{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:JCIUB35XLT3KDUTEPVSVSKJTS2","short_pith_number":"pith:JCIUB35X","schema_version":"1.0","canonical_sha256":"489140efb75cf6a1d2647d65592933968b8f4b47f55a80d315dd926d19b1b8d3","source":{"kind":"arxiv","id":"1304.0608","version":2},"attestation_state":"computed","paper":{"title":"Optimal Feedback Rate Sharing Strategy in Zero-Forcing MIMO Broadcast Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jung Hoon Lee, Wan Choi","submitted_at":"2013-04-02T12:12:56Z","abstract_excerpt":"In this paper, we consider a multiple-input multiple-output broadcast channel with limited feedback where all users share the feedback rates. Firstly, we find the optimal feedback rate sharing strategy using zero-forcing transmission scheme at the transmitter and random vector quantization at each user. We mathematically prove that equal sharing of sum feedback size among all users is the optimal strategy in the low signal-to-noise ratio (SNR) region, while allocating whole feedback size to a single user is the optimal strategy in the high SNR region. For the mid-SNR region, we propose a simpl"},"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":"1304.0608","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-02T12:12:56Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a0aa17c1a911826ad46e969ea5d74a038e0d8b19c57016bb67018f0e20d39e31","abstract_canon_sha256":"68f4e19320ab06fc1a3a5e391570ce8e4be992cdc4624949b389a1623ff22b5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:08.776268Z","signature_b64":"Ny7FtOyy3WCNswBafALX94oXRQ3Ju5mx3qSh9utAxerkp/nhOazXsttqZHtD2rJ0BbN9FSe6d1RKOTyG1xJyBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"489140efb75cf6a1d2647d65592933968b8f4b47f55a80d315dd926d19b1b8d3","last_reissued_at":"2026-05-18T03:12:08.775425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:08.775425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Feedback Rate Sharing Strategy in Zero-Forcing MIMO Broadcast Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jung Hoon Lee, Wan Choi","submitted_at":"2013-04-02T12:12:56Z","abstract_excerpt":"In this paper, we consider a multiple-input multiple-output broadcast channel with limited feedback where all users share the feedback rates. Firstly, we find the optimal feedback rate sharing strategy using zero-forcing transmission scheme at the transmitter and random vector quantization at each user. We mathematically prove that equal sharing of sum feedback size among all users is the optimal strategy in the low signal-to-noise ratio (SNR) region, while allocating whole feedback size to a single user is the optimal strategy in the high SNR region. For the mid-SNR region, we propose a simpl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0608","kind":"arxiv","version":2},"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":"1304.0608","created_at":"2026-05-18T03:12:08.775567+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.0608v2","created_at":"2026-05-18T03:12:08.775567+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0608","created_at":"2026-05-18T03:12:08.775567+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCIUB35XLT3K","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCIUB35XLT3KDUTE","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCIUB35X","created_at":"2026-05-18T12:27:49.015174+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/JCIUB35XLT3KDUTEPVSVSKJTS2","json":"https://pith.science/pith/JCIUB35XLT3KDUTEPVSVSKJTS2.json","graph_json":"https://pith.science/api/pith-number/JCIUB35XLT3KDUTEPVSVSKJTS2/graph.json","events_json":"https://pith.science/api/pith-number/JCIUB35XLT3KDUTEPVSVSKJTS2/events.json","paper":"https://pith.science/paper/JCIUB35X"},"agent_actions":{"view_html":"https://pith.science/pith/JCIUB35XLT3KDUTEPVSVSKJTS2","download_json":"https://pith.science/pith/JCIUB35XLT3KDUTEPVSVSKJTS2.json","view_paper":"https://pith.science/paper/JCIUB35X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.0608&json=true","fetch_graph":"https://pith.science/api/pith-number/JCIUB35XLT3KDUTEPVSVSKJTS2/graph.json","fetch_events":"https://pith.science/api/pith-number/JCIUB35XLT3KDUTEPVSVSKJTS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCIUB35XLT3KDUTEPVSVSKJTS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCIUB35XLT3KDUTEPVSVSKJTS2/action/storage_attestation","attest_author":"https://pith.science/pith/JCIUB35XLT3KDUTEPVSVSKJTS2/action/author_attestation","sign_citation":"https://pith.science/pith/JCIUB35XLT3KDUTEPVSVSKJTS2/action/citation_signature","submit_replication":"https://pith.science/pith/JCIUB35XLT3KDUTEPVSVSKJTS2/action/replication_record"}},"created_at":"2026-05-18T03:12:08.775567+00:00","updated_at":"2026-05-18T03:12:08.775567+00:00"}