{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:G6EVSRLNWR3L3OINK4WP4JSEI7","short_pith_number":"pith:G6EVSRLN","schema_version":"1.0","canonical_sha256":"378959456db476bdb90d572cfe264447e9ec707fa783de725cf6e3cd5f5b7020","source":{"kind":"arxiv","id":"1206.3029","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic Outage Probability Analysis for General Fixed-Gain Amplify-and-Forward Multihop Relay Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gillian Huang, Justin P. Coon, Yue Wang","submitted_at":"2012-06-14T08:08:59Z","abstract_excerpt":"In this paper, we present an analysis of the outage probability for fixed-gain amplify-and-forward (AF) multihop relay links operating in the high SNR regime. Our analysis exploits properties of Mellin transforms to derive an asymptotic approximation that is accurate even when the per-hop channel gains adhere to completely different fading models. The main result contained in the paper is a general expression for the outage probability, which is a functional of the Mellin transforms of the per-hop channel gains. Furthermore, we explicitly calculate the asymptotic outage probability for four di"},"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":"1206.3029","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-14T08:08:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9ba11f61d0df6dd115b3f2f9d9f6b1c29709e5db035b2e5d90c794d3d521cdde","abstract_canon_sha256":"3ab218264caed03678e9093556753af0b0fb6623348e41a774c9e575cd84453b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:32.961747Z","signature_b64":"BQhybthp/NFXtSfQaF6yFeb2X5LOwh5xnoGImcbrJh7EWWeHAhqDc7JJkJC8oWs/4I3hUQx3sjhBs00OBy+YCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"378959456db476bdb90d572cfe264447e9ec707fa783de725cf6e3cd5f5b7020","last_reissued_at":"2026-05-18T03:53:32.961070Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:32.961070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic Outage Probability Analysis for General Fixed-Gain Amplify-and-Forward Multihop Relay Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gillian Huang, Justin P. Coon, Yue Wang","submitted_at":"2012-06-14T08:08:59Z","abstract_excerpt":"In this paper, we present an analysis of the outage probability for fixed-gain amplify-and-forward (AF) multihop relay links operating in the high SNR regime. Our analysis exploits properties of Mellin transforms to derive an asymptotic approximation that is accurate even when the per-hop channel gains adhere to completely different fading models. The main result contained in the paper is a general expression for the outage probability, which is a functional of the Mellin transforms of the per-hop channel gains. Furthermore, we explicitly calculate the asymptotic outage probability for four di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3029","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":"1206.3029","created_at":"2026-05-18T03:53:32.961178+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.3029v1","created_at":"2026-05-18T03:53:32.961178+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3029","created_at":"2026-05-18T03:53:32.961178+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6EVSRLNWR3L","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6EVSRLNWR3L3OIN","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6EVSRLN","created_at":"2026-05-18T12:27:06.952714+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/G6EVSRLNWR3L3OINK4WP4JSEI7","json":"https://pith.science/pith/G6EVSRLNWR3L3OINK4WP4JSEI7.json","graph_json":"https://pith.science/api/pith-number/G6EVSRLNWR3L3OINK4WP4JSEI7/graph.json","events_json":"https://pith.science/api/pith-number/G6EVSRLNWR3L3OINK4WP4JSEI7/events.json","paper":"https://pith.science/paper/G6EVSRLN"},"agent_actions":{"view_html":"https://pith.science/pith/G6EVSRLNWR3L3OINK4WP4JSEI7","download_json":"https://pith.science/pith/G6EVSRLNWR3L3OINK4WP4JSEI7.json","view_paper":"https://pith.science/paper/G6EVSRLN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.3029&json=true","fetch_graph":"https://pith.science/api/pith-number/G6EVSRLNWR3L3OINK4WP4JSEI7/graph.json","fetch_events":"https://pith.science/api/pith-number/G6EVSRLNWR3L3OINK4WP4JSEI7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6EVSRLNWR3L3OINK4WP4JSEI7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6EVSRLNWR3L3OINK4WP4JSEI7/action/storage_attestation","attest_author":"https://pith.science/pith/G6EVSRLNWR3L3OINK4WP4JSEI7/action/author_attestation","sign_citation":"https://pith.science/pith/G6EVSRLNWR3L3OINK4WP4JSEI7/action/citation_signature","submit_replication":"https://pith.science/pith/G6EVSRLNWR3L3OINK4WP4JSEI7/action/replication_record"}},"created_at":"2026-05-18T03:53:32.961178+00:00","updated_at":"2026-05-18T03:53:32.961178+00:00"}