carrier - there is no carrier, but the remaining signal implies it)

In addition (music again) - distortion will cause intermods, and b1 will surface.
 

Status
Not open for further replies.

Similar threads

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Back
Top