NDLI: A Dual Perspective on Separable Semidefinite Programming With Applications to Optimal Downlink Beamforming

Content Provider	IEEE Xplore Digital Library
Author	Yongwei Huang Palomar, D.P.
Copyright Year	1991
Abstract	This paper considers the downlink beamforming optimization problem that minimizes the total transmission power subject to global shaping constraints and individual shaping constraints, in addition to the constraints of quality of service (QoS) measured by signal-to-interference-plus-noise ratio (SINR). This beamforming problem is a separable homogeneous quadratically constrained quadratic program (QCQP), which is difficult to solve in general. Herein we propose efficient algorithms for the problem consisting of two main steps: 1) solving the semidefinite programming (SDP) relaxed problem, and 2) formulating a linear program (LP) and solving the LP (with closed-form solution) to find a rank-one optimal solution of the SDP relaxation. Accordingly, the corresponding optimal beamforming problem (OBP) is proven to be “hidden” convex, namely, strong duality holds true under certain mild conditions. In contrast to the existing algorithms based on either the rank reduction steps (the purification process) or the Perron-Frobenius theorem, the proposed algorithms are based on the linear program strong duality theorem.
Sponsorship	IEEE Signal Processing Society
Starting Page	4254
Ending Page	4271
Page Count	18
File Size	665036
File Format	PDF
ISSN	1053587X
Volume Number	58
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Downlink Array signal processing Interference constraints Quality of service Signal to noise ratio Constraint optimization Signal processing algorithms Base stations Power measurement Linear programming SDP relaxation Downlink beamforming LP approach rank-constrained solution
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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

A dual perspective on separable semidefinite programming with applications to optimal beamforming

Rank-constrained separable semidefinite programming for optimal beamforming design

Rank-Constrained Separable Semidefinite Programming With Applications to Optimal Beamforming

Rank-constrained separable semidefi- nite programming with applications to optimal beamforming.

A dual perspective on separable semidefinite programming with applications to optimal downlink beamforming.

On downlink beamforming with indefinite shaping constraints

Transmit beamforming for multiuser downlink with per-antenna power constraints

Robust SINR-constrained MISO downlink beamforming: When is semidefinite programming relaxation tight?

General Rank Multiuser Downlink Beamforming With Shaping Constraints Using Real-Valued OSTBC

A Dual Perspective on Separable Semidefinite Programming With Applications to Optimal Downlink Beamforming

Similar Documents

A dual perspective on separable semidefinite programming with applications to optimal beamforming

Rank-constrained separable semidefinite programming for optimal beamforming design

Rank-Constrained Separable Semidefinite Programming With Applications to Optimal Beamforming

Rank-constrained separable semidefi- nite programming with applications to optimal beamforming.

A dual perspective on separable semidefinite programming with applications to optimal downlink beamforming.

On downlink beamforming with indefinite shaping constraints

Transmit beamforming for multiuser downlink with per-antenna power constraints

Robust SINR-constrained MISO downlink beamforming: When is semidefinite programming relaxation tight?

General Rank Multiuser Downlink Beamforming With Shaping Constraints Using Real-Valued OSTBC

A Dual Perspective on Separable Semidefinite Programming With Applications to Optimal Downlink Beamforming