  The Faint Irregular Galaxies GMRT Survey (FIGGS) is a Giant Metrewave Radio
Telescope (GMRT) based HI imaging survey of a systematically selected sample of
extremely faint nearby dwarf irregular galaxies. The primary goal of FIGGS is
to provide a comprehensive and statistically robust characterization of the
neutral inter-stellar medium properties of faint, gas rich dwarf galaxies. The
FIGGS galaxies represent the extremely low-mass end of the dwarf irregular
galaxies population, with a median M${\rm{_B\sim-13.0}}$ and median HI mass of
$\sim 3 \times 10^7$ M$_\odot$, extending the baseline in mass and luminosity
space for a comparative study of galaxy properties. The HI data is supplemented
with observations at other wavelengths. In addition, distances accurate to ~
10% are available for most of the sample galaxies. This paper gives an
introduction to FIGGS, describe the GMRT observations and presents the first
results from the HI observations. From the FIGGS data we confirm the trend of
increasing HI to optical diameter ratio with decreasing optical luminosity; the
median ratio of D$_{\rm HI}$/D$_{\rm Ho}$ for the FIGGS sample is 2.4. Further,
on comparing our data with aperture synthesis surveys of bright spirals, we
find at best marginal evidence for a decrease in average surface density with
decreasing HI mass. To a good approximation the disks of gas rich galaxies,
ranging over 3 orders of magnitude in HI mass, can be described as being drawn
from a family with constant HI surface density.
