Uncertainty principles for the short‐time Fourier transform on the lattice

Abstract

AbstractIn this paper, we study a few versions of the uncertainty principle for the short‐time Fourier transform on the lattice . In particular, we establish the uncertainty principle for orthonormal sequences, Donoho–Stark's uncertainty principle, Benedicks‐type uncertainty principle, Heisenberg‐type uncertainty principle, and local uncertainty inequality for this transform on . Also, we obtain the Heisenberg‐type uncertainty inequality using the ‐entropy of the short‐time Fourier transform on .