Foundations of MIMO Communication

Abstract

Theory is the first term in the Taylor series expansion of practice. Thomas Cover 5 1.2 Signal distributions Table 1.1 Constellation minimum distancesConstellation d min M -PSK 2 sin π M Square M -QAM 6 M −1 M -ary phase shift keying (M -PSK), where s m = e j2π m M +φ0 m = 0, . . . , M − 1 (1.1) with φ 0 an arbitrary phase. Because of symmetry, the points are always equiprobable, p m = 1/M for m = 0, . . . , M − 1. Special mention must be made of binary phase-shift keying (BPSK), corresponding to M = 2, and quadrature phase-shift keying (QPSK), which corresponds to M = 4. Square M -ary quadrature amplitude modulation (M -QAM), where the in-phase and quadrature components of s independently take values in the set 3 2(Nonsquare M -QAM constellations also exist, and they are employed regularly in wireline systems, but seldom in wireless.) Although making the points in a M -QAM constellation equiprobable is not in general optimum, it is commonplace. Note that, except for perhaps an innocuous rotation, 4-QAM coincides with QPSK.

Analysis of Cellular and Cell-Free Massive MIMO with Rician Fading

“…Thus, each incoming wave is mapped onto many scattered ones. The radio waves can also be bent around to shape edges, such as rooftops, and this phenomenon is referred to as diffraction [21].…”

Beamforming Cancellation Design for Millimeter-Wave Full-Duplex

“…[u]}, as described by (8). Invoking (9) on each gives us BB gives us the baseband beamforming matrix at k and j, respectively, for each subcarrier as described by (10).…”

“…With these definitions, we recognize that a desirable design of the baseband precoder at i resembles that of a regularized zero-forcing (RZF) transmitter (or commonly called a linear minimum mean square error (LMMSE) transmitter) [8]. In such a precoder design, the signal-to-leakage-plus-noise ratio is the metric of choice, rather than the signal-to-interferenceplus-noise ratio which would apply to the combiner design.…”

Uplink Fractional Power Control for Cell-Free Wireless Networks

“…Following on the footsteps of [16], we seek to minimize the variance of the large-scale SIR distribution (in dB), hence the starting point needs to be an expression for such SIR. In a cellular network, this equals the local-average desired signal power divided by the local-average other-cell interference power, namely [19]…”