On the Capacity of the Wiener Phase-Noise Channel: Bounds and Capacity Achieving Distributions
arXiv:1503.08644 · doi:10.1109/TCOMM.2015.2465389
Abstract
In this paper, the capacity of the additive white Gaussian noise (AWGN) channel, affected by time-varying Wiener phase noise is investigated. Tight upper and lower bounds on the capacity of this channel are developed. The upper bound is obtained by using the duality approach, and considering a specific distribution over the output of the channel. In order to lower-bound the capacity, first a family of capacity-achieving input distributions is found by solving a functional optimization of the channel mutual information. Then, lower bounds on the capacity are obtained by drawing samples from the proposed distributions through Monte-Carlo simulations. The proposed capacity-achieving input distributions are circularly symmetric, non-Gaussian, and the input amplitudes are correlated over time. The evaluated capacity bounds are tight for a wide range of signal-to-noise-ratio (SNR) values, and thus they can be used to quantify the capacity. Specifically, the bounds follow the well-known AWGN capacity curve at low SNR, while at high SNR, they coincide with the high-SNR capacity result available in the literature for the phase-noise channel.
IEEE Transactions on Communications, 2015
References in corpus (7)
- Analysis of Oscillator Phase-Noise Effects on Self-Interference Cancellation in Full-Duplex OFDM Radio Transceivers
- Capacity bounds for MIMO microwave backhaul links affected by phase noise
- Capacity of SIMO and MISO Phase-Noise Channels with Common/Separate Oscillators
- Estimation of phase noise in oscillators with colored noise sources
- On the Impact of Oscillator Phase Noise on the Uplink Performance in a Massive MIMO-OFDM System
- Oscillator Phase Noise and Small-Scale Channel Fading in Higher Frequency Bands
- Effect of Synchronizing Coordinated Base Stations on Phase Noise Estimation