Affiliation:
1. Department of Applied Mathematics School of Mathematics and Physics Xi'an Jiaotong‐Liverpool University Suzhou Jiangsu China
2. Department of Mathematics Indian Institute of Technology Delhi New Delhi India
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 k‐entropy of the short‐time Fourier transform on .