A Framework to Construct 3-Dimensional Complementary Codes for Multi-User MIMO Systems

Sun, Siyue; Chen, Hsiao‐Hwa; Meng, Weixiao

doi:10.1109/tvt.2014.2351254

Cited by 7 publications

(8 citation statements)

References 38 publications

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“…In this way, a CC for the k th user can be denoted as C ( k ) , where k ∈{1,2,…, K } and K is the number of users supported. A CC can be represented by an M × N matrix C ( k ) , which unfolds as follows:

\begin{matrix} C_{M \times N}^{(k)} = [\begin{array}{l} c_{1}^{(k)} \\ c_{2}^{(k)} \\ ⋮ \\ c_{M}^{(k)} \end{array}] \\ = {[\begin{array}{l} c_{11}^{(k)} & c_{12}^{(k)} & \dots & c_{1 N}^{(k)} \\ c_{21}^{(k)} & c_{22}^{(k)} & \dots & c_{2 N}^{(k)} \\ ⋮ & ⋮ & ⋮ & ⋮ \\ c_{M 1}^{(k)} & c_{M 2}^{(k)} & \dots & c_{M N}^{(k)} \end{array}]}_{M \times N} \end{matrix}

where

c_{m n}^{(k)} \in ({}, + 1, - 1), k \in ({}, 1, 2, \dots, K), n \in ({}, 1, 2, \dots, N)

and m ∈{1,2,…, M } . Each CC C ( k ) consists of M element sequences

c_{m}^{(k)}

, in which all element codes have the same length N and M is the flock size, which determines the number of element codes used by the same user.…”

Section: Air‐link Designs Between Gateways and Small‐cell Access Pointsmentioning

confidence: 99%

“…Complementary correlation properties Assume that code sequences A and B are defined as A = { A 1 , A 2 ,…, A N } and B = { B 1 , B 2 ,…, B N }, each of which contains N chips. The aperiodic correlation function ψ ( A , B ; τ ) with relative delay τ between two codes is defined as follows:

\begin{matrix} ψ (A, B; τ) = ψ (B, A; |τ|) = \sum_{n = 0}^{N - 1 - |τ|} B_{i} A_{n + |τ|} \\ 1 - L ⩽ τ < 0 \end{matrix}

Similarly, we can discuss the correlation functions of 2DCCs and 3DCCs in the following text, and more details are shown in . For 2DCCs and 3DCCs, complementary aperiodic correlation function is generated by summing up aperiodic correlation functions of all element codes with the same delay variable τ .…”

Section: Air‐link Designs Between Gateways and Small‐cell Access Pointsmentioning

confidence: 99%

“… A. Applications of 3DCCs in MTC G2S air‐link In addition to analytical performance evaluation performed in the literature , simulated bit‐error‐rate (BER) performance of the proposed 3DCC‐MIMO system over both flat and multipath fading channels showed that the constructed 3DCCs can eliminate both MAIs and MPIs in multiuser MIMO communication systems.Owing to the outstanding properties of MIMO providing both spatial diversity and multiplex with a flexible trade‐off, it is desirable to construct a complementary‐coded MIMO system for providing communications for the air‐link interface between gateways and small‐cell APs (G2S), such as the system shown in Figure . B. Gateway to small‐cell AP (G2S) air‐link design Gateway to small‐cell AP (G2S) link is an optional link in M2M communications, and its air‐interface design is still an open issue.…”

Section: Air‐link Designs Between Gateways and Small‐cell Access Pointsmentioning

confidence: 99%

“…We will not provide specific results on its performance evaluation for such a 3DCCs‐based G2S link. For those who are interested, please refer to our previously published works . C. System architecture of multicarrier CC‐MIMO‐CDMA systemIn the text followed, let us consider a multicarrier CC‐MIMO‐CDMA system and take MAI and MPI into consideration to see if the MIMO system can resist the interferences.…”

Section: Air‐link Designs Between Gateways and Small‐cell Access Pointsmentioning

confidence: 99%

“…Consequently, a new type of CCs, that is, 3D complementary codes (3DCCs), integrates space‐time coding and CDMA to form a unified framework for MIMO system implementation . In , a method was proposed to construct 3DCCs, which enable chip‐level space‐time coding to integrate multiple antenna and multiple access techniques in a unified platform. A general architecture of 3DCC‐based MIMO systems will also be discussed in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Physical layer architectures for machine type communication networks—a survey

Huang

Chen

2016

Wireless Communications

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Machine-type communication (MTC) has attracted much attention due to the fact that it provides pervasive connections for billions of MTC devices, forming a basis for the Internet of things. Most works in the literatures on machine-to-machine (M2M) communications focused on media access layer (MAC) layer or other upper layer applications, such as e-health, energy management and entertainment services. On the other hand, physical (PHY) layer plays a pivotal role in M2M communications. To accommodate a large number of MTC devices, M2M should be made efficient enough in terms of its power consumption and spectrum utilisation.

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