Talk About Network

Google





Electronic Equipment > Digital Signal Processing (DSP) > Re: FFT spectru...
Latest [ Topics | Posts ] Archive Post A New Topic Post a Reply
<< Topic < Post Post 3 of 4 Topic 14042 of 14426
Post > Topic >>

Re: FFT spectrum height question

by "Peter123" <pr20@[EMAIL PROTECTED] > Oct 14, 2008 at 06:46 AM

>On 13 Okt, 00:22, "Peter123" <p...@[EMAIL PROTECTED]
> wrote:
>> I have implemented Jens Joergen Nielsen FFT code in my windows program
>> that converts V(t) to V(f). =A0I am using 2500 Hz sampling with
N=3D8192 =
>point
>> FFT.
>> I am plotting the FFT amplitude as sqrt(Re^2 + Im^2)/N. Im getting the
>> correct peak frequency after FFT, however, I am getting only about 1/2
of
>> the peak =A0amplitude (of the input sine wave input amplitude) with
>> rectangular window. (If my input wave is 20.0*sin(omega*t) the FFT
gives
>> ~10 for peak height at omega).
>> Using various windows (Hamming, Bartlett, etc) the V(f) peak amplitude
>> becomes even smaller.
>>
>> Any suggestion why do I get 1/2 peak heights?
>
>It's because of Euler's equations:
>
>cos(x) =3D 1/2  (exp(jx)+exp(-jx))
>sin(x) =3D 1/j2 (exp(jx)-exp(-jx))
>
>> What correction factors should I use for the spectrum height for
various
>> window types?
>
>Don't bother. You will not see the exact numbers you use
>for the amplitudes unless the frequency of the sinusoidal
>is an integer fraction of the sampling frequency,
>
>f =3D k/N
>
>wher k and N integers and k < N/2.
>
>Rune
>
Thanks Rune.
I assume 3D is the amplitude..  (why 3D?)
 Peter
 




 4 Posts in Topic:
FFT spectrum height question
"Peter123" <  2008-10-12 17:22:04 
Re: FFT spectrum height question
Rune Allnor <allnor@[E  2008-10-12 15:52:14 
Re: FFT spectrum height question
"Peter123" <  2008-10-14 06:46:21 
Re: FFT spectrum height question
Rune Allnor <allnor@[E  2008-10-14 06:50:57 

Post A Reply:
  Go here to Signup

AddThis Feed Button


About - Advertising - Contact - Frequently Asked Questions - Privacy Policy - Terms of Use - Signup

Contact
localhost-V2008-12-19 Thu Jan 8 22:16:23 PST 2009.