This paper presents a wideband 12 Bit 8 GS/s time-interleaved successive approximation register (SAR) analog-to-digital converter (ADC), featuring a sub-2 radix architecture with an overrange of 10% and randomized sampling with mismatch correction in a 28 nm CMOS technology. For this purpose, 18 500 MHz SAR-ADCs plus an additional reference ADC are interleaved. This topology enables a randomization approach, reducing mismatch related interleaving spurs. Furthermore, the additional reference ADC operating in parallel to the main ADC enables adaptive digital calibration to correct for static and time-interleaved mismatch effects. A wideband front-end features two subsequent push-pull buffer stages to achieve a high track- and-hold (T/H) bandwidth and high sampling linearity, while improving kickback related settling limitations. After calibration, the ADC achieves a signal to noise and distortion ratio (SNDR) of 56.8 dB and a spurious free dynamic range (SFDR) of 80 dBc applying a single full scale sine wave tone close to the Nyquist frequency of 4 GHz.

In this paper, we investigate the capacity of the Gaussian two-hop full-duplex (FD) relay channel with residual self-interference. This channel is comprised of a source, an FD relay, and a destination, where a direct source-destination link does not exist and the FD relay is impaired by residual self-interference. We adopt the worst case linear self-interference model with respect to the channel capacity, and model the residual self-interference as a Gaussian random variable whose variance depends on the amplitude of the transmit symbol of the relay. For this channel, we derive the capacity and propose an explicit capacity-achieving coding scheme. Thereby, we show that the optimal input distribution at the source is Gaussian and its variance depends on the amplitude of the transmit symbol of the relay. On the other hand, the optimal input distribution at the relay is discrete or Gaussian, where the latter case occurs only when the relay-destination link is the bottleneck link. The derived capacity converges to the capacity of the two-hop ideal FD relay channel without self-interference and to the capacity of the two-hop half-duplex (HD) relay channel in the limiting cases when the residual self-interference is zero and infinite, respectively. Our numerical results show that significant performance gains are achieved with the proposed capacity-achieving coding scheme compared with the achievable rates of conventional HD relaying and/or conventional FD relaying.

In this paper, we investigate the capacity of the Gaussian two-hop full-duplex (FD) relay channel with self-interference. This channel is comprised of a source, an FD relay, and a destination, where a direct source-destination link does not exist and the FD relay is impaired by self- interference. We model the self-interference as an additive Gaussian random variable whose variance is proportional to the amplitude of the transmit symbol at the relay. For this channel, we derive the capacity and propose an explicit capacity- achieving coding scheme. Thereby, we show that the optimal input distribution at the source is Gaussian and its variance depends on the amplitude of the transmit symbol at the relay. On the other hand, the optimal input distribution at the relay is discrete or Gaussian, where the latter case occurs only when the relay- destination link is the bottleneck link. The derived capacity converges to the capacity of the two-hop ideal FD relay channel without self- interference and to the capacity of the two-hop half-duplex (HD) relay channel in the limiting cases when the self-interference is zero and infinite, respectively. Our numerical results show that significant performance gains are achieved using the proposed capacity-achieving coding scheme compared to the achievable rates of conventional FD relaying and HD relaying.