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Mitigating the fiber chromatic dispersion through combined pulse shaping, line coding, and chirping

A highly dispersive fiber behaves like a Fourier transformer with respect to the complex envelope of the input signal. It follows that the best pulse shape for transmission on a dispersive fiber is that one of the most concentrated in frequency and time, and thus related to the prolate spheroidal wave functions. This is used to devise line coding schemes highly insensitive to chromatic dispersion. However, the greater the dispersion, the more complex these schemes become. The effect of filtering and chirping is also taken into account and it is shown that chirping over a bit time is not useful for bit rates greater than 10 Gb/s.