Spectral holography provides for the storage of data-encoded, time-domain optical signals in frequency-selective recording materials. This capability may form the basis for entirely new classes of ultrahigh-speed and -density optical storage devices. We demonstrate the implementation of swept-carrier spectral-holographic data storage in a single-sideband mode. Temporal-waveform information originally encoded in double-sideband format is re-created but stripped of one of its sidebands. The process described can be used to achieve higher spectral storage densities or as an optical single-sideband conversion device.