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

As a generalization of the two-dimensional Fourier transform (2D FT) and 2Dfractional Fourier transform, the 2D nonseparable linear canonical transform(2D NsLCT) is useful in optics, signal and image processing. To reduce thedigital implementation complexity of the 2D NsLCT, some previous worksdecomposed the 2D NsLCT into several low-complexity operations, including 2DFT, 2D chirp multiplication (2D CM) and 2D affine transformations. However, 2Daffine transformations will introduce interpolation error. In this paper, wepropose a new decomposition called CM-CC-CM-CC decomposition, which decomposesthe 2D NsLCT into two 2D CMs and two 2D chirp convolutions (2D CCs). No 2Daffine transforms are involved. Simulation results show that the proposedmethods have higher accuracy, lower computational complexity and smaller errorin the additivity property compared with the previous works. Plus, the proposedmethods have perfect reversibility property that one can reconstruct the inputsignal/image losslessly from the output.

Two-dimensional nonseparable discrete linear canonical transform based on CM-CC-CM-CC decomposition