On Complex Enumeration for Multiuser MIMO Vector Precoding

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1. The document describes techniques for implementing complex enumeration for multi-user MIMO vector precoding, including the Schnorr-Euchner enumeration algorithm, circular set enumeration, and neighbour expansion methods. 2. A "puzzle enumerator" technique is proposed that divides the complex plane into regions and locally enumerates nodes within each region to identify the most favorable nodes, without requiring distance computations. 3. The puzzle enumerator, circular set enumeration, and neighbour expansion techniques were implemented on an FPGA. The puzzle enumerator achieved the lowest latency and area occupation compared to other techniques since it does not require distance computations or sorting.

Technology

IMPLEMENTATION OF COMPLEX ENUMERATION FOR MULTIUSER MIMO VECTOR PRECODING Signal Theory and Communications Area Department of Electronics and Computer Science, University of Mondragon Maitane Barrenechea , Mikel Mendicute, Idoia Jiménez and Egoitz Arruti

Outline ,[object Object],[object Object],[object Object],[object Object],[object Object]

Introduction Vector Precoding ,[object Object]

Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Tree search techniques

Introduction Tree search techniques: The sphere encoder ,[object Object],[object Object]

Introduction Tree search techniques: The K-Best ,[object Object],[object Object],[object Object],[object Object]

Introduction Tree search techniques: The fixed sphere encoder (FSE) ,[object Object],[object Object],[object Object],[object Object]

Complex Enumeration Schnorr-Euchner Enumeration ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Complex Enumeration Schnorr-Euchner (S-E) Enumeration ,[object Object],[object Object],[object Object],[object Object],[object Object]

Complex Enumeration Methods for Complex Enumeration ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[Hochwald2003] Hochwald, B. and ten Brink, S. , “Achieving near-capacity on a multiple antenna channels,” IEEE Transactions on Communications, vol. 51, pp. 389–399, 2003.

The Puzzle Enumerator Step 1: Setting the size of the complex grid A.- Define from the distribution of B.- Compute the minimum cardinality of the set R z

The Puzzle Enumerator Step 2: Local Enumeration Step 3: Compute Boundary Lines Enumeration index  Values Locally Enumerated 2-3 2 4-7 3 8-11 4

The Puzzle Enumerator Step 4: Identify the corresponding region  =2  =3  =4  =5  =6  =7  =8

The Unordered Puzzle Enumerator ,[object Object],[object Object],[object Object],[object Object],Set of most preferable nodes

Implementation of Complex Enumeration ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Fair comparison 8 MCUs added to the puzzle enumerator design

Implementation of Complex Enumeration Architectures Full Sort Circular Subsets & Neighbour expansion

Implementation of Complex Enumeration Architectures Puzzle Enumerator

Implementation Results Latency ,[object Object]

Implementation Results Device Occupation No distance computations required

Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Thanks for your attention Maitane Barrenechea [email_address]

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On Complex Enumeration for Multiuser MIMO Vector Precoding

1. IMPLEMENTATION OF COMPLEX ENUMERATION FOR MULTIUSER MIMO VECTOR PRECODING Signal Theory and Communications Area Department of Electronics and Computer Science, University of Mondragon Maitane Barrenechea , Mikel Mendicute, Idoia Jiménez and Egoitz Arruti

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14. The Puzzle Enumerator Step 1: Setting the size of the complex grid A.- Define from the distribution of B.- Compute the minimum cardinality of the set R z

15. The Puzzle Enumerator Step 2: Local Enumeration Step 3: Compute Boundary Lines Enumeration index  Values Locally Enumerated 2-3 2 4-7 3 8-11 4

16. The Puzzle Enumerator Step 4: Identify the corresponding region  =2  =3  =4  =5  =6  =7  =8

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20. Implementation of Complex Enumeration Architectures Full Sort Circular Subsets & Neighbour expansion

21. Implementation of Complex Enumeration Architectures Puzzle Enumerator

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23. Implementation Results Device Occupation No distance computations required

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26. Thanks for your attention Maitane Barrenechea [email_address]

On Complex Enumeration for Multiuser MIMO Vector Precoding

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