{"paper":{"title":"SEP Analysis of a Low-Resolution SIMO System with M-PSK over Fading Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Exact SEP expressions for QPSK phase-quantized SIMO-MRC follow from a duality to reciprocal MISO systems.","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Amila Ravinath, Antti T\\\"olli, Bikshapathi Gouda, Italo Atzeni, Minhua Ding","submitted_at":"2026-01-06T19:48:34Z","abstract_excerpt":"In this paper, the average symbol error probability (SEP) of a phase-quantized single-input multiple-output (SIMO) system with M-ary phase-shift keying (PSK) modulation is analyzed under Rayleigh fading and additive white Gaussian noise. By leveraging a novel method, we derive exact SEP expressions for a quadrature PSK (QPSK)-modulated n-bit phase-quantized SIMO system with maximum ratio combining (SIMO-MRC), along with the corresponding high signal-to-noise ratio (SNR) characterizations in terms of diversity and coding gains. For a QPSK-modulated 2-bit phase-quantized SIMO system with selecti"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"By leveraging a novel method, we derive exact SEP expressions for a quadrature PSK (QPSK)-modulated n-bit phase-quantized SIMO system with maximum ratio combining (SIMO-MRC), along with the corresponding high signal-to-noise ratio (SNR) characterizations in terms of diversity and coding gains. ... This duality enables direct inference to obtain the diversity of a general M-PSK-modulated n-bit phase-quantized SIMO-MRC system.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"All the above results have been obtained assuming perfect CSI at the receiver (CSIR). ... the SEP analysis of a QPSK-modulated 2-bit phase-quantized SIMO system is extended to the limited CSIR case, where the CSI at each receive antenna is represented by only 2 bits of channel phase information.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Exact SEP expressions, diversity gains, and a SIMO-MISO duality are derived for n-bit phase-quantized M-PSK systems under Rayleigh fading, with halved diversity under limited CSIR.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Exact SEP expressions for QPSK phase-quantized SIMO-MRC follow from a duality to reciprocal MISO systems.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a7aa12ed8b5114214ffbded9e10f64577b714175e266df55e4c65efcfd6c6b6b"},"source":{"id":"2601.03387","kind":"arxiv","version":3},"verdict":{"id":"0975fc1e-878b-4bb4-a204-72dda680d2ce","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T16:34:38.697490Z","strongest_claim":"By leveraging a novel method, we derive exact SEP expressions for a quadrature PSK (QPSK)-modulated n-bit phase-quantized SIMO system with maximum ratio combining (SIMO-MRC), along with the corresponding high signal-to-noise ratio (SNR) characterizations in terms of diversity and coding gains. ... This duality enables direct inference to obtain the diversity of a general M-PSK-modulated n-bit phase-quantized SIMO-MRC system.","one_line_summary":"Exact SEP expressions, diversity gains, and a SIMO-MISO duality are derived for n-bit phase-quantized M-PSK systems under Rayleigh fading, with halved diversity under limited CSIR.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"All the above results have been obtained assuming perfect CSI at the receiver (CSIR). ... the SEP analysis of a QPSK-modulated 2-bit phase-quantized SIMO system is extended to the limited CSIR case, where the CSI at each receive antenna is represented by only 2 bits of channel phase information.","pith_extraction_headline":"Exact SEP expressions for QPSK phase-quantized SIMO-MRC follow from a duality to reciprocal MISO systems."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.03387/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"2b89c744ac3b10df0789d323066c30acf9002a9443b1a8a299f4593300e1b837"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}