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

In this paper, we study a few versions of the uncertainty principle for the short-time Fourier transform on the lattice Z(n) +T-n. 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 Z(n) +T-n. Also, we obtain the Heisenberg-type uncertainty inequality using the k-entropy of the short-time Fourier transform on Z(n) +T-n.