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The article describes a method for estimating the spectrum of a low-level signal corrupted by noise. If dual sensors are available and the additive sensor noise is uncorrelated, the cross power spectrum can recover the power spectrum of signal if the statistical properties do not change with time. When using the Welch method to estimate the cross-power spectrum, the estimation process is shown to be biased but consistent, with a variance that is inversely proportional to the number of data sets. Simulation results demonstrate the recovery of a multi-sine spectrum from a pair of noisy but identical sensors.