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Re: [Discuss-gnuradio] Frequency discriminator using a frequency to volt


From: Marcus Müller
Subject: Re: [Discuss-gnuradio] Frequency discriminator using a frequency to voltage converter
Date: Thu, 5 Nov 2015 22:23:48 +0100
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101 Thunderbird/38.2.0

Hi Lou,

that's a pretty good application of the spectrum, I agree. One could certainly modify the freq_sink to do that, however, as it is now, the PSD calculation (based on the fft result) is done in a single VOLK kernel, 32fc_s32f_x2_power_spectral_density_32, which probably has some performance advantages, so changing that would mean to either abandon that benefit or introduce a new "processing path" inside the frequency sink.

I'm a bit confused, though: The DFT is a linear operation. So averaging k FFT vectors (linear operation) before or after the DFT wouldn't make a difference, because

$\sum_{n=1}^k
      \mathrm{DFT}(x_n) = \mathrm{DFT}(\sum_{n=1}^k x_n)$, with $x_n$ being our DFT length-sized input sample vectors.

You should be able to do $\sum_{n=1}^k
      x_n$ with a stream to vector->add block combination in front of the normal frequency sink.

Cheers,
Marcus


On 05.11.2015 20:26, madengr wrote:
Could this be modified to, optionally, do the (complex) average after the
FFT.  That would give a coherent average assuming no samples are dropped
prior to FFT.  Nice for digging signals out of the noise compared to a
normal spectrum analyzer type average.

Lou



Marcus Müller-3 wrote
Because I find that highly cool, here's what's happening inside the Qt
frequency sink, even if that might be unrelated to your problem:

  * takes in a vector of N samples
  * Computes a discrete Fourier transform (using FFTw's fast fourier
    transform algorithms) of length N
  * computes the square of the magnitude, the logarithm of that,
    normalizes each of the N complex result values
  * optionally: averages each bin individually
  * regularly updates the plot with the N-vector of PSD




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