6533b838fe1ef96bd12a3c41
RESEARCH PRODUCT
Optical illustration of a varied fractional Fourier-transform order and the Radon-Wigner display.
Carlos FerreiraZeev ZalevskyRainer DorschDavid MendlovicAdolf W. Lohmannsubject
PhysicsNon-uniform discrete Fourier transformbusiness.industryMaterials Science (miscellaneous)Short-time Fourier transformIndustrial and Manufacturing EngineeringFractional Fourier transformDiscrete Fourier transformsymbols.namesakeOpticsFourier transformFourier analysisHartley transformsymbolsBusiness and International ManagementHarmonic wavelet transformbusinessdescription
Based on an all-optical system, a display of a fractional Fourier transform with many fractional orders is proposed. Because digital image-processing terminology is used, this display is known as the Radon–Wigner transform. It enables new aspects for signal analysis that are related to time- and spatial-frequency analyses. The given approach for producing this display starts with a one-dimensional input signal although the output signal contains two dimensions. The optical setup for obtaining the fractional Fourier transform was adapted to include only fixed free-space propagation distances and variable lenses. With a set of two multifacet composite holograms, the Radon–Wigner display has been demonstrated experimentally.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-11-25 | Applied optics |