f



questions about OFDM

Hello all,

I've been following the OFDM demodulation discussions on this NG for
some time. However, there are a couple of things that I don't quite
understand.

Most of the posts I've seen have been regarding baseband demodulation
of OFDM signals. My question is, how do you demodulate when the
signal isn't at baseband, i.e. its still on an RF carrier?.

Can you demodulate the signal directly or would you have to shift
down in frequency before you could demodulate?.

 For arguments sake, lets say we have an 32 carrier OFDM signal with
10Khz tone separation centered on 1Mhz and that signal has been
sampled at say, 10M.

Could I just shift the carrier frequency down by 1Mhz (plus half the
bandwidth of the signal), filter, resample and apply a 32 point FFT
to demodulate?

Next question is, assuming I end up shifting the carrier down in
frequency, what would be the easiest way to do this?. Is there a way
to just shift the carrier without mixing it with another signal?

Thanks in advance

Bill
0
octode (3)
1/24/2007 10:23:06 PM
comp.soft-sys.matlab 211266 articles. 13 followers. lunamoonmoon (258) is leader. Post Follow

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It may be possible to demodulate without basebanding but it would
require an unweildy FFT size. In any case it's just not practical.
Typically, the first step is to baseband which is a shift in frequency
sometimes combined with a hilbert transform to create an analytic
signal. One typical wants to shift the center frequency to zero.

A shift in the frequency / time domain is equal to a multiplication by
a complex exponential in the reciprocal domain. By multiplying the time
series by a mixing signal, this effectively shifts the signal in the
frequency domain. An alternative would be to convert signals to the
frequency domain, shift, and revert back to the time domain. You're
probably better off multiplying by a complex sinusoid in the time
domain.

-V

0
viognier (107)
1/25/2007 1:30:08 PM
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0
fdsf
1/25/2007 2:20:33 PM
bill wrote:
>
>
> Hello all,
>
> I've been following the OFDM demodulation discussions on this NG
> for
> some time. However, there are a couple of things that I don't quite
> understand.
>
> Most of the posts I've seen have been regarding baseband
> demodulation
> of OFDM signals. My question is, how do you demodulate when the
> signal isn't at baseband, i.e. its still on an RF carrier?.
>
> Can you demodulate the signal directly or would you have to shift
> down in frequency before you could demodulate?.
>
> For arguments sake, lets say we have an 32 carrier OFDM signal
> with
> 10Khz tone separation centered on 1Mhz and that signal has been
> sampled at say, 10M.
>
> Could I just shift the carrier frequency down by 1Mhz (plus half
> the
> bandwidth of the signal), filter, resample and apply a 32 point FFT
> to demodulate?
>
> Next question is, assuming I end up shifting the carrier down in
> frequency, what would be the easiest way to do this?. Is there a
> way
> to just shift the carrier without mixing it with another signal?
>
> Thanks in advance
>
> Bill
0
octode (3)
1/25/2007 6:32:24 PM
Viognier wrote:
>
>
>
> It may be possible to demodulate without basebanding but it would
> require an unweildy FFT size. In any case it's just not practical.
> Typically, the first step is to baseband which is a shift in
> frequency
> sometimes combined with a hilbert transform to create an analytic
> signal. One typical wants to shift the center frequency to zero.
>
> A shift in the frequency / time domain is equal to a multiplication
> by
> a complex exponential in the reciprocal domain. By multiplying the
> time
> series by a mixing signal, this effectively shifts the signal in
> the
> frequency domain. An alternative would be to convert signals to the
> frequency domain, shift, and revert back to the time domain. You're
> probably better off multiplying by a complex sinusoid in the time
> domain.
>
> -V
>
>
  Viognier,

Thanks for taking the time to reply to my questions!.

All ok, my orignal thoughts about trying to demodulate the signal at
RF were based on trying to do the least operations possible on the
signal and whether there would be any advantage in trying to do so(or
not) or even if its possible.

If I've got this right then, what I should do is Hilbert transform my
signal and multiply by a complex sinusoid to centre the signal on
0hz.

 
Since I've now got a complex signal centered on 0Hz and running from
-2.5Mhz - +2.5Mhz (assuming 10Mhz sample rate. What sort of
filtering would I use? bandpass or lowpass?.

If I filtered the signal at say 320Khz (using the figures I gave in
my example)would I have to resample at four times that?.

thanks

Bill
0
octode (3)
1/25/2007 6:33:51 PM
If you filter prior to basebanding, you can use a bandpass centered at
the carrier. If you filter after basebanding, you can lowpass but I
believe your lowpass must result from basebanding the passband filter
in the same way as the signal.

-V

0
viognier (107)
1/26/2007 1:39:05 PM
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