English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper, we study a few versions of the uncertainty principle for the short‐time Fourier transform on the latticeZ  n   ×   T  n    $\mathbb {Z}^n \times \mathbb {T}^n$   . 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 onZ  n   ×   T  n    $\mathbb {Z}^n \times \mathbb {T}^n$   . Also, we obtain the Heisenberg‐type uncertainty inequality using the    k  $k$   ‐entropy of the short‐time Fourier transform onZ  n   ×   T  n    $\mathbb {Z}^n \times \mathbb {T}^n$   .

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