{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:F4FZ6CPWXEN3LNVMJ6TW6TA5T7","short_pith_number":"pith:F4FZ6CPW","schema_version":"1.0","canonical_sha256":"2f0b9f09f6b91bb5b6ac4fa76f4c1d9ff1de9f41f3ea9167b47726469a9cd6a8","source":{"kind":"arxiv","id":"2409.13283","version":1},"attestation_state":"computed","paper":{"title":"MIMO Precoding Exploiting Extra Degrees of Freedom (DoF) in the Wavenumber Domain","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"eess.SP","authors_text":"Chau Yuen, Qingqing Wu, Tianqi Mao, Xufeng Guo, Yuanbin Chen, Zhaocheng Wang","submitted_at":"2024-09-20T07:25:42Z","abstract_excerpt":"In this paper, we propose an emerging wavenumber-domain precoding scheme to break the limitations of rank-1 channels that merely supports single-stream transmission, enabling simultaneous transmission of multiple data streams. The proposed wavenumber-domain precoding scheme also breaks the Rayleigh distance demarcation, regardless of the far-field and near-field contexts. Specifically, by characterizing the channel response as the superposition of a series of Fourier harmonics specified by different wavenumbers, the degree of freedom (DoF) is dependent on the cardinality of the wavenumber supp"},"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":"2409.13283","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SP","submitted_at":"2024-09-20T07:25:42Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"00acb969dddd01a30c17a281e44f23cd7e78f48fbee3c389fdc5347b0c534709","abstract_canon_sha256":"591359e8ba2922b044913dc318baebcfdcf90521628039c9366790cf7a30301e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:09:32.385892Z","signature_b64":"ZwCV+NKQ0oQ6lSQYg67DzwlWxIdqSDJY602qw/movPTF5zyYaisLoA9Y+i4jIlQYyFNPd/znoD2qrtS1bQM5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f0b9f09f6b91bb5b6ac4fa76f4c1d9ff1de9f41f3ea9167b47726469a9cd6a8","last_reissued_at":"2026-07-05T09:09:32.385432Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:09:32.385432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"MIMO Precoding Exploiting Extra Degrees of Freedom (DoF) in the Wavenumber Domain","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"eess.SP","authors_text":"Chau Yuen, Qingqing Wu, Tianqi Mao, Xufeng Guo, Yuanbin Chen, Zhaocheng Wang","submitted_at":"2024-09-20T07:25:42Z","abstract_excerpt":"In this paper, we propose an emerging wavenumber-domain precoding scheme to break the limitations of rank-1 channels that merely supports single-stream transmission, enabling simultaneous transmission of multiple data streams. The proposed wavenumber-domain precoding scheme also breaks the Rayleigh distance demarcation, regardless of the far-field and near-field contexts. Specifically, by characterizing the channel response as the superposition of a series of Fourier harmonics specified by different wavenumbers, the degree of freedom (DoF) is dependent on the cardinality of the wavenumber supp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.13283","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.13283/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2409.13283","created_at":"2026-07-05T09:09:32.385491+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.13283v1","created_at":"2026-07-05T09:09:32.385491+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.13283","created_at":"2026-07-05T09:09:32.385491+00:00"},{"alias_kind":"pith_short_12","alias_value":"F4FZ6CPWXEN3","created_at":"2026-07-05T09:09:32.385491+00:00"},{"alias_kind":"pith_short_16","alias_value":"F4FZ6CPWXEN3LNVM","created_at":"2026-07-05T09:09:32.385491+00:00"},{"alias_kind":"pith_short_8","alias_value":"F4FZ6CPW","created_at":"2026-07-05T09:09:32.385491+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.02730","citing_title":"New Paradigm for Unified Near-Field and Far-Field Wireless Communications","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7","json":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7.json","graph_json":"https://pith.science/api/pith-number/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/graph.json","events_json":"https://pith.science/api/pith-number/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/events.json","paper":"https://pith.science/paper/F4FZ6CPW"},"agent_actions":{"view_html":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7","download_json":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7.json","view_paper":"https://pith.science/paper/F4FZ6CPW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.13283&json=true","fetch_graph":"https://pith.science/api/pith-number/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/graph.json","fetch_events":"https://pith.science/api/pith-number/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/action/storage_attestation","attest_author":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/action/author_attestation","sign_citation":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/action/citation_signature","submit_replication":"https://pith.science/pith/F4FZ6CPWXEN3LNVMJ6TW6TA5T7/action/replication_record"}},"created_at":"2026-07-05T09:09:32.385491+00:00","updated_at":"2026-07-05T09:09:32.385491+00:00"}