Abstract
Recently, in the field of fractional Fourier transforms (FRT) an operation coined "fractional correlation" has been proposed and investigated experimentally. In this paper we propose a new setup for obtaining the fractional correlation, which presents several advantages from the experimental point of view. The fractional filter plane can be adjusted accurately with the help of converging beam illumination and using an adjusting device consisting of a combination of Fresnel zone plates. Moreover the scaling factor between the input pattern and the filter can be adjusted at will. This degree of freedom is of special interest when using SLMs. In addition we present a configuration, based on this setup, for spatial filtering of chirp noise in the fractional Fourier domain.
| Original language | English |
|---|---|
| Pages (from-to) | 393-400 |
| Number of pages | 8 |
| Journal | Optics Communications |
| Volume | 133 |
| Issue number | 1-6 |
| DOIs | |
| State | Published - 1 Jan 1997 |
| Externally published | Yes |
Bibliographical note
Funding Information:This work was supported by Spanish Comision Interministerial de Ciencia y Tecnologia, under the project TAP!23-0667-103-03.
Funding
This work was supported by Spanish Comision Interministerial de Ciencia y Tecnologia, under the project TAP!23-0667-103-03.
| Funders | Funder number |
|---|---|
| Comisión Interministerial de Ciencia y Tecnología | 23-0667-103-03 |
Keywords
- Chirp filtering
- Correlation
- Fourier transform
- Fractional Fourier transform
- Fractional correlation
- Pattern recognition