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Fractional fourier transform: photonic implementation.

A W Lohmann, D Mendlovic

|October 22, 2010

Summary

Fractional Fourier transforms offer a flexible way to analyze signals in both time and frequency domains. This study demonstrates their optoelectronic implementation using optical fibers for advanced photonic signal processing.

Area of Science:

Signal Processing
Optoelectronics
Photonics

Background:

Traditional Fourier transforms analyze signals in either the time or frequency domain.
Fractional Fourier transforms (FrFT) provide a generalized approach, allowing for mixed time-frequency representations.

Purpose of the Study:

To demonstrate the optoelectronic implementation of the fractional Fourier transform for temporal signals.
To explore the composition of a fractional-Fourier-transform-based photonic signal-processing system.

Main Methods:

Utilizing optoelectronic modulators for signal manipulation.
Employing optical fibers with tailored dispersion characteristics.
Implementing the fractional Fourier transform in a photonic system.

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Main Results:

Successful implementation of the fractional Fourier transform on time signals using optoelectronic and fiber-optic components.
Demonstration of a functional fractional-Fourier-transform-based photonic signal processing architecture.

Conclusions:

Fractional Fourier transforms enable versatile signal analysis with adjustable time-frequency emphasis.
Optoelectronic systems with optical fibers are viable for implementing FrFT for advanced signal processing applications.