about Parseval's theorem
about Parseval's theorem
(OP)
Hello
Can anyone help me with this? I have a question regarding Parseval's theorem. Consider the case of Dirac delta funtion. It's Fourier transform is a constant in frequency domain, right? However, the delta function has finite energy, but the integral of constant over the whole frequency domain will give an infinite value. does this agree with the Parseval's theorem?
thanks,
Xu
Can anyone help me with this? I have a question regarding Parseval's theorem. Consider the case of Dirac delta funtion. It's Fourier transform is a constant in frequency domain, right? However, the delta function has finite energy, but the integral of constant over the whole frequency domain will give an infinite value. does this agree with the Parseval's theorem?
thanks,
Xu





RE: about Parseval's theorem
There is also an out. The Parseval theorem requires the function to bounded and tegrable (and I think it needs to be square integrable also). Your Dirac is not bounded therefore Parseval does not have to work. We can see that we can apprach the correct eqality limit as the amplitude tends toward unbounded, which might give you some comfort.
RE: about Parseval's theorem
Gunnar Englund
www.gke.org