{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:NA6WDJO42BQALTJK6XHMD5SAWR","short_pith_number":"pith:NA6WDJO4","schema_version":"1.0","canonical_sha256":"683d61a5dcd06005cd2af5cec1f640b442318bce76bc05253b3072f80e59d65b","source":{"kind":"arxiv","id":"1301.6398","version":1},"attestation_state":"computed","paper":{"title":"Variable-Length Channel Quantizers for Maximum Diversity and Array Gains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Erdem Koyuncu, Hamid Jafarkhani","submitted_at":"2013-01-27T20:42:28Z","abstract_excerpt":"We consider a $t \\times 1$ multiple-antenna fading channel with quantized channel state information at the transmitter (CSIT). Our goal is to maximize the diversity and array gains that are associated with the symbol error rate (SER) performance of the system. It is well-known that for both beamforming and precoding strategies, finite-rate fixed-length quantizers (FLQs) cannot achieve the full-CSIT diversity and array gains. In this work, for any function $f(P)\\in\\omega(1)$, we construct variable-length quantizers (VLQs) that can achieve these full-CSIT gains with rates $1+(f(P) \\log P)/P$ and"},"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":"1301.6398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-01-27T20:42:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9222aac58fc463556ff98611a43ee5a16a2f247def529d5ce39bd64b1f512409","abstract_canon_sha256":"7afc511bd468d317c045885a15474e0ccdf675b1b84d9cde19a649e7e64f0005"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:15.509368Z","signature_b64":"xCG9YNkE3sdvnbhaPjEO6O9bZxbw62WR97+eGXh5QOYqhjC14WGS14k4/faJRbRruN+emEem9jSdi+wzaMiuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"683d61a5dcd06005cd2af5cec1f640b442318bce76bc05253b3072f80e59d65b","last_reissued_at":"2026-05-18T03:35:15.508685Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:15.508685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variable-Length Channel Quantizers for Maximum Diversity and Array Gains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Erdem Koyuncu, Hamid Jafarkhani","submitted_at":"2013-01-27T20:42:28Z","abstract_excerpt":"We consider a $t \\times 1$ multiple-antenna fading channel with quantized channel state information at the transmitter (CSIT). Our goal is to maximize the diversity and array gains that are associated with the symbol error rate (SER) performance of the system. It is well-known that for both beamforming and precoding strategies, finite-rate fixed-length quantizers (FLQs) cannot achieve the full-CSIT diversity and array gains. In this work, for any function $f(P)\\in\\omega(1)$, we construct variable-length quantizers (VLQs) that can achieve these full-CSIT gains with rates $1+(f(P) \\log P)/P$ and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6398","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":"1301.6398","created_at":"2026-05-18T03:35:15.508792+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.6398v1","created_at":"2026-05-18T03:35:15.508792+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6398","created_at":"2026-05-18T03:35:15.508792+00:00"},{"alias_kind":"pith_short_12","alias_value":"NA6WDJO42BQA","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"NA6WDJO42BQALTJK","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"NA6WDJO4","created_at":"2026-05-18T12:27:52.871228+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/NA6WDJO42BQALTJK6XHMD5SAWR","json":"https://pith.science/pith/NA6WDJO42BQALTJK6XHMD5SAWR.json","graph_json":"https://pith.science/api/pith-number/NA6WDJO42BQALTJK6XHMD5SAWR/graph.json","events_json":"https://pith.science/api/pith-number/NA6WDJO42BQALTJK6XHMD5SAWR/events.json","paper":"https://pith.science/paper/NA6WDJO4"},"agent_actions":{"view_html":"https://pith.science/pith/NA6WDJO42BQALTJK6XHMD5SAWR","download_json":"https://pith.science/pith/NA6WDJO42BQALTJK6XHMD5SAWR.json","view_paper":"https://pith.science/paper/NA6WDJO4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.6398&json=true","fetch_graph":"https://pith.science/api/pith-number/NA6WDJO42BQALTJK6XHMD5SAWR/graph.json","fetch_events":"https://pith.science/api/pith-number/NA6WDJO42BQALTJK6XHMD5SAWR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NA6WDJO42BQALTJK6XHMD5SAWR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NA6WDJO42BQALTJK6XHMD5SAWR/action/storage_attestation","attest_author":"https://pith.science/pith/NA6WDJO42BQALTJK6XHMD5SAWR/action/author_attestation","sign_citation":"https://pith.science/pith/NA6WDJO42BQALTJK6XHMD5SAWR/action/citation_signature","submit_replication":"https://pith.science/pith/NA6WDJO42BQALTJK6XHMD5SAWR/action/replication_record"}},"created_at":"2026-05-18T03:35:15.508792+00:00","updated_at":"2026-05-18T03:35:15.508792+00:00"}