  We consider the quantum dynamics of a harmonic oscillator in noncommutative
space under the influence of linearized gravitational waves (GW) in the long
wave-length and low-velocity limit. Following the prescription in \cite{ncgw1}
we quantize the system. The Hamiltonian of the system is solved by using
standard algebraic iterative methods. The solution shows signatures of the
coordinate noncommutativity via alterations in the oscillation frequency of the
harmonic oscillator system from its commutative counterpart. Moreover, it is
found that the response of the harmonic oscillator to periodic GW, when their
frequencies match, will oscillate with a time scale imposed by the NC
parameter. We expect this noncommutative signature to show up as some noise
source in the GW detection experiments since the recent phenomenological
upper-bounds set on spatial noncommutative parameter implies a length-scale
comparable to the length-variations due to the passage of gravitational waves,
detectable in the present day GW detectors.
