Full-Rate Full-Diversity Finite Feedback Space-Time Schemes with Minimum Feedback and Transmission Duration

Abstract

In this paper a universal necessary condition for any FFS to achieve full-diversity is given, using which the notion of FeedbackTransmission duration optimal (FT-Optimal) FFSs -schemes that use minimum amount of feedback N given the transmission duration T , and minimum transmission duration given the amount of feedback to achieve full-diversity -is introduced. When there is no feedback, i.e., when N = 1, an FT-optimal scheme consists of a single STBC with T = Nt, and the universal necessary condition reduces to the well known necessary and sufficient condition for an STBC to achieve full-diversity viz., every non-zero codeword difference matrix of the STBC must be of rank Nt. Also, a sufficient condition for full-diversity is given for the class of FFSs in which the feedback chooses the component STBC with the largest minimum Euclidean distance. Using this sufficient condition full-rate (rate Nt) full-diversity FT-Optimal schemes are constructed for all triples (Nt, T, N ) with N T = Nt. These are the first full-rate full-diversity FFSs reported in the literature for T < Nt. Finally, simulation results are presented that show that the new FFSs have the best error performance among all the schemes available in the literature.

Quantifying the Transmit Diversity Order of Euclidean Distance Based Antenna Selection in Spatial Modulation

“…Let the optimal set of TAs for a given channel realization be as in (2). Then the PEP between any two distinct TVs indexed by in the codebook is given by 1 The Proposition 1 in our paper is a generalization of Theorem 2 in [20] which is used along with Proposition 2 to arrive at our main result. Note that Proposition 2 constitutes the main result of our paper.…”

“…Proposition 1: The SM system employing EDAS achieves a diversity order of . Proof: We adopt the steps in the proof of Theorem 2 in [20], showing that the rate of decay for the pairwise error probability (PEP) between any two TVs is at least 1 . Let the TVs in each codebook be indexed as .…”

Diversity order of precoding‐aided spatial modulation using receive antenna selection

“…Diversity analysis: To analyse the diversity order of the ZF-PSM system using RAS selection, we take the steps employed in [5,6]. Let D k , k = 1, 2, .…”

A Generalized Transmit and Receive Diversity Condition for Feedback-Assisted MIMO Systems: Theory and Applications in Full-Duplex Spatial Modulation

“…Thus, a limited feedback (LF) approach is adopted, where a codeword is selected from a pre-determined codebook that maximizes a certain metric of interest. Some of the codebooks conceived for LF schemes include the popular Grassmannian codebook [10], unitary TPC-aided orthogonal STBCs [11], combined-beamforming and STBC-aided quantized feedback [12], algebraic rotation and threaded space-time architecture assisted codebooks [13] etc.…”