Shaping pulse of faster-than-Nyquist signaling with truncated optimal detector

In this paper, we investigate the shaping pulse of faster-than-Nyquist (FTN) signaling by making use of the reduced complexity truncated optimal maximum-likelihood sequence detection. Specifically, the nonorthogonal Gaussian shaping pulse which owns the approximate optimal energy concentration in time-frequency domains is exploited. Moreover, for fair of comparisons, a general benchmark for different shaping pulses is adopted, and based on which, the Euclidean distance (or Mazo limit) and practical information rate performance of FTN signaling with Gaussian pulse and conventional T-orthogonal shaping pulses such as pulse and root raised cosine pulse are evaluated. Theoretical analyses and numerical results demonstrate that when employed with truncated optimal detector and small channel memory at the receiver, the Gaussian pulse could achieve better BER and information rate performance than conventional T-orthogonal pulses.