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Stochastic gravitational waves (GW) associated with unresolved astrophysical sources at frequency bands of the ongoing GW interferometers LIGO/VIRGO and LISA are studied. We show that GW noise from rotating galactic neutron stars with low magnetic fields may reach the advanced LIGO sensitivity level at frequency Hz. Within LISA frequency band (10^{-4}-10^{-1} Hz), the GW background from galactic binary stars is shown to mainly contribute up to a frequency of 3.10^{-2} Hz, depending on the galactic rate of binary white dwarf mergers. To be detectable by LISA, relic GW backgrounds should be as high as \Omega_{GW}h_{100}^2>10^{-8} at 10^{-2} Hz.

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