{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:C5NVTJLGXTT54TYSRUSVOYPVFC","short_pith_number":"pith:C5NVTJLG","schema_version":"1.0","canonical_sha256":"175b59a566bce7de4f128d255761f528819e9dfe8431be9463b3ba8fd79a15b3","source":{"kind":"arxiv","id":"1506.08623","version":1},"attestation_state":"computed","paper":{"title":"Second-Order Statistics of $\\kappa-\\mu$ Shadowed Fading Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Simon L. Cotton","submitted_at":"2015-06-29T13:46:32Z","abstract_excerpt":"In this paper, novel closed-form expressions for the level crossing rate (LCR) and average fade duration (AFD) of $\\kappa-\\mu$ shadowed fading channels are derived. The new equations provide the capability of modeling the correlation between the time derivative of the shadowed dominant and multipath components of the $\\kappa-\\mu$ shadowed fading envelope. Verification of the new equations is performed by reduction to a number of known special cases. It is shown that as the shadowing of the resultant dominant component decreases, the signal crosses lower threshold levels at a reduced rate. Furt"},"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":"1506.08623","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-06-29T13:46:32Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"722073944d38e53f3982bc3f25e6ead8adec7715df27263f28acd7aa87df52eb","abstract_canon_sha256":"31827e771700c0a12d63e034502796c35f9a8f7fcaf0af5f7dcd7d23830de85c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:43.805529Z","signature_b64":"QZ9/81h2HCRW67oYPMJLCo/gSv705T7izWvtErABkCH2934ssQNh9kh4gOiYaxcRcfXCv0J8Wn76Bedjg5UGDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"175b59a566bce7de4f128d255761f528819e9dfe8431be9463b3ba8fd79a15b3","last_reissued_at":"2026-05-18T01:37:43.804998Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:43.804998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second-Order Statistics of $\\kappa-\\mu$ Shadowed Fading Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Simon L. Cotton","submitted_at":"2015-06-29T13:46:32Z","abstract_excerpt":"In this paper, novel closed-form expressions for the level crossing rate (LCR) and average fade duration (AFD) of $\\kappa-\\mu$ shadowed fading channels are derived. The new equations provide the capability of modeling the correlation between the time derivative of the shadowed dominant and multipath components of the $\\kappa-\\mu$ shadowed fading envelope. Verification of the new equations is performed by reduction to a number of known special cases. It is shown that as the shadowing of the resultant dominant component decreases, the signal crosses lower threshold levels at a reduced rate. Furt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08623","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":"1506.08623","created_at":"2026-05-18T01:37:43.805085+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.08623v1","created_at":"2026-05-18T01:37:43.805085+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08623","created_at":"2026-05-18T01:37:43.805085+00:00"},{"alias_kind":"pith_short_12","alias_value":"C5NVTJLGXTT5","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C5NVTJLGXTT54TYS","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C5NVTJLG","created_at":"2026-05-18T12:29:14.074870+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/C5NVTJLGXTT54TYSRUSVOYPVFC","json":"https://pith.science/pith/C5NVTJLGXTT54TYSRUSVOYPVFC.json","graph_json":"https://pith.science/api/pith-number/C5NVTJLGXTT54TYSRUSVOYPVFC/graph.json","events_json":"https://pith.science/api/pith-number/C5NVTJLGXTT54TYSRUSVOYPVFC/events.json","paper":"https://pith.science/paper/C5NVTJLG"},"agent_actions":{"view_html":"https://pith.science/pith/C5NVTJLGXTT54TYSRUSVOYPVFC","download_json":"https://pith.science/pith/C5NVTJLGXTT54TYSRUSVOYPVFC.json","view_paper":"https://pith.science/paper/C5NVTJLG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.08623&json=true","fetch_graph":"https://pith.science/api/pith-number/C5NVTJLGXTT54TYSRUSVOYPVFC/graph.json","fetch_events":"https://pith.science/api/pith-number/C5NVTJLGXTT54TYSRUSVOYPVFC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C5NVTJLGXTT54TYSRUSVOYPVFC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C5NVTJLGXTT54TYSRUSVOYPVFC/action/storage_attestation","attest_author":"https://pith.science/pith/C5NVTJLGXTT54TYSRUSVOYPVFC/action/author_attestation","sign_citation":"https://pith.science/pith/C5NVTJLGXTT54TYSRUSVOYPVFC/action/citation_signature","submit_replication":"https://pith.science/pith/C5NVTJLGXTT54TYSRUSVOYPVFC/action/replication_record"}},"created_at":"2026-05-18T01:37:43.805085+00:00","updated_at":"2026-05-18T01:37:43.805085+00:00"}