We analyse the Baryon Acoustic Oscillation ( BAO ) signal of the final Baryon Oscillation Spectroscopic Survey ( BOSS ) data release ( DR12 ) .
Our analysis is performed in Fourier-space , using the power spectrum monopole and quadrupole .
The dataset includes 1 198 006 galaxies over the redshift range 0.2 < z < 0.75 .
We divide this dataset into three ( overlapping ) redshift bins with the effective redshifts z _ { eff } = 0.38 , 0.51 and 0.61 .
We demonstrate the reliability of our analysis pipeline using N-body simulations as well as \sim 1000 MultiDark-Patchy mock catalogues , which mimic the BOSS-DR12 target selection .
We apply density field reconstruction to enhance the BAO signal-to-noise ratio .
By including the power spectrum quadrupole we can separate the line-of-sight and angular modes , which allows us to constrain the angular diameter distance D _ { A } ( z ) and the Hubble parameter H ( z ) separately .
We obtain two independent 1.6 \% and 1.5 \% constraints on D _ { A } ( z ) and 2.9 \% and 2.3 \% constraints on H ( z ) for the low ( z _ { eff } = 0.38 ) and high ( z _ { eff } = 0.61 ) redshift bin , respectively .
We obtain two independent 1 \% and 0.9 \% constraints on the angular averaged distance D _ { V } ( z ) , when ignoring the Alcock-Paczynski effect .
The detection significance of the BAO signal is of the order of 8 \sigma ( post-reconstruction ) for each of the three redshift bins .
Our results are in good agreement with the Planck prediction within \Lambda CDM .
This paper is part of a set that analyses the final galaxy clustering dataset from BOSS .
The measurements and likelihoods presented here are combined with others in Alam et al .
( 4 ) to produce the final cosmological constraints from BOSS .