Wavelength Shift Keying Technique to Reduce Four-Wave Mixing Crosstalk in WDM
نویسندگان
چکیده
--In low dispersion fibers, FWM spectrum is symmetric around the zero dispersion point. Wavelength shift keying technique using symmetric wavelengths and balanced detection can cancel FWM crosstalk to first order. Wavelength division multiplexing (WDM), zero or low dispersion fibers, and Er-doped fiber amplifiers are being used in long-haul communications links to increase capacity and to extend distances between signal regeneration. Taken together, these techniques can result in severe performance degradation due to four-wave mixing (FWM) [1,2]. Several methods have been proposed to reduce the effects of FWM crosstalk [3,4], but generally these increase the difficulty of adding channels to the system. We describe a WDM wavelength shift keying technique that completely cancels FWM interference to first order. Modeling shows that this technique substantially improves performance relative to standard on-off WDM encoding; experimental testing of the technique is underway. Four-wave mixing is a third-order nonlinear process in optical fibers in which two or more wavelengths combine and produce several mixing products. For uniformly spaced WDM channels, the generated FWM waves fall onto other active channels in the band, causing interchannel crosstalk. For operation near the zero dispersion wavelength, all FWM combinations are easily phase matched, causing significant interference and thereby hampering system performance. Therefore, Four-wave mixing becomes the main concern for WDM using low dispersion fibers, i.e. dispersion shifted fibers. Calculations show that the FWM spectrum is symmetric around the zero dispersion point [5] and therefore can be significantly depressed using symmetric wavelength assignment and balanced detection. In WDM wavelength shifted keying, each user is assigned two specific wavelengths that are symmetric with respect to the zero dispersion wavelength. One wavelength is used to transmit symbol “1”, while the other is used to transmit symbol “0”. The modulated signals of all users are combined, propagate along the long-haul dispersion-shifted fiber, and experience attenuation and spectrum deformation due to FWM. At the receiver, narrow band filters select the desired user’s two wavelengths and they are detected by a balanced receiver. The received signal is positive for symbol “1”and negative for symbol “0”. While wavelength shift keying requires twice as many wavelengths to support a given number of data channels, it has a number of advantages. Complementary keying has a 3 dB signal to noise advantage over on-off keying; dispersion shifted fiber permits higher transmission rates; and detection of both data symbols involves detection of energy at a nonzero threshold, reducing sensitivity to noise of all types. The balanced detection cancels all noise having a uniform spectral distribution and symmetric assignment of symbol wavelengths around the zero dispersion wavelength cancels FWM interference to first order. Our model assumes N users in the system, each transmitting the same power P0 for every data bit. The power of the optical signal generated by FWM in wavelength i is given by
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