Pith Number

pith:TCT2BUOV

pith:2026:TCT2BUOVNIDNQAVGY3OIFL457P

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SEP Analysis of a Low-Resolution SIMO System with M-PSK over Fading Channels

Amila Ravinath, Antti T\"olli, Bikshapathi Gouda, Italo Atzeni, Minhua Ding

Exact SEP expressions for QPSK phase-quantized SIMO-MRC follow from a duality to reciprocal MISO systems.

arxiv:2601.03387 v3 · 2026-01-06 · eess.SP

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\pithnumber{TCT2BUOVNIDNQAVGY3OIFL457P}

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Claims

C1strongest 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.

C2weakest 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.

C3one 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.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

SEP Analysis of Quantized SIMO Systems with M-PSK over Correlated Fading Channels

Receipt and verification

First computed	2026-06-04T01:09:40.714005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a7a0d1d56a06d802a6c6dc82af9dfbf272c395a0ab99492f13da6758023ffc

Aliases

arxiv: 2601.03387 · arxiv_version: 2601.03387v3 · doi: 10.48550/arxiv.2601.03387 · pith_short_12: TCT2BUOVNIDN · pith_short_16: TCT2BUOVNIDNQAVG · pith_short_8: TCT2BUOV

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TCT2BUOVNIDNQAVGY3OIFL457P \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 98a7a0d1d56a06d802a6c6dc82af9dfbf272c395a0ab99492f13da6758023ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a15e66b478814ff27762b618cbe4747c5cbd854f22cec2f37d75ab6e1c79a6ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2026-01-06T19:48:34Z",
    "title_canon_sha256": "a54f000bac2d9041c9342c72f5a8798a07525ba43bef6c1684fce4da987e3f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.03387",
    "kind": "arxiv",
    "version": 3
  }
}