  The very large (100-1000) mass-to-light ratio applicable to the ultra-faint
dwarf galaxies (UFDs) implies a high concentration of dark matter, thus
rendering them ideal theatres for indirect signatures of dark matter. In this
paper, we consider 14 recently discovered UFDs and study the electromagnetic
radiation emanating from them over a wide range, from gamma ray down to radio
frequencies. We analyze the Fermi-LAT data on high energy gamma rays and radio
fluxes at the GMRT and VLA to obtain upper limits on annihilation cross section
$\langle\sigma v\rangle$ in a model independent way. We further discuss the
sensitivity of the Square Kilometer Array radio telescope in probing the
synchrotron radiation from the aforementioned UFDs. We also investigate the
dependences of the said upper limits on the uncertainties in the determination
of various astrophysical parameters.
