{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:UKFM24RFTS7DYB2PFPEJWVXWJ2","short_pith_number":"pith:UKFM24RF","schema_version":"1.0","canonical_sha256":"a28acd72259cbe3c074f2bc89b56f64e8e28ee2a11f5a70ad222f8cb62c83d47","source":{"kind":"arxiv","id":"1404.0864","version":1},"attestation_state":"computed","paper":{"title":"Generalized Signal Alignment For Arbitrary MIMO Two-Way Relay Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dingcheng Yang, Kangqi Liu, Meixia Tao","submitted_at":"2014-04-03T11:28:51Z","abstract_excerpt":"In this paper, we consider the arbitrary MIMO two-way relay channels, where there are $K$ source nodes, each equipped with $M_i$ antennas, for $i=1,2,\\cdots,K$, and one relay node, equipped with $N$ antennas. Each source node can exchange independent messages with arbitrary other source nodes assisted by the relay. We extend our newly-proposed transmission scheme, generalized signal alignment (GSA) in [1], to arbitrary MIMO two-way relay channels when $N>M_i+M_j$, $\\forall i \\neq j$. The key idea of GSA is to cancel the interference for each data pair in its specific subspace by two steps. Thi"},"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":"1404.0864","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-03T11:28:51Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"d1abd59ae8f70588b26e1aa8a80215bf8b20e8ba4b3ebeb7d624ef7c784e2d01","abstract_canon_sha256":"de780afd23a671ad3bef2685252d64670f85851ab82b36c238a248970bc6209c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:11.929405Z","signature_b64":"bo4UnEey0/wz9z3Q1YIgSPbgXnMgA/ZVmXrSHq563gZhxPla1CW9rIaTe5GVKWne9mj1qEXrVKaFMcrXZeKvDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a28acd72259cbe3c074f2bc89b56f64e8e28ee2a11f5a70ad222f8cb62c83d47","last_reissued_at":"2026-05-18T00:58:11.928721Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:11.928721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Signal Alignment For Arbitrary MIMO Two-Way Relay Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dingcheng Yang, Kangqi Liu, Meixia Tao","submitted_at":"2014-04-03T11:28:51Z","abstract_excerpt":"In this paper, we consider the arbitrary MIMO two-way relay channels, where there are $K$ source nodes, each equipped with $M_i$ antennas, for $i=1,2,\\cdots,K$, and one relay node, equipped with $N$ antennas. Each source node can exchange independent messages with arbitrary other source nodes assisted by the relay. We extend our newly-proposed transmission scheme, generalized signal alignment (GSA) in [1], to arbitrary MIMO two-way relay channels when $N>M_i+M_j$, $\\forall i \\neq j$. The key idea of GSA is to cancel the interference for each data pair in its specific subspace by two steps. Thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0864","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":"1404.0864","created_at":"2026-05-18T00:58:11.928835+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.0864v1","created_at":"2026-05-18T00:58:11.928835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0864","created_at":"2026-05-18T00:58:11.928835+00:00"},{"alias_kind":"pith_short_12","alias_value":"UKFM24RFTS7D","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"UKFM24RFTS7DYB2P","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"UKFM24RF","created_at":"2026-05-18T12:28:52.271510+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/UKFM24RFTS7DYB2PFPEJWVXWJ2","json":"https://pith.science/pith/UKFM24RFTS7DYB2PFPEJWVXWJ2.json","graph_json":"https://pith.science/api/pith-number/UKFM24RFTS7DYB2PFPEJWVXWJ2/graph.json","events_json":"https://pith.science/api/pith-number/UKFM24RFTS7DYB2PFPEJWVXWJ2/events.json","paper":"https://pith.science/paper/UKFM24RF"},"agent_actions":{"view_html":"https://pith.science/pith/UKFM24RFTS7DYB2PFPEJWVXWJ2","download_json":"https://pith.science/pith/UKFM24RFTS7DYB2PFPEJWVXWJ2.json","view_paper":"https://pith.science/paper/UKFM24RF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.0864&json=true","fetch_graph":"https://pith.science/api/pith-number/UKFM24RFTS7DYB2PFPEJWVXWJ2/graph.json","fetch_events":"https://pith.science/api/pith-number/UKFM24RFTS7DYB2PFPEJWVXWJ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UKFM24RFTS7DYB2PFPEJWVXWJ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UKFM24RFTS7DYB2PFPEJWVXWJ2/action/storage_attestation","attest_author":"https://pith.science/pith/UKFM24RFTS7DYB2PFPEJWVXWJ2/action/author_attestation","sign_citation":"https://pith.science/pith/UKFM24RFTS7DYB2PFPEJWVXWJ2/action/citation_signature","submit_replication":"https://pith.science/pith/UKFM24RFTS7DYB2PFPEJWVXWJ2/action/replication_record"}},"created_at":"2026-05-18T00:58:11.928835+00:00","updated_at":"2026-05-18T00:58:11.928835+00:00"}