Fuzzy extreme analysis (FEA) is expedient for those cases when it is necessary to analyze the most important details of a shape of a signal or its spectrum as well as to find out its envelope. It is based on a capture of only main signal extremes and intervals between them on the basis of comparing of the signal increases with assigned limits. Apart from it, FEA allows to significantly compress of signals as well. This paper presents the general FEA algorithm and ways of a signal reconstruction after FEA and defining its envelope. Simulation results are presented to prove the proposed method and to compare it with classic approach.