Based on an all-optical system, a chart of a fractional Fourier transform with many fractional orders is proposed. Using the digital image processing terminology, this chart is known as the Radon-Wigner transform. It enables new aspects for signal analysis which are related to time- frequency and spatial frequency analysis. The given approach for producing this chart starts with a one dimensional input signal while 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 chart has been experimentally demonstrated.
|Original language||American English|
|Title of host publication||Proc. SPIE 2730, Second Iberoamerican Meeting on Optics|
|State||Published - 1996|