  Searching for dispersed radio pulses in interferometric data is of great
scientific interest, but poses a formidable computational burden. Here we
present two efficient, new antenna-coherent solutions: The Chirpolator and The
Chimageator. We describe the equations governing both techniques and propose a
number of novel optimizations. We compare the implementation costs of our
techniques with classical methods using three criteria: the operations rates
(1) before and (2) after the integrate-and-dump stage, and (3) the data rate
directly after the integrate-and-dump stage. When compared with classical
methods, our techniques excel in the regime of sparse arrays, where they both
require substantially lower data rates, and The Chirpolator requires a much
lower post-integrator operations rate. In general, our techniques require more
pre-integrator operations than the classical ones. We argue that the data and
operations rates required by our techniques are better matched to future
supercomputer architectures, where the arithmetic capability is outstripping
the bandwidth capability. Our techniques are, therefore, viable candidates for
deploying on future interferometers such as the Square Kilometer Array.
