Lehmer Transform and its Theoretical Properties

05/13/2018

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by   Masoud Ataei, et al.

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We propose a new class of transforms that we call Lehmer Transform which is motivated by the Lehmer mean function. The proposed 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.