Precoder Design for Physical Layer Multicasting
This paper studies the instantaneous rate maximization and the weighted sum delay minimization problems over a K-user multicast channel, where multiple antennas are available at the transmitter as well as at all the receivers. Motivated by the degree of freedom optimality and the simplicity offered...
Saved in:
| Published in: | arXiv.org |
|---|---|
| Main Authors: | , , |
| Format: | Paper |
| Language: | English |
| Published: |
Ithaca
Cornell University Library, arXiv.org
05.04.2012
|
| Subjects: | |
| ISSN: | 2331-8422 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This paper studies the instantaneous rate maximization and the weighted sum delay minimization problems over a K-user multicast channel, where multiple antennas are available at the transmitter as well as at all the receivers. Motivated by the degree of freedom optimality and the simplicity offered by linear precoding schemes, we consider the design of linear precoders using the aforementioned two criteria. We first consider the scenario wherein the linear precoder can be any complex-valued matrix subject to rank and power constraints. We propose cyclic alternating ascent based precoder design algorithms and establish their convergence to respective stationary points. Simulation results reveal that our proposed algorithms considerably outperform known competing solutions. We then consider a scenario in which the linear precoder can be formed by selecting and concatenating precoders from a given finite codebook of precoding matrices, subject to rank and power constraints. We show that under this scenario, the instantaneous rate maximization problem is equivalent to a robust submodular maximization problem which is strongly NP hard. We propose a deterministic approximation algorithm and show that it yields a bicriteria approximation. For the weighted sum delay minimization problem we propose a simple deterministic greedy algorithm, which at each step entails approximately maximizing a submodular set function subject to multiple knapsack constraints, and establish its performance guarantee. |
|---|---|
| AbstractList | This paper studies the instantaneous rate maximization and the weighted sum delay minimization problems over a K-user multicast channel, where multiple antennas are available at the transmitter as well as at all the receivers. Motivated by the degree of freedom optimality and the simplicity offered by linear precoding schemes, we consider the design of linear precoders using the aforementioned two criteria. We first consider the scenario wherein the linear precoder can be any complex-valued matrix subject to rank and power constraints. We propose cyclic alternating ascent based precoder design algorithms and establish their convergence to respective stationary points. Simulation results reveal that our proposed algorithms considerably outperform known competing solutions. We then consider a scenario in which the linear precoder can be formed by selecting and concatenating precoders from a given finite codebook of precoding matrices, subject to rank and power constraints. We show that under this scenario, the instantaneous rate maximization problem is equivalent to a robust submodular maximization problem which is strongly NP hard. We propose a deterministic approximation algorithm and show that it yields a bicriteria approximation. For the weighted sum delay minimization problem we propose a simple deterministic greedy algorithm, which at each step entails approximately maximizing a submodular set function subject to multiple knapsack constraints, and establish its performance guarantee. |
| Author | Rangarajan, Sampath Prasad, Narayan Zhu, Hao |
| Author_xml | – sequence: 1 givenname: Hao surname: Zhu fullname: Zhu, Hao – sequence: 2 givenname: Narayan surname: Prasad fullname: Prasad, Narayan – sequence: 3 givenname: Sampath surname: Rangarajan fullname: Rangarajan, Sampath |
| BookMark | eNotjUFLwzAYhoMoOOfuHgue2335kjRfjjJ1ChV32H2kSTo7SqtJK-7fW9DTy8MDz3vDLvuhD4zdcSgkKQVrG3_a74JzMEWJpblgCxSC5yQRr9kqpRMAYKlRKbFg610MbvAhZo8htcc-a4aY7T7OqXW2yyp7ns3b1I0zprHtj7fsqrFdCqv_XbL989N-85JX79vXzUOVW8VV7m2NYITTTmgi7aFpDHALnppARjpbc0POkgCkgB5qV6pAWpJF7aQEsWT3f9nPOHxNIY2H0zDFfn48IBCiUFgq8Qsx4kW6 |
| ContentType | Paper |
| Copyright | 2012. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2012. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS |
| DOI | 10.48550/arxiv.1109.6269 |
| DatabaseName | ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea SciTech Premium Collection ProQuest Engineering Collection Engineering Database ProQuest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection |
| DatabaseTitle | Publicly Available Content Database Engineering Database Technology Collection ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest Central (New) ProQuest One Academic ProQuest One Academic (New) Engineering Collection |
| DatabaseTitleList | Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 2331-8422 |
| Genre | Working Paper/Pre-Print |
| GroupedDBID | 8FE 8FG ABJCF ABUWG AFKRA ALMA_UNASSIGNED_HOLDINGS AZQEC BENPR BGLVJ CCPQU DWQXO FRJ HCIFZ L6V M7S M~E PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS |
| ID | FETCH-LOGICAL-a515-dab2093c7c37887d0ff901a0d8fe894cab198ca83028e2d0bc65e8748a27c4403 |
| IEDL.DBID | M7S |
| IngestDate | Mon Jun 30 09:49:26 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a515-dab2093c7c37887d0ff901a0d8fe894cab198ca83028e2d0bc65e8748a27c4403 |
| Notes | SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50 |
| OpenAccessLink | https://www.proquest.com/docview/2082235265?pq-origsite=%requestingapplication% |
| PQID | 2082235265 |
| PQPubID | 2050157 |
| ParticipantIDs | proquest_journals_2082235265 |
| PublicationCentury | 2000 |
| PublicationDate | 20120405 |
| PublicationDateYYYYMMDD | 2012-04-05 |
| PublicationDate_xml | – month: 04 year: 2012 text: 20120405 day: 05 |
| PublicationDecade | 2010 |
| PublicationPlace | Ithaca |
| PublicationPlace_xml | – name: Ithaca |
| PublicationTitle | arXiv.org |
| PublicationYear | 2012 |
| Publisher | Cornell University Library, arXiv.org |
| Publisher_xml | – name: Cornell University Library, arXiv.org |
| SSID | ssj0002672553 |
| Score | 1.4811916 |
| SecondaryResourceType | preprint |
| Snippet | This paper studies the instantaneous rate maximization and the weighted sum delay minimization problems over a K-user multicast channel, where multiple... |
| SourceID | proquest |
| SourceType | Aggregation Database |
| SubjectTerms | Algorithms Approximation Ascent Computer simulation Delay Greedy algorithms Mathematical analysis Matrix methods Maximization Multicasting Optimization Production scheduling |
| Title | Precoder Design for Physical Layer Multicasting |
| URI | https://www.proquest.com/docview/2082235265 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwED5BCxITb_EoVQZWUydxYmdCAlqBBJUFHcpUnR-RurQlKRU_H9ukMCCxMFpefDrr7rvz5-8ALlPNlKaZJTpVSBinJVHacoJpzNAlNJ7kKgyb4MOhGI8L2TTc6oZWuY6JIVCbufY9cleku1QWxNyvF2_ET43yr6vNCI1NaHuVhDhQ916-eyxJzh1iTr9eJ4N0Vw-rj-kqyGxeOShf_IrAIa0Mdv97oD1oS1zYah827OwAtgOdU9eH0JO-0DW2iu4CQyNy0DSSjUuiR3Q4OwpfbzXWnvd8BKNBf3R7T5rRCAQdACEGVUKLVHPt5eC5oWXp8jpSI0orCqZRxYXQ6LW9hE0MVTrPrOBMYMI1YzQ9htZsPrMnEBnDM45M5KVwlSEvXbnBqc0sxkoUHMtT6KzNnzTXu5782H729_Y57DiEkQSqS9aB1rJ6txewpVfLaV11oX3TH8rnbvCaW8mHJ_n6CXnDocQ |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V09T8MwED2VFgQT3-KjQAYYQ1PHiZ0BMVCqVi1VJDp0i2zHkbq0JSkFfhT_kbPbwIDE1oE5UpTY53v37Od3ANe-olJ5gXaVL4VLmZe5UmnmCr9JBQIaI6G0zSbYYMBHoyiuwGd5F8bIKsucaBN1OlVmjxxJOkKZNXO_n724pmuUOV0tW2gsw6KnP96QshV33RbO7w0h7cfhQ8dddRVwBWK3mwpJkMUrpoyTOku9LENIFF7KM80jqoREGq6EscXimqSeVGGgOaNcEKYo9Xx87QbUsIogkVUKPn9v6ZCQYYHuLw9DrVNYQ-Tv44V19bxF5hD9SvgWxdq7_-z_96AWi5nO96GiJwewZcWqqjiERmxofKpzp2X1Jw4W3k68CjinL5BFOPZisRKFUXUfwXAdn3gM1cl0ok_ASVMWMEF5mHHkvSxDMsU8HWjRlDxiIjuFejnayWrxFsnPUJ_9_fgKtjvDp37S7w5657CDtRSxop6gDtV5_qovYFMt5uMiv7SB4kCy5on5Au2l-cU |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Precoder+Design+for+Physical+Layer+Multicasting&rft.jtitle=arXiv.org&rft.au=Zhu%2C+Hao&rft.au=Prasad%2C+Narayan&rft.au=Rangarajan%2C+Sampath&rft.date=2012-04-05&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422&rft_id=info:doi/10.48550%2Farxiv.1109.6269 |