{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YU556JEPF57SQ6JKBL2WR4CJ56","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"67743b400fe2e1f91b3f3792e618ba6539e9c963143b525d1944caa6aefe90fc","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-19T19:43:02Z","title_canon_sha256":"9899b8f4479532a0a04fb0b5a5e8cfe21ff22b997db21aec25a3d11fccc3c9fb"},"schema_version":"1.0","source":{"id":"1302.4717","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4717","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4717v1","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4717","created_at":"2026-05-18T03:33:12Z"},{"alias_kind":"pith_short_12","alias_value":"YU556JEPF57S","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YU556JEPF57SQ6JK","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YU556JEP","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:0c64e14c0f6e6fe4735744400d31746ec3a9b0fe3f713bb0975a745770dc0466","target":"graph","created_at":"2026-05-18T03:33:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we provide three contributions to the field of channel sounding waveform design in asynchronous Multi-user (MU) MIMO systems. The first contribution is a derivation of the asynchronous MU-MIMO model and the conditions that the sounding waveform must meet to independently resolve all of the spatial channel responses. Next we propose a chirp waveform that meets the constraints and we show that the MSE of our system meets the Cramer-Rao Bound (CRB) when the time offset is an integer multiple of the sampling interval. Finally we demonstrate that the channel capacity region of the asy","authors_text":"Brett T. Walkenhorst, G. Tong Zhou, Robert J. Baxley, Zhenhua Yu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-19T19:43:02Z","title":"Channel Sounding Waveforms Design for Asynchronous Multiuser MIMO Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4717","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:98d3be9344db7690f331e88df268009434e4e600fa791fc5f7a4a7ec86ce036d","target":"record","created_at":"2026-05-18T03:33:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"67743b400fe2e1f91b3f3792e618ba6539e9c963143b525d1944caa6aefe90fc","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-19T19:43:02Z","title_canon_sha256":"9899b8f4479532a0a04fb0b5a5e8cfe21ff22b997db21aec25a3d11fccc3c9fb"},"schema_version":"1.0","source":{"id":"1302.4717","kind":"arxiv","version":1}},"canonical_sha256":"c53bdf248f2f7f28792a0af568f049efb8ac0daa2ed7c9738718fd234b024bd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c53bdf248f2f7f28792a0af568f049efb8ac0daa2ed7c9738718fd234b024bd9","first_computed_at":"2026-05-18T03:33:12.398863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:12.398863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PLVlUkomzSTe2fFWlhp9wkhD9DQfJwuLWJzNZrWK1f9P+c9jWZxfrdWnaCx4pxwM18IjOhxJh5k6DWB8FfvjCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:12.399639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4717","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98d3be9344db7690f331e88df268009434e4e600fa791fc5f7a4a7ec86ce036d","sha256:0c64e14c0f6e6fe4735744400d31746ec3a9b0fe3f713bb0975a745770dc0466"],"state_sha256":"66dd086c77a6ada7d128464c42ef64aa678fb5dc91c7548704ef2584e8b638e0"}