Effects of Eigenvalue Distribution on Precoded Faster-than-Nyquist Signaling with Power Allocation

In this paper, we investigate the achievable performance of precoded faster-than-Nyquist (FTN) signaling with truncated power allocation from the information-theoretic perspective. More specifically, the effects of the eigenvalue distribution of the FTN-specific inter-symbol interference (ISI) matrix on the information rate were investigated. In order to evaluate the effects of significantly low eigenvalues, 1024-bit eigendecomposition calculations, which is significantly accurate in comparison to the calculations in the standard double-precision environment, are carried out. It is demonstrated that there is a novel performance tradeoff between the information rate versus the calculation precision of a transmit signal in the precoded FTN signaling scheme with truncated power allocation.