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the freq response is increasing at low freq
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Apparently I misunderstood your post, as others did, too. I would describe it as decreasing at respectively towards low frequencies. This had been my first understanding, thus I asked about the sequence length. This behaviour could be surely expected, if the sequence length is shorter than the FFT length, because the sequence would be repeated in this case.
The other point is, that -180 dB seems to be an absurd low noise power. But it's no problem to me, as long as the spectrum is correct.
My assumption has been, that LFSR generated pseudo random noise would be "white" downto f=1/sequence_duration. But this may be wrong. Matlab, Octave, or what ever you're using to process the data should be able to generate LFSR pseudo random noise as with variable sequence length, so you can check the spectra empirically.