On the Capacity of Faster Than Nyquist Signaling

This letter considers the capacity computations of faster-than-Nyquist (FTN) signaling. It calculates the theoretical capacity of FTN signaling which is obtained by a correlated input. The capacity-achieving power spectral density (PSD) is derived and its superiority over the independent input is shown. The practical issue imposed by the capacity-achieving PSD, i.e., out-of-band (OOB) emission, is shown. To solve this issue, an upper-bound is introduced for the input PSD to limit the OOB emission. The new optimization problem is solved and the constrained PSD is obtained. The introduced PSD captures the trade-off between the obtained capacity and the OOB emission.

[1]  Fredrik Rusek,et al.  Constrained Capacities for Faster-Than-Nyquist Signaling , 2009, IEEE Transactions on Information Theory.

[2]  Joon Ho Cho,et al.  { Asymptotic Optimality of Binary Faster-than-Nyquist Signaling} , 2010, IEEE Communications Letters.

[3]  Johan Karlsson,et al.  Time Localization and Capacity of Faster-Than-Nyquist Signaling , 2014, 2015 IEEE Global Communications Conference (GLOBECOM).

[4]  Fredrik Rusek,et al.  Faster-Than-Nyquist Signaling , 2013, Proceedings of the IEEE.

[5]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[6]  Yong Jin Daniel Kim,et al.  Faster-Than-Nyquist Broadcasting in Gaussian Channels: Achievable Rate Regions and Coding , 2016, IEEE Transactions on Communications.

[7]  U. Grenander,et al.  Toeplitz Forms And Their Applications , 1958 .

[8]  Fredrik Rusek,et al.  Faster than Nyquist Signaling: Algorithms to Silicon , 2014 .

[9]  Zhanyu Yang,et al.  Capacity limit for faster-than-Nyquist non-orthogonal frequency-division multiplexing signaling , 2017, Scientific Reports.

[10]  Fredrik Rusek,et al.  Non Binary and Precoded Faster Than Nyquist Signaling , 2008, IEEE Transactions on Communications.

[11]  Sergio Verdú,et al.  The capacity region of the symbol-asynchronous Gaussian multiple-access channel , 1989, IEEE Trans. Inf. Theory.

[12]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[13]  Halim Yanikomeroglu,et al.  A Very Low Complexity Successive Symbol-by-Symbol Sequence Estimator for Faster-Than-Nyquist Signaling , 2016, IEEE Access.

[14]  Stefano Cioni,et al.  DVB-S2X-enabled precoding for high throughput satellite systems , 2016, Int. J. Satell. Commun. Netw..

[15]  James L. Massey,et al.  Capacity of the discrete-time Gaussian channel with intersymbol interference , 1988, IEEE Trans. Inf. Theory.

[16]  Fredrik Rusek,et al.  The Effect of Signaling Rate on Information Rate for Single Carrier Linear Transmission Systems , 2012, IEEE Transactions on Communications.