A seismic signal is represented as a combination of a geologic signal and a
noise signal. The representation of the seismic signal is decomposed into
a linear combination of orthonormal components. One or more components are
identified in which the geologic signal and the noise signal are
uncorrelated. The noise signal is expanded as a product of an unknown
noise amplitude modulation signal and a known noise spatial periodicity
signal at the identified components. The expansion is solved for an
estimate of the noise amplitude modulation signal at the identified
components. The noise signal is estimated by multiplying the estimated
noise amplitude modulation signal by the noise spatial periodicity signal.
The estimated noise signal can be removed from the seismic signal to
generate an estimate of the geologic signal.
