NDLI: Designing interference alignment algorithms by algebraic geometry analysis

Content Provider	IEEE Xplore Digital Library
Author	Liangzhong Ruan Win, M.Z. Lau, V.K.N.
Copyright Year	2013
Description	Author affiliation: Lab. for Inf. & Decision Syst. (LIDS), Massachusetts Inst. of Technol., Cambridge, MA, USA (Liangzhong Ruan; Win, M.Z.) \|\| Dept. of Electron. & Comput. Eng., Hong Kong Univ. of Sci. & Technol., Hong Kong, China (Lau, V.K.N.)
Abstract	Recent results have shown that interference alignment (IA) achieves the optimal throughput scaling law w.r.t. SNR. However, except for a few special cases, finding transceivers to achieve IA in MIMO interference networks is still an open problem. This problem is challenging due to the non-convex nature of the interference optimization problem. Inspired by recent success in using tools from algebraic geometry to analyze the feasibility conditions of IA, in this work, we adopt algebraic geometry analysis to guide IA algorithm design. Specifically, we first explore the relation between algebraic independence and feasibility of polynomial equation sets, and transform the IA problem into an equivalent polynomial form, whose policy space is convex. Then we reformulate the transformed IA problem into an interference optimization problem. By exploiting the connection between algebraic independence and full rankness of Jacobian matrix, we prove that in the interference optimization problem, there is no performance gap between local and global optimums when IA is feasible. This property enables us to easily design IA algorithms by adopting existing local search algorithms. Combining the propositions obtained in this work and those obtained in the authors' prior work on IA feasibility, we have established a unified algebraic framework for both IA feasibility analysis and algorithm design.
Sponsorship	IEEE Commun. Soc.
Starting Page	1796
Ending Page	1801
File Size	2713806
Page Count	6
File Format	PDF
ISBN	9781479913534
DOI	10.1109/GLOCOM.2013.6831334
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Interference Algorithm design and analysis Polynomials Optimization MIMO Geometry
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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