Constrained capacities for faster-than-Nyquist signaling

This paper deals with capacity computations of faster-than-Nyquist (FTN) signaling. It shows that the capacity of FTN is higher than the orthogonal pulse linear modulation capacity for all pulse shapes except the sinc. FTN signals can in fact achieve the ultimate capacity for the signal power spectral density (PSD). The paper lower and upper bounds the FTN capacity under the constraint of finite input alphabet. It is often higher than the capacity for comparable orthogonal pulse systems; sometimes it is superior to all forms of orthogonal signaling with the same PSD

Impact of Spectrum Sharing on the Efficiency of Faster-Than-Nyquist Signaling

Capacity computations are presented for Faster-Than-Nyquist (FTN) signaling in the presence of interference from neighboring frequency bands. It is shown that Shannon's sinc pulses maximize the spectral efficiency for a multi-access channel, where spectral efficiency is defined as the sum rate in bits per second per Hertz. Comparisons using root raised cosine pulses show that the spectral efficiency decreases monotonically with the roll-off factor. At high signal-to-noise ratio, these pulses have an additive gap to capacity that increases monotonically with the roll-off factor.Comment: IEEE copyrights notice applies. This paper is accepted at WCNC 201

Time Localization and Capacity of Faster-Than-Nyquist Signaling

In this paper, we consider communication over the bandwidth limited analog white Gaussian noise channel using non-orthogonal pulses. In particular, we consider non-orthogonal transmission by signaling samples at a rate higher than the Nyquist rate. Using the faster-than-Nyquist (FTN) framework, Mazo showed that one may transmit symbols carried by sinc pulses at a higher rate than that dictated by Nyquist without loosing bit error rate. However, as we will show in this paper, such pulses are not necessarily well localized in time. In fact, assuming that signals in the FTN framework are well localized in time, one can construct a signaling scheme that violates the Shannon capacity bound. We also show directly that FTN signals are in general not well localized in time. Therefore, the results of Mazo do not imply that one can transmit more data per time unit without degrading performance in terms of error probability. We also consider FTN signaling in the case of pulses that are different from the sinc pulses. We show that one can use a precoding scheme of low complexity to remove the inter-symbol interference. This leads to the possibility of increasing the number of transmitted samples per time unit and compensate for spectral inefficiency due to signaling at the Nyquist rate of the non sinc pulses. We demonstrate the power of the precoding scheme by simulations

Pulse Shaping Diversity to Enhance Throughput in Ultra-Dense Small Cell Networks

Spatial multiplexing (SM) gains in multiple input multiple output (MIMO) cellular networks are limited when used in combination with ultra-dense small cell networks. This limitation is due to large spatial correlation among channel pairs. More specifically, it is due to i) line-of-sight (LOS) communication between user equipment (UE) and base station (BS) and ii) in-sufficient spacing between antenna elements. We propose to shape transmit signals at adjacent antennas with distinct interpolating filters which introduces pulse shaping diversity eventually leading to improved SINR and throughput at the UEs. In this technique, each antenna transmits its own data stream with a relative offset with respect to adjacent antenna. The delay which must be a fraction of symbol period is interpolated with the pulse shaped signal and generates a virtual MIMO channel that leads to improved diversity and SINR at the receiver. Note that non-integral sampling periods with inter-symbol interference (ISI) should be mitigated at the receiver. For this, we propose to use a fractionally spaced equalizer (FSE) designed based on the minimum mean squared error (MMSE) criterion. Simulation results show that for a 2x2 MIMO and with inter-site-distance (ISD) of 50 m, the median received SINR and throughput at the UE improves by a factor of 11 dB and 2x, respectively, which verifies that pulse shaping can overcome poor SM gains in ultra-dense small cell networks.Comment: Accepted to 17th IEEE International Workshop on Signal Processing Advances in Wireless Communication

FTN Signaling In the Saturation Regime: Spectral Efficiency Improvement

Faster-than-Nyquist (FTN) signaling is investigated in future satellite communication standardization for an improved spectral efficiency considering the increasingly constrained resource. Previous studies showed that FTN lower modulation orders compressed in time-domain could reach the spectral efficiency of uncompressed higher modulation orders. The FTN gain in terms of transmission rate is obtained at the price of a turbo-equalization at the receiver, increasing the complexity. The increased capacity in DVB-S2X’s transmissions is due to innovations increasing the fluctuation of the complex envelop of the transmitted signal. Since the satellite’s payload introduces higher non-linear distortions with increased fluctuations, the growing receiver’s complexity is unavoidable. However, in this non linear regime, the complexity of the FTN receiver is not this detrimental compared with those of a classical Nyquist receiver. For a similar spectral efficiency, its lower Peak to Average Power Ratio (PAPR), making the non-linearities treatment easier, makes this innovation suitable for future satellite communications, especially when the payload is operated in the saturation regime. In this paper, we show that compression offers a gain between 10 and 20 in terms of spectral efficiency when compared to Nyquist signaling, both equalized thanks to the MAP symbol detection based on the Volterra series model of non-linearities