{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LYLJVI36KCZQUFRQMISA67ZRAJ","short_pith_number":"pith:LYLJVI36","schema_version":"1.0","canonical_sha256":"5e169aa37e50b30a163062240f7f310273a6894e776ffc1beacef705968c637b","source":{"kind":"arxiv","id":"1308.2743","version":1},"attestation_state":"computed","paper":{"title":"H-infinity Design of Periodically Nonuniform Interpolation and Decimation for Non-Band-Limited Signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.IT","math.OC"],"primary_cat":"cs.IT","authors_text":"Masaaki Nagahara, Masaki Ogura, Yutaka Yamamoto","submitted_at":"2013-08-13T03:12:30Z","abstract_excerpt":"In this paper, we consider signal interpolation of discrete-time signals which are decimated nonuniformly. A conventional interpolation method is based on the sampling theorem, and the resulting system consists of an ideal filter with complex-valued coefficients. While the conventional method assumes band limitation of signals, we propose a new method by sampled-data H-infinity optimization. By this method, we can remove the band-limiting assumption and the optimal filter can be with real-valued coefficients. Moreover, we show that without band-limited assumption, there can be the optimal deci"},"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":"1308.2743","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-08-13T03:12:30Z","cross_cats_sorted":["cs.SY","math.IT","math.OC"],"title_canon_sha256":"900b4f9474fb15e6ef7c58026377c1c05607ffd49a6922559abbc94367e40a3a","abstract_canon_sha256":"69ff5ef2e98ab4b39c72f078f41a4d72fc1f880165712df94a81dc2497e1695f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:05.348064Z","signature_b64":"Ldp5VrkdAF60yWAHXoVShMEXRIWJcfEiQWl1iB/YZic5wF5xpDYG5q1CwBzJbxmIzdwhlRtBBIAZ5xDhLOAODQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e169aa37e50b30a163062240f7f310273a6894e776ffc1beacef705968c637b","last_reissued_at":"2026-05-18T03:16:05.347628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:05.347628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"H-infinity Design of Periodically Nonuniform Interpolation and Decimation for Non-Band-Limited Signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.IT","math.OC"],"primary_cat":"cs.IT","authors_text":"Masaaki Nagahara, Masaki Ogura, Yutaka Yamamoto","submitted_at":"2013-08-13T03:12:30Z","abstract_excerpt":"In this paper, we consider signal interpolation of discrete-time signals which are decimated nonuniformly. A conventional interpolation method is based on the sampling theorem, and the resulting system consists of an ideal filter with complex-valued coefficients. While the conventional method assumes band limitation of signals, we propose a new method by sampled-data H-infinity optimization. By this method, we can remove the band-limiting assumption and the optimal filter can be with real-valued coefficients. Moreover, we show that without band-limited assumption, there can be the optimal deci"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2743","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":"1308.2743","created_at":"2026-05-18T03:16:05.347692+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.2743v1","created_at":"2026-05-18T03:16:05.347692+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2743","created_at":"2026-05-18T03:16:05.347692+00:00"},{"alias_kind":"pith_short_12","alias_value":"LYLJVI36KCZQ","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LYLJVI36KCZQUFRQ","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LYLJVI36","created_at":"2026-05-18T12:27:51.066281+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/LYLJVI36KCZQUFRQMISA67ZRAJ","json":"https://pith.science/pith/LYLJVI36KCZQUFRQMISA67ZRAJ.json","graph_json":"https://pith.science/api/pith-number/LYLJVI36KCZQUFRQMISA67ZRAJ/graph.json","events_json":"https://pith.science/api/pith-number/LYLJVI36KCZQUFRQMISA67ZRAJ/events.json","paper":"https://pith.science/paper/LYLJVI36"},"agent_actions":{"view_html":"https://pith.science/pith/LYLJVI36KCZQUFRQMISA67ZRAJ","download_json":"https://pith.science/pith/LYLJVI36KCZQUFRQMISA67ZRAJ.json","view_paper":"https://pith.science/paper/LYLJVI36","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.2743&json=true","fetch_graph":"https://pith.science/api/pith-number/LYLJVI36KCZQUFRQMISA67ZRAJ/graph.json","fetch_events":"https://pith.science/api/pith-number/LYLJVI36KCZQUFRQMISA67ZRAJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LYLJVI36KCZQUFRQMISA67ZRAJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LYLJVI36KCZQUFRQMISA67ZRAJ/action/storage_attestation","attest_author":"https://pith.science/pith/LYLJVI36KCZQUFRQMISA67ZRAJ/action/author_attestation","sign_citation":"https://pith.science/pith/LYLJVI36KCZQUFRQMISA67ZRAJ/action/citation_signature","submit_replication":"https://pith.science/pith/LYLJVI36KCZQUFRQMISA67ZRAJ/action/replication_record"}},"created_at":"2026-05-18T03:16:05.347692+00:00","updated_at":"2026-05-18T03:16:05.347692+00:00"}