Journal article
Optimal Precoder Design for Distributed Transmit Beamforming Over Frequency-Selective Channels
IEEE transactions on wireless communications, Vol.17(11), pp.7759-7773
11/2018
DOI: 10.1109/TWC.2018.2870649
Abstract
We consider the problem of optimal precoder design for a multi-input single-output wideband wireless system to maximize two different figures of merit: the total communication capacity and the total received power, subject to individual power constraints on each transmit element. We show that the two optimal precoders satisfy a separation principle that reveals a simple structure for these precoders. We use this separation principle extensively to derive several interesting properties of these two optimal precoders. Some key analytical results are as follows. We show that the power-maximizing precoders must concentrate all their energy in a small number of active channels that cannot exceed the number of input terminals. The capacity-maximizing precoder turns out to be very different from the classical water filling solutions and also very different from the power-maximizing precoders except at asymptotically low SNRs where the power-maximizing precoders also maximize capacity. We also show that the capacity of the wideband system is lower bounded by the sum rate of a multiple-access channel with the same channel gains and power constraints. Finally, the separation principle also yields simple fixed-point algorithms that allow for the efficient numerical computation of the two optimal precoders.
Details
- Title: Subtitle
- Optimal Precoder Design for Distributed Transmit Beamforming Over Frequency-Selective Channels
- Creators
- Sairam Goguri - QualcommDennis Ogbe - Purdue University West LafayetteSoura Dasgupta - University of IowaRaghuraman Mudumbai - University of IowaD. Richard Brown - Worcester Polytechnic InstituteDavid J Love - Purdue University West LafayetteUpamanyu Madhow - University of California, Santa Barbara
- Resource Type
- Journal article
- Publication Details
- IEEE transactions on wireless communications, Vol.17(11), pp.7759-7773
- DOI
- 10.1109/TWC.2018.2870649
- ISSN
- 1536-1276
- eISSN
- 1558-2248
- Publisher
- IEEE
- Grant note
- Shandong Academy of Sciences (10.13039/501100008118) N00014-13-1-0202 / Office of Naval Research (10.13039/100000006) EPS-1101284; ECCS-1150801; CNS-1329657; CCF-1302456; CCF-1302104; CCF-1319458 / National Science Foundation (10.13039/100000001)
- Language
- English
- Date published
- 11/2018
- Academic Unit
- Electrical and Computer Engineering
- Record Identifier
- 9984197268002771
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