On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions

Abstract

Abstract We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform.

Keywords

• fractional Fourier transform
• fractional wave packet transform
• almost periodic function
• frame