Uncertainty principles for the coupled fractional Wigner distribution

Abstract

In continuation to the recent study “Coupled Fractional Wigner Distribution with Applications to LFM Signals” in [Fractals, World Scientific; 2022], we formulate some important uncertainty inequalities including, the Hausdorff–Young, Lieb’s and Pitts inequalities for the coupled fractional Wigner distribution. In the sequel, we also establish Heisenberg’s, logarithmic, Hardy’s and Beurling’s uncertainty principles. Towards the end, we derive some Sobolev-type inequalities for the coupled fractional Wigner distribution.