We identified 15,658 NVSS radio sources among the 55,288 2MASX galaxies brighter than k _ { \mathrm { 20 fe } } = 12.25 at \lambda = 2.16 \mu \mathrm { m } and covering the \Omega = 7.016 sr of sky defined by J2000 \delta > -40 ^ { \circ } and |b| > 20 ^ { \circ } .
The complete sample of 15,043 galaxies with 1.4 GHz flux densities S \geq 2.45 \mathrm { ~ { } mJy } contains a 99.9 % spectroscopically complete subsample of 9,517 galaxies with k _ { \mathrm { 20 fe } } \leq 11.75 .
We used only radio and infrared data to quantitatively distinguish radio sources powered primarily by recent star formation from those powered by active galactic nuclei .
The radio sources with \log [ L ( \mathrm { W~ { } Hz } ^ { -1 } ) ] > 19.3 that we used to derive the local spectral luminosity and power-density functions account for > 99 % of the total 1.4 GHz spectral power densities U _ { \mathrm { SF } } = ( 1.54 \pm 0.20 ) \times 10 ^ { 19 } \mathrm { ~ { } W~ { } Hz } ^ { -1 } \mathrm { ~ { } % Mpc } ^ { -3 } and U _ { \mathrm { AGN } } = ( 4.23 \pm 0.78 ) \times 10 ^ { 19 } \mathrm { ~ { } W~ { } Hz } ^ { -1 } \mathrm { ~ { % } Mpc } ^ { -3 } in the universe today , and the spectroscopic subsample is large enough that the quoted errors are dominated cosmic variance .
The recent comoving star-formation rate density indicated by U _ { \mathrm { SF } } is \psi \approx 0.015 ~ { } M _ { \odot } \mathrm { ~ { } yr } ^ { -1 } \mathrm { ~ { } Mpc } ^ { -3 } .