Most modern imaging systems process the data they capture algorithmically before-or instead of-human viewing. As a result, performance depends not on how interpretable the measurements appear, but how effectively they encode details for algorithmic processing. Information theory provides mathematical tools to analyze this, but developing methods that can handle the complexity of real-world measurements yet remain practical enough for widespread use has proven challenging. We introduce a data-driven approach for estimating the information content of imaging system measurements. Our framework requires only experimental measurements and noise characterization, with no need for ground truth data. We demonstrate that these information estimates reliably predict system performance across diverse imaging modalities, including color photography, radio astronomy, lensless imaging, and label-free microscopy. To automate the process of designing imaging systems that maximize information capture we introduce an optimization technique called Information-Driven Encoder Analysis Learning (IDEAL). The tools we develop in this work unlock information theory as a powerful, practical tool for analyzing and designing imaging systems across a broad range of applications. A video summarizing this work can be found at https://waller-lab.github.io/EncodingInformationWebsite/
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