A complete and up-to-date introduction to the analysis and design of infrared and electro-optical (EO) imaging systems. The text details the principles and components of the Linear Shift-Invariant (LSI) infrared and electro-optical systems and combines it with calculus and domain transformations to achieve a successful imaging system analysis. Ultimately, the steps in this book lead to results in quantitative characterizations of performance metrics such as modulation transfer functions, minimum resolvable temperature difference; minimum resolvable contrast, and probability of object discrimination. The text includes an introduction to two-dimensional functions and mathematics which can be used to describe image transfer characteristics and imaging system components. It also covers diffraction concepts of coherent and incoherent imaging systems which show readers the fundamental limits of their performance. By using the evaluation procedures contained herein, engineers and programme managers become capable of predicting both sensor test and field performance and quantifying the effects of component variations. There are also over 500 equations.