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Studies by video microscopy on fluctuating colloids measure the real-spacecross-correlations in particle motion. This set of correlations is then treatedas a matrix, in order to study the spectrum and mode structure. We show that ingeneral the modes are modified by the truncation of the full real-spacecorrelations. We perform a theoretical analysis of the truncation, find theboundary conditions imposed by the truncation, and propose practical windowingstrategies to eliminate artefacts. We study the problem from variousperspectives, to compile a survey for experimentalists.

Truncated correlations in video microscopy of colloidal solids