  We propose a new class of transforms that we call {\it Lehmer Transform}
which is motivated by the {\it Lehmer mean function}. The proposed {\it Lehmer
transform} decomposes a function of a sample into their constituting
statistical moments. Theoretical properties of the proposed transform are
presented. This transform could be very useful to provide an alternative method
in analyzing non-stationary signals such as brain wave EEG.
