Tradeoff Between Calculation Precision and Information Rate in Eigendecomposition-Based Faster-Than-Nyquist Signaling

Masaki, Keita; Ishihara, Takumi; Sugiura, Shinya

doi:10.1109/access.2020.3043244

Cited by 10 publications

(24 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Observe in Fig. 2(a) that for T 0 = 1/(2W ), the shifted frequency responses H(f +m/T 0 ) do not overlap each other and the rectangular frequency response having the bandwidth of 2W is the unique solution that satisfies the Nyquist criterion of (16), which is given by [55,56]…”

Section: A System Modelmentioning

confidence: 99%

“…Additionally, for the T 0 > 1/(2W ) scenario of Fig. 2(b), diverse frequency characteristics that satisfy the Nyquist criterion (16) are conceivable [55], while for the T 0 < 1/(2W ) scenario of Fig. 2(c), there exists no pulse shape that satisfies the Nyquist criterion (16) due to the presence of spectral nulls in X(f ), which induce unavoidable ISI.…”

Section: A System Modelmentioning

confidence: 99%

“…AWGN 2020 K. Masaki et al [16] Evaluated the effects of the eigenvalue distribution of ISI matrix G on the achievable information rate of EVD-precoded FTN signaling combined with truncated power allocation of [15]. The tradeoff between the information rate and the calculation precision was demonstrated, with the aid of multiple-precision floating-point number calculations.…”

Section: Precoded Ftn Signalingmentioning

confidence: 99%

“…In [146], it was stated that in order to increase an information rate, the calculation precision has to be increased for a reduced τ . In [16], the effects of the eigenvalue distribution on the achievable information rate were further explored. More specifically, the eigenvalue decomposition of G was carried out based on the multiple-precision floating-point arithmetic library of [150] that enables more precise computation than the standard double-precision environment.…”

Section: Numerical Ill-conditioning Caused By Extremely Low Eigenvaluesmentioning

confidence: 99%

“…Most of the studies of FTN signaling can be classified into four categories: information-theoretic analysis [5][6][7][8][9][10][11][12][13][14][15][16][17][18], reduced-complexity receiver , channel estimation (CE) issues [35,39,[41][42][43], and transmit preprocessing/precoding [13-15, 18, 21, 44-51]. In the informationtheoretic studies, the achievable performance gains of FTN signaling over Nyquist signaling were investigated in terms of several metrics, such as the minimum Euclidean distance (MED), the mutual information, the capacity and the bit error ratio (BER).…”

mentioning

confidence: 99%

See 4 more Smart Citations

The Evolution of Faster-Than-Nyquist Signaling

2021

Self Cite

View full text Add to dashboard Cite

The fifty-year progress of faster-than-Nyquist (FTN) signaling is surveyed. FTN signaling exploits non-orthogonal dense symbol packing in the time domain for the sake of increasing the data rate attained. After reviewing the system models of both the conventional Nyquist-based and FTN signaling transceivers, we survey the evolution of FTN techniques, including their low-complexity detection and channel estimation. Furthermore, in addition to the classic FTN signaling philosophy, we introduce the recent frequency-domain filtering and precoding aided schemes. When relying on precoding, the information rate of FTN signaling becomes related to the eigenvalues of an FTN-specific intersymbol interference matrix, which provides a unified framework for the associated information-theoretic analysis and simplifies the associated power allocation specifically designed for increasing the information rate attained. We show that the FTN signaling scheme combined with bespoke power allocation employing a realistic raised-cosine shaping filter achieves the Shannon capacity associated with ideal rectangular shaping filters.

show abstract

Section: A System Modelmentioning

confidence: 99%

Section: A System Modelmentioning

confidence: 99%

Section: Precoded Ftn Signalingmentioning

confidence: 99%

Section: Numerical Ill-conditioning Caused By Extremely Low Eigenvaluesmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

The Evolution of Faster-Than-Nyquist Signaling

2021

Self Cite

View full text Add to dashboard Cite

show abstract

Precoded Faster-than-Nyquist Signaling with Optimal Power Allocation in Frequency-Selective Channel

Ishihara

Sugiura

2021

2021 IEEE International Conference on Communications Workshops (ICC Workshops)

View full text Add to dashboard Cite

In this paper, we propose eigendecompositionprecoded faster-than-Nyquist (FTN) signaling with power allocation in a frequency-selective fading channel. More specifically, we derive mutual information associated with the proposed FTN signaling. Then, the optimal power coefficients are calculated such that the derived mutual information is maximized. Our analytical performance results show that the proposed FTN signaling scheme achieves a higher information rate than the conventional FTN signaling scheme without relying on power allocation and the classic Nyquist-based signaling scheme, under the assumption that all the schemes employ a root-raised cosine shaping filter. Moreover, our numerical simulation results of the bit error ratio performance and the power spectral density demonstrate that the proposed FTN scheme outperforms the conventional Nyquist-based signaling scheme without sacrificing any bandwidth broadening.

show abstract

Eigenvalue Decomposition Precoded Faster-Than-Nyquist Transmission of Index Modulated Symbols

Chaki

Ishihara

Sugiura

2021

2021 IEEE International Symposium on Information Theory (ISIT)

Self Cite

View full text Add to dashboard Cite

In this paper, we propose a precoded faster-than-Nyquist (FTN) signaling technique for time-domain single-carrier index modulated (IM) symbol transmission. More precisely, eigenvalue decomposition precoding is adopted for the FTN transmission of data bits modulated by single-carrier time-domain IM. While the FTN scheme increases the spectral efficiency and data rate by packing more transmit symbols per block duration than those defined in the Nyquist criterion, time-domain IM works towards the same objective while maintaining symbol sparsity. We analytically derive the constrained capacity of the proposed system. Our simulation results show that the proposed scheme has better bit error ratio (BER) performance over the conventional FTN-IM scheme, particularly for the scenario of a higher packing ratio. In the proposed scheme, 2.5-dB performance gain is observed at the BER of = 10 −4 , employing the packing ratio of 0.7 and the roll-off factor of 0.5 in a channel-uncoded scenario.

show abstract

Tradeoff Between Calculation Precision and Information Rate in Eigendecomposition-Based Faster-Than-Nyquist Signaling

Cited by 10 publications

References 35 publications

The Evolution of Faster-Than-Nyquist Signaling

The Evolution of Faster-Than-Nyquist Signaling

Precoded Faster-than-Nyquist Signaling with Optimal Power Allocation in Frequency-Selective Channel

Eigenvalue Decomposition Precoded Faster-Than-Nyquist Transmission of Index Modulated Symbols

Contact Info

Product

Resources

About