[Discuss-gnuradio] Re: Resampling in the frequency domain

[Alberto di Bene]

Bob,

 thanks for your answer. Yes, what you say is quite clear. So you suggest
to do the downsampling in the time domain, after the IFFT. I had hoped that
limiting somehow the portion of the spectrum given as input to the IFFT, 
after
the circular shift and the lowpass filtering, this would result in an 
automatic
downsampling. Isn't this the technique used in Linrad ?   TNX.

Alberto
--------------------------------------

Robert McGwier wrote:

> Alberto:
>
> Glad to know you are here.
>
> I would not revert to the time domain.  "Rename" the complex
> bins of your fft by performing a simple circular shift until
> the right bin is on zero.  Apply the low pass filter in the
> frequency domain,  IFFT and then downsample.  Since these
> frequencies or bins are discrete, you might need to retune
> BUT this can now be done on the decimated signal.
>
> REMEMBER,  fft is a circular convolution.  So if you use
> a N tap filter, you will probably want to use an
> roof(log_2(N))+1 long FFT and then do overlap save or
> add to turn it into a linear convolution.
>
> If this was not clear, please say so.
>
> Cheers,
> Bob
>
>
> -----Original Message-----
> From: address@hidden
> [mailto:address@hidden Behalf
> Of Alberto di Bene
> Sent: Saturday, February 19, 2005 3:13 PM
> To: address@hidden
> Subject: [Discuss-gnuradio] Resampling in the frequency domain
>
>
> A question for all the DSP gurus lurking here.
> Suppose I have the spectrum of a signal, obtained via an FFT, and
> I want to isolate a portion of it, bring it to baseband and downsample it.
> The first idea that comes to mind is to do it in the time domain, first
> multiplying the signal by a complex exponential, then lowpass it,
> then decimate it.
> Would it be possible to simply translate the spectrum by the needed
> amount (thus bringing the wanted portion at baseband) and then resample
> it so to have a lower sampling rate when the signal is brought back into
> the time domain? It looks doable, but I am sure there are issues to
> be taken into account (aliasing? windowing? etc.).
> Which are the caveats in doing such a process which looks on paper much
> faster than working in the time domain?   Thanks in advance.
>
> Alberto
>
>
>
>
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