MMSE Filter Design for Full-duplex Filter-and-forward MIMO Relays under Limited Dynamic Range

Abstract

We study the problem of optimizing the end-to-end performance of a full-duplex filter-and-forward MIMO relay link, consisting of a source, a relay, and a destination node, by employing linear filtering at each node. The system model accounts for multipath propagation and self-interference at the relay, as well as transmitter impairments and limited dynamic range at every node. The design accommodates signals with arbitrary spectra and includes the direct link between the source and destination nodes. Under the minimum mean square error criterion, the resulting non-convex problem is approximated by a sequence of convex problems and solved by means of an alternating minimization method. Linear constraints allocate some of the degrees of freedom in the relay to guarantee a sufficiently small residual self-interference. Simulations quantify the impact of degrees of freedom, the dynamic range, and the balance between direct and relay paths on the link performance.

Distributed Fusion Filtering for Nonlinear Time-Varying Systems Over Amplify-and-Forward Relay Networks: An $H_{\infty }$ Quantized Framework

“…Clearly, the transmission distance cannot be infinite because of the limited transmission capability of the sensors. To extend the propagation distance and enhance the communication quality, some efficient relay-based protocols have been put forward to facilitate the signal transmissions over long-distance communication channels, and some widely deployed protocols include the amplify-and-forward (AaF) protocol [17], [29], the decode-and-forward (DaF) protocol [18], [32], and the filtering-and-forward (FaF) protocol [2], [3].…”

Auxiliary Particle Filtering Over Sensor Networks Under Protocols of Amplify-and-Forward and Decode-and-Forward Relays

“…For instance, in [46], the source (AF relay, respectively) has been formulated as a finite (infinite, respectively) impulse response filter, and the minimum mean-square error (MMSE) filter has been parameterized via quadratic programming. The MMSE filter has been designed for systems with full-duplex filter-andforward relays under dynamic range constraints in [2], where the design problem has been transformed into a quadratic optimization problem with both equality and inequality constraints.…”