  Fast Radio Bursts (FRBs) are short-duration radio transients that occur at
random times in host galaxies distributed all over the sky. Large field of view
instruments can play a critical role in the blind search for rare FRBs. We
present a concept for an all-sky FRB monitor using a compact all-sky phased
array (CASPA), which can efficiently achieve an extremely large field of view
of $\sim10^4$ square degrees. Such a system would allow us to conduct a
continuous, blind FRB search covering the entire southern sky. Using the
measured FRB luminosity function, we investigate the detection rate for this
all-sky phased array and compare the result to a number of other proposed large
field-of-view instruments. We predict a rate of a few FRB detections per week
and determine the dispersion measure and redshift distributions of these
detectable FRBs. This instrument is optimal for detecting FRBs in the nearby
Universe and for extending the high-end of the FRB luminosity function through
finding ultraluminous events. Additionally, this instrument can be used to
shadow the new gravitational-wave observing runs, detect high energy events
triggered from Galactic magnetars and search for other bright, but currently
unknown transient signals.
