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[Discuss-gnuradio] m2m4 SNR estimator off by 3 dB

From: Jared Dulmage
Subject: [Discuss-gnuradio] m2m4 SNR estimator off by 3 dB
Date: Wed, 27 Aug 2014 09:33:17 -0700

It appears that the MPSK m2m4 SNR estimator has an extra factor of 2.

      double y1_2 = d_y1*d_y1;
      return 10.0*log10(2.0*sqrt(2*y1_2 - d_y2) /
            (d_y1 - sqrt(2*y1_2 - d_y2)));

where d_y1 and d_y2 are the running 2nd and 4th moments of the input, respectively.

The 2.0* is not present in the estimate _expression_ from the reference (Pauluzzi and Beaulieu eq. 39).

The 3 dB offset can also be seen by generating a signal (say random BPSK) with AWGN, measuring the signal and noise powers separately while estimating the SNR via the m2m4 on the sum.

It's an easy fix, I just wanted to get verification and notify other users.


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