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A long-haul transmission of 100 Gb/s without optical chromatic-dispersion(CD) compensation provides a range of benefits regarding cost effectiveness,power budget, and nonlinearity tolerance. The channel memory is largelydominated by CD in this case with an intersymbol-interference spread of morethan 100 symbol durations. In this paper, we propose CD equalization techniquebased on nonmaximally decimated discrete Fourier transform (NMDFT) filter bank(FB) with non-trivial prototype filter and complex-valued infinite impulseresponse (IIR) all-pass filter per sub-band. The design of the sub-band IIRall-pass filter is based on minimizing the mean square error (MSE) in groupdelay and phase cost functions in an optimization framework. Necessaryconditions are derived and incorporated in a multi-step and multi-bandoptimization framework to ensure the stability of the resulting IIR filter. Itis shown that the complexity of the proposed method grows logarithmically withthe channel memory, therefore, larger CD values can be tolerated with ourapproach.

Chromatic Dispersion Compensation Using Filter Bank Based Complex-Valued All-Pass Filter