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Uncertainty principles associated with the directional short-time Fourier transform

This paper deals with the study of some uncertainty principles associated with the directional short-time Fourier transform. First, we develop the Beckner’s uncertainty principle by invoking the well-known Pitt’s inequality and then study some logarithmic Sobolev-type inequalities. Second, we present a couple of concentration uncertainty principles, including the Benedick–Amrein–Berthier inequality and the local-type uncertainty principle. We culminate our study by formulating the Donoho–Stark-type uncertainty principles for the directional short-time Fourier transform.