Approaches for the development of self-adaptive real-time embedded (RTE) systems are numerous. However, there is still a lack of generic and reusable design which fits different systems and alleviate the designer task. Design patterns represent a promising solution to get fast and reusable design. Unfortunately, patterns dealing with self-adaptive RTE systems development are still not well tackled in the literature. The general structure of self-adaptive RTE systems is based on a MAPE loop which is composed of four basic adaptation processes: Monitor, Analyze, Plan, and Execute. In this paper, we define patterns for the monitoring and analyzing processes through the generalization of relevant existing adaptation approaches to improve their accessibility to new adaptive systems developers. To evaluate the work, the proposed patterns are applied to a relevant existing cross-layer adaptation framework.