{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YETWJURKQNYKCGI5CCFHRN2RRF","short_pith_number":"pith:YETWJURK","schema_version":"1.0","canonical_sha256":"c12764d22a8370a1191d108a78b75189741d6a7a422fc82e9fc047b6c4b8392c","source":{"kind":"arxiv","id":"1409.6059","version":1},"attestation_state":"computed","paper":{"title":"Joint Optimization of Power Allocation and Training Duration for Uplink Multiuser MIMO Communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Songtao Lu, Zhengdao Wang","submitted_at":"2014-09-22T00:49:27Z","abstract_excerpt":"In this paper, we consider a multiuser multiple-input multiple-output (MU-MIMO) communication system between a base station equipped with multiple antennas and multiple mobile users each equipped with a single antenna. The uplink scenario is considered. The uplink channels are acquired by the base station through a training phase. Two linear processing schemes are considered, namely maximum-ratio combining (MRC) and zero-forcing (ZF). We optimize the training period and optimal training energy under the average and peak power constraint so that an achievable sum rate is maximized."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.6059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-22T00:49:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"47a9f3d3bee88d43e1b4c8c3bbb9bf2fe05b41e061c7f897d88151046c8d0d91","abstract_canon_sha256":"43f042cfd26fd3dd373b4224785687f27bb5a73df3eba9525ce02bb739af7c3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:13.846677Z","signature_b64":"LiBK/upgbwZ8JP8dYu192So1D15Kzvq7O2BfGc3eMuqQX6wShEr85vm6F2T2OuIPgO2NfOnJuRD2oFVsbempDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c12764d22a8370a1191d108a78b75189741d6a7a422fc82e9fc047b6c4b8392c","last_reissued_at":"2026-05-18T02:42:13.846296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:13.846296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Joint Optimization of Power Allocation and Training Duration for Uplink Multiuser MIMO Communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Songtao Lu, Zhengdao Wang","submitted_at":"2014-09-22T00:49:27Z","abstract_excerpt":"In this paper, we consider a multiuser multiple-input multiple-output (MU-MIMO) communication system between a base station equipped with multiple antennas and multiple mobile users each equipped with a single antenna. The uplink scenario is considered. The uplink channels are acquired by the base station through a training phase. Two linear processing schemes are considered, namely maximum-ratio combining (MRC) and zero-forcing (ZF). We optimize the training period and optimal training energy under the average and peak power constraint so that an achievable sum rate is maximized."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6059","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.6059","created_at":"2026-05-18T02:42:13.846364+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.6059v1","created_at":"2026-05-18T02:42:13.846364+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6059","created_at":"2026-05-18T02:42:13.846364+00:00"},{"alias_kind":"pith_short_12","alias_value":"YETWJURKQNYK","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"YETWJURKQNYKCGI5","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"YETWJURK","created_at":"2026-05-18T12:28:57.508820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF","json":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF.json","graph_json":"https://pith.science/api/pith-number/YETWJURKQNYKCGI5CCFHRN2RRF/graph.json","events_json":"https://pith.science/api/pith-number/YETWJURKQNYKCGI5CCFHRN2RRF/events.json","paper":"https://pith.science/paper/YETWJURK"},"agent_actions":{"view_html":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF","download_json":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF.json","view_paper":"https://pith.science/paper/YETWJURK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.6059&json=true","fetch_graph":"https://pith.science/api/pith-number/YETWJURKQNYKCGI5CCFHRN2RRF/graph.json","fetch_events":"https://pith.science/api/pith-number/YETWJURKQNYKCGI5CCFHRN2RRF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF/action/storage_attestation","attest_author":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF/action/author_attestation","sign_citation":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF/action/citation_signature","submit_replication":"https://pith.science/pith/YETWJURKQNYKCGI5CCFHRN2RRF/action/replication_record"}},"created_at":"2026-05-18T02:42:13.846364+00:00","updated_at":"2026-05-18T02:42:13.846364+00:00"}