1. A coherent optical receiver device, the device comprising: an input signal; a first fast Fourier transform (FFT) module receiving the input signal, the first FFT module being configured to compute a first discrete Fourier transform (DFT) of the input signal; a chromatic dispersion (CD) equalizer module coupled to the first FFT module, the CD equalizer module being configured to compensate for CD affecting the input signal; a polarization mode dispersion (PMD) equalizer module coupled to the CD equalizer and a least means square (LMS) module, the PMD equalizer module being configured to compensate for PMD affecting the input signal following compensation by the CD equalizer module, the PMD equalizer module having a plurality of PMD taps; an inverse FFT (IFFT) module coupled to the PMD equalizer module, the IFFT module being configured to compute an inverse DFT of the input signal; an interpolated timing recovery (ITR) module coupled to the IFFT module, the ITR module being configured to synchronize the input signal; an error evaluation module coupled to the ITR module, the error evaluation module being configured to iteratively adjust a determinant of a frequency-domain (FD) coefficient-based matrix to minimize an error of convergence; and a second FFT module coupled to the error evaluation module, the second FFT module being configured to compute a second DFT of the input signal; wherein the LMS module is coupled to the second FFT module, the CD equalizer module, and the PMD equalizer module, the LMS module being configured to filter the input signal.