Parametric Bilinear Iterative Generalized Approximate Message Passing Reception of FTN Multi-Carrier Signaling

A low-complexity parametric bilinear generalized approximate message passing (PBiGAMP)-based receiver is conceived for multi-carrier faster-than-Nyquist (MFTN) signaling over frequency-selective fading channels. To mitigate the inherent ill-conditioning problem of MFTN signaling, we construct a segment-based frequency-domain received signal model in form block circulant linear transition matrix, which can be efficiently calculated by applying two dimensional fast Fourier transform. Based on eigenvalue decomposition matrices, diagonalize covariance matrix complex-valued colored noise process imposed associated non-orthogonal matched filtering. Building this model, PBiGAMP-based joint channel estimation and equalization (JCEE) algorithm proposed systems. In algorithm, introduce pair additive terms characterizing interferences arising from adjacent segments employ exact discrete a priori probabilities transmitted symbols improving bit error rate (BER) performance. further enhance system’s robustness presence ill-conditioned develop refined JCEE introducing series scaled identity matrices. Moreover, algorithms may readily decomposed into GAMP-based algorithms, when state information perfectly known. The overall complexity only increases logarithmically with total number symbols. Our simulation results demonstrate benefits iterative signaling.