A Journey from Improper Gaussian Signaling to Asymmetric Signaling
arXiv:2005.00058 · doi:10.1109/COMST.2020.2989626
Abstract
The deviation of continuous and discrete complex random variables from the traditional proper and symmetric assumption to a generalized improper and asymmetric characterization (accounting correlation between a random entity and its complex conjugate), respectively, introduces new design freedom and various potential merits. As such, the theory of impropriety has vast applications in medicine, geology, acoustics, optics, image and pattern recognition, computer vision, and other numerous research fields with our main focus on the communication systems. The journey begins from the design of improper Gaussian signaling in the interference-limited communications and leads to a more elaborate and practically feasible asymmetric discrete modulation design. Such asymmetric shaping bridges the gap between theoretically and practically achievable limits with sophisticated transceiver and detection schemes in both coded/uncoded wireless/optical communication systems. Interestingly, introducing asymmetry and adjusting the transmission parameters according to some design criterion render optimal performance without affecting the bandwidth or power requirements of the systems. This dual-flavored article initially presents the tutorial base content covering the interplay of reality/complexity, propriety/impropriety and circularity/noncircularity and then surveys majority of the contributions in this enormous journey.
arXiv commentIEEE COMST (Early Access)
References in corpus (22)
- Fifty Years of MIMO Detection: The Road to Large-Scale MIMOs
- A New Look at Dual-Hop Relaying: Performance Limits with Hardware Impairments
- Widely-Linear Digital Self-Interference Cancellation in Direct-Conversion Full-Duplex Transceiver
- The MIMO Iterative Waterfilling Algorithm
- Robust Independent Component Analysis by Iterative Maximization of the Kurtosis Contrast with Algebraic Optimal Step Size
- Complex Random Vectors and ICA Models: Identifiability, Uniqueness and Separability
- Hardware Impairments Aware Transceiver for Full-Duplex Massive MIMO Relaying
- Transmit Optimization with Improper Gaussian Signaling for Interference Channels
- Evaluation of principal component analysis image denoising on multi-exponential MRI relaxometry
- Phase-conjugate optical coherence tomography
- I/Q Imbalance Aware Widely-Linear Receiver for Uplink Multi-Cell Massive MIMO Systems
- I/Q-Imbalance Self-Interference Coordination
- Rate region boundary of the SISO Z-interference channel with improper signaling
- Complex-Valued Random Vectors and Channels: Entropy, Divergence, and Capacity
- A Widely Linear Complex Autoregressive Process of Order One
- Improper Signaling for SISO Two-user Interference Channels with Additive Asymmetric Hardware Distortion
- Improper Gaussian signaling for multiple-access channels in underlay cognitive radio
- Exact Simulation of Noncircular or Improper Complex-Valued Stationary Gaussian Processes using Circulant Embedding
- Optimal DoF Region for the Asymmetric Two-Pair MIMO Two-Way Relay Channel
- Improper signaling and symbol extensions: How far can we go with Gaussian P2P codebooks in the interfering MAC with TIN?
- A Frequency Domain Test for Propriety of Complex-Valued Vector Time Series
- Classical Widely Linear Estimation of Real Valued Parameter Vectors in Complex Valued Environments