  Strange quark matter (SQM) may be the true ground state of hadronic matter,
indicating that the observed pulsars may actually be strange stars, but not
neutron stars. According to this SQM hypothesis, the existence of a
hydrostatically stable sequence of strange quark matter stars has been
predicted, ranging from 1 --- 2 solar mass strange stars, to smaller strange
dwarfs and even strange planets. While gravitational wave (GW) astronomy is
expected to open a new window to the universe, it will shed light on the
searching for SQM stars. Here we show that due to their extreme compactness,
strange planets can spiral very close to their host strange stars, without
being tidally disrupted. Like inspiraling neutron stars or black holes, these
systems would serve as a new kind of sources for GW bursts, producing strong
gravitational waves at the final stage. The events occurring in our local
Universe can be detected by the upcoming gravitational wave detectors, such as
Advanced LIGO and the Einstein Telescope. This effect provides a unique probe
to SQM objects and is hopefully a powerful tool for testing the SQM hypothesis.
