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Optical sinc-shaped Nyquist pulses with very low roll-off generated from a rectangular frequency comb

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Luc Thévenaz, Camille Sophie Brès, Marcelo Alfonso Soto Hernandez, Mohammad Amin Shoaie, Mohammad Mehdi Alem Karladani
2013

Résumé

High-quality optical sinc-shaped Nyquist pulses with a virtual zero roll-off factor are obtained from the generation of a phase-locked, rectangular-spectrum frequency comb. Tunability over more than 4 frequency decades is demonstrated with

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https://infoscience.epfl.ch/entities/publication/e7ceeea9-d6b8-4654-b4e2-8c122297d123

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Concepts associés (11)

La fonction porte, généralement notée Π, est la fonction indicatrice de l'intervalle réel [–1/2, 1/2], c'est-à-dire la fonction mathématique par laquelle un nombre réel a une nulle, sauf s'il est compris entre –1/2 et 1/2, auquel cas son image vaut 1. Son graphe a une forme similaire à celle d'une porte, d'où son nom. La fonction porte , définie sur les réels et à valeurs dans , est définie par : Par généralisation, on appelle également fonction porte toute fonction déduite par translation et/ou dilatation de la fonction définie ci-dessus.

Spectral leakage

The Fourier transform of a function of time, s(t), is a complex-valued function of frequency, S(f), often referred to as a frequency spectrum. Any linear time-invariant operation on s(t) produces a new spectrum of the form H(f)•S(f), which changes the relative magnitudes and/or angles (phase) of the non-zero values of S(f). Any other type of operation creates new frequency components that may be referred to as spectral leakage in the broadest sense. Sampling, for instance, produces leakage, which we call aliases of the original spectral component.

Discrete-time Fourier transform

In mathematics, the discrete-time Fourier transform (DTFT), also called the finite Fourier transform, is a form of Fourier analysis that is applicable to a sequence of values. The DTFT is often used to analyze samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose interval has units of time. From uniformly spaced samples it produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original continuous function.

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