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FFT confusion [message #35218] Thu, 15 May 2003 07:15
jefield is currently offline  jefield
Messages: 3
Registered: January 2003
Junior Member
Hi,

I'd be enormously grateful if anyone could help me with this.

I'm looking at the power spectra of "chirp" radio signals and am
having problems getting sensible plots. The following code should
generate a complex sinusoidal chirp whose frequency runs from 100 to
150 Hz and then plot its power spectrum:

pro spec
time = (2.0/1000)*findgen(1001) ; time (s). NB 1001 samples in 2s
; so sampling freq is 500 Hz thus
; Nyquist freq is 250 Hz

freq = 100.0 + (50.0/1000)*findgen(1001) ; chirp frequency array

theta = 2*!pi*freq*time ; chirp phase angle

i = complex(0,1)

signal = exp(i*theta)

neg_freq_axis = reverse(-((250.0/500)*findgen(501)))
pos_freq_axis = ((250.0/499)*findgen(500)) + 1.0
freq_axis = [neg_freq_axis,pos_freq_axis] ; x-axis for plot

window,2,xsize=500,ysize=250
plot,freq_axis,alog10(shift(((abs(fft(signal)))^2),500)),$
xrange=[0,260],$
/xstyle,$
xticklen=1,$
xgridstyle=1,$
yticklen=1,$
ygridstyle=1

end

However I'm getting a frequency spectrum running from 100 to *200* Hz
and I'm really confused. This problem has been bugging me for ages and
I'd be very grateful if anyone could point out my mistake(s).

Thanks very much!

Julian
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