{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QDWDI5H3VLFPKK7UXVFPBEDKGT","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":"cd18e2ddb72098beaf894af1244be875006a8103706a050be669762423428324","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-04-18T05:56:20Z","title_canon_sha256":"8ed4918bc4fb017e3ed804e74b12038b0287dd0e9b442a01a3e56af77d88e8ac"},"schema_version":"1.0","source":{"id":"1604.04999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04999","created_at":"2026-05-18T00:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04999v2","created_at":"2026-05-18T00:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04999","created_at":"2026-05-18T00:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"QDWDI5H3VLFP","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QDWDI5H3VLFPKK7U","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QDWDI5H3","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:05408b2dbc512c6d58cc813ea73d710eafa185514b9fa0f79709c2a9b5cb9f31","target":"graph","created_at":"2026-05-18T00:41:18Z","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":"Proportionate-type normalized suband adaptive filter (PNSAF-type) algorithms are very attractive choices for echo cancellation. To further obtain both fast convergence rate and low steady-state error, in this paper, a variable step size (VSS) version of the presented improved PNSAF (IPNSAF) algorithm is proposed by minimizing the square of the noise-free a posterior subband error signals. A noniterative shrinkage method is used to recover the noise-free a priori subband error signals from the noisy subband error signals. Significantly, the proposed VSS strategy can be applied to any other PNSA","authors_text":"Haiquan Zhao, Yi Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-04-18T05:56:20Z","title":"A Band-independent Variable Step Size Proportionate Normalized Subband Adaptive Filter Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04999","kind":"arxiv","version":2},"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":"sha256:2f3c9f92d868da52490a355360f690997aaf1f1de873821d21eb4a5b95cdafed","target":"record","created_at":"2026-05-18T00:41:18Z","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":"cd18e2ddb72098beaf894af1244be875006a8103706a050be669762423428324","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-04-18T05:56:20Z","title_canon_sha256":"8ed4918bc4fb017e3ed804e74b12038b0287dd0e9b442a01a3e56af77d88e8ac"},"schema_version":"1.0","source":{"id":"1604.04999","kind":"arxiv","version":2}},"canonical_sha256":"80ec3474fbaacaf52bf4bd4af0906a34c9373f684b1f213da3efbffd9f2c2e90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80ec3474fbaacaf52bf4bd4af0906a34c9373f684b1f213da3efbffd9f2c2e90","first_computed_at":"2026-05-18T00:41:18.384937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:18.384937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iPYtxZdxYhF5cgG4SeNsTMhdR+hc8Z0OOnGA7TD+Js6L9GZ31J9inKXjEarUycxvhG2H0naZDssG5xJg6YhBBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:18.385677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f3c9f92d868da52490a355360f690997aaf1f1de873821d21eb4a5b95cdafed","sha256:05408b2dbc512c6d58cc813ea73d710eafa185514b9fa0f79709c2a9b5cb9f31"],"state_sha256":"8f81b698f14d61ac789e42e526980ea3f556644fdb54f6ed035a610ff0e2bf89"}