| Abstract: | In problems where the recorded signal is comprised of two or more bands, it is often the case that the bands are not perfectly aligned. In this paper develop two methods for estimating the lag, or amount of misregistration, in cases where the recorded data are obtained by pixel averaging. Our techniques are applicable directly to the signal domain, and are based on penalized least squares (or errors-in-variables) and maximum cross-covariance, respectively. They employ mathematical interpolation to accommodate the effect of pixel averaging. We introduce a concise and tractable asymptotic model for comparing the performance of the two techniques. The model predicts that the techniques should perform similarly. This is borne out by simulation studies and by applications to real data. |
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