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Abstract
This study 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 conventional and proposed SVD-precoded FTN signaling architectures. The associated information rate bound is derived in a closed-form by extending the classic Shannon capacity to support the SVD-precoded FTN signaling schemes. Our analytical performance results demonstrate that the proposed scheme outperforms its conventional Nyquist-criterion-based counterpart and the conventional SVD-precoded FTN signaling scheme, which does not use power allocation. Several important implementation issues, such as inter-block interference, the use of a frequency-selective (dispersive) channel, truncation, and sampling rate, are also considered. Finally, a suboptimal power allocation scheme that overcomes the truncation issue is presented.
Highlights
T HE concept of faster-than-Nyquist (FTN) signaling, first introduced in the 1970s [1]–[4], relies on the transmission of non-orthogonal pulses in the time domain
In FTN signaling, pulses have a symbol interval T = τ T0 (0 < τ ≤ 1), which is shorter than that defined by the Nyquist criterion T0, which guarantees inter-symbol interference (ISI)-free time-orthogonal pulse transmission
Based on our simulation results of the power spectral density (PSD) and bit error ratio (BER), our proposed singular-value decomposition (SVD)-precoded FTN signaling with truncated power allocation is shown to achieve a higher information rate than the conventional FTN signaling and the classic Nyquist-criterion-based schemes
Summary
T HE concept of faster-than-Nyquist (FTN) signaling, first introduced in the 1970s [1]–[4], relies on the transmission of non-orthogonal pulses in the time domain. The analytical performance results, based on the derived capacity, demonstrate that the proposed SVD-precoded FTN signaling scheme with power allocation has a significantly higher information rate bound than those of the conventional SVD-precoded FTN signaling scheme and the classic Nyquist-criterion-based scheme. Based on our simulation results of the PSD and BER, our proposed SVD-precoded FTN signaling with truncated power allocation is shown to achieve a higher information rate than the conventional FTN signaling and the classic Nyquist-criterion-based schemes. This is achieved without sacrificing any substantial spectrum broadening.
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