The signal-to-noise ratio (SNR) has been estimated for
remotely sensed imagery using several image-based methods
such as the homogeneous area (HA) and geostatistical (GS)
methods. For certain procedures such as regression, an
alternative SNR (SNRvar), the ratio of the variance in the
signal to the variance in the noise, is potentially more
informative and useful. In this paper, the GS method was
modified to estimate the SNRvar, referred to as the SNRvar(GS). Specifically, the sill variance c of the fitted variogram model was used to estimate the variance of the signal component and the nugget variance c0 of the fitted model was used to estimate the variance of the noise. The assumptions required in this estimation are presented. The SNRvar(GS) was estimated using the modified GS method for six different land-covers and a range of wavelengths to explore its properties. The
SNR*var(GS) was found to vary as a function of both wavelength
and land-cover. The SNR*var(GS) represents a useful
statistic that should be estimated and presented for different
land-cover types and even per-pixel using a local moving
window kernel.
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