The term aEEG is short for 'amplitude integrated EEG.' This term has been introduced to describe any method of analysing EEG in terms of its amplitude fluctuations. For example see "An Atlas of Amplitude -Integrated EEGs in the Newborn." Most commonly it is used to refer to the output of Cerebral Function Monitors (CFMs or CFAMs).
However one should not take the term too literally. If you rectify and integrate the EEG you will not get a CFM or CFAM output. In these machines the signal is first passed through an asymmetrical filter that amplifies higher frequencies more than lower frequencies. The signal is then subjected to logarithmic amplitude compression, approximately in the CFM, and accurately in the CFAM. The signal is then rectified and integrated. For details see under "historical" in the home page.
Remember the proponents of the term aEEG intend it to be a general description of amplitude analysis as opposed to frequency analysis. Frequency analysis can also be effected by many different methods.