The Entropic Uncertainty Relations Associated With The Linear Canonical Transform

The LCT has been widely studied and applied up till now, as a generalisation of the traditional Fourier transform(FT) and the fractional Fourier transform(FRFT), which are used originally for solving differential equations and optical system analysis. With the rapid development of the fractional Fourier transform, the LCT has been paid more and more attention in applied mathematics and signal processing community.The entropic uncertainty relations play an important role in quantum physics and signal processing. The generalizations and extensions of the entropic uncertainty relation to the novel transforms are becoming one of the most hottest research topics recently. In this paper, first we obtain the entropic uncertainty relation for ambiguity function associated with the linear canonical transform, then we derive the entropic uncertainty relation for Wigner-Ville distribution associated with the linear canonical transform.