Optimal and Suboptimal Power Allocation for SVD-Precoded Faster-than-Nyquist Signaling

Abstract

This paper proposes a precoded faster-than-Nyquist (FTN) signaling scheme based on singular-value decomposition (SVD) with optimal power allocation. An information-theoretic analysis is conducted on the proposed SVD-precoded FTN signaling architecture. Analytical performance results demonstrate that the proposed optimal scheme outperforms its conventional Nyquist-criterion- based counterpart and the conventional SVD- precoded FTN signaling scheme, which does not use power allocation. In order to overcome the limitations associated with significantly low singular values, suboptimal truncated power allocation is incorporated.