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Paper Citation Record · LEDGER

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design

As of 12 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2506.15950.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.15950 v2

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:53:10.381883Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:56:19.215561Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T23:56:19.462234Z

Reference resolution

54 of 54 outbound references displayed

  • verified exact2
  • verified fuzzy47
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bfa96ae6-8454-47d4-8b86-9b95968fe732 · outbound

This paper cites Computation over multiple-access channels,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Computation over multiple-access channels,

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation feb3d35d-81f0-49df-af1f-703663588522 · outbound

This paper cites A survey on over-the-air computation,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design A survey on over-the-air computation,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.290412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 9fd91688-6d7e-4fd7-bd58-c9a4d188c557 · outbound

This paper cites To repeat or not to repeat: Insights from scaling LLM under token-crisis,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design To repeat or not to repeat: Insights from scaling LLM under token-crisis,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.282294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 8d0de299-3f3f-48b6-9b8c-90a98f6cbfb8 · outbound

This paper cites Scaling Laws for Neural Language Models.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Scaling Laws for Neural Language Models

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T23:53:05.631572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:53:05.631572Z digest=sha256:6bdc0bb8d98ea7b85ab889f3885c3ea2b48cef5289523cca06144bbbfd237947

Observation 23398e19-214f-46ec-bcd4-d52bc23e0d74 · outbound

This paper cites Bigscience large open-science open-access multilingual lan- guage model,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Bigscience large open-science open-access multilingual lan- guage model,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.274394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:05.743512Z digest=sha256:ba8f498cf84c6927204eab275f6794c48e1ff61d1691fb17fee551f20c5ca1f9

Observation 7fce74c7-fbd9-48e5-aabc-ff7a41ae60e2 · outbound

This paper cites Estimating the carbon footprint of BLOOM, a 176B parameter language model,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Estimating the carbon footprint of BLOOM, a 176B parameter language model,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.266609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:05.903464Z digest=sha256:ff4e95feaf2a86ee85c5c6afc7bc42435fab35f191ad2021ed108d292634ca5d

Observation 319f3325-067f-422a-a065-b947068bea5c · outbound

This paper cites Distributed training of large language models,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Distributed training of large language models,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.258694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:06.029416Z digest=sha256:0765fa6eac485d37d35e3222a3228c31ef71d650840341534359d7edcf10aafd

Observation 52155181-460e-417a-ac52-36aae7137a72 · outbound

This paper cites Over-the-air computation for distributed systems: Something old and something new,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Over-the-air computation for distributed systems: Something old and something new,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.250539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:06.171520Z digest=sha256:b72168415ab64565d8c140ac523e71c1382669f889055dde90b641cfe501994f

Observation 0a1ee602-99ca-4f37-9a49-13c14a92c1e7 · outbound

This paper cites Accelerating distributed optimization via over-the- air computing,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Accelerating distributed optimization via over-the- air computing,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.241555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1d3a4ef9-7285-4893-9024-601131fba0ae · outbound

This paper cites Wireless for machine learning: A survey,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Wireless for machine learning: A survey,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.232866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 79a00aa4-71b4-4d14-a9d2-6286988a79b3 · outbound

This paper cites Federated learning over wireless fading channels,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Federated learning over wireless fading channels,

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T23:53:06.569010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:53:06.569010Z digest=sha256:caabaf24b0e232266178fdefe8d4cb2efdce5c8fe5b7aed01f71551469c63660

Observation 058a57b4-0571-41b3-9f9e-770035b3eb9f · outbound

This paper cites Modulation-free M2M communications for mission-critical applications,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Modulation-free M2M communications for mission-critical applications,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.220415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:06.693044Z digest=sha256:e359a7fcdd0c343442604de690df0a9e6080fce5012410bda99b826fef963132

Observation b0ddc0cd-d673-4d87-92ff-f8da92793acb · outbound

This paper cites WHYPE: A scale-out architecture with wireless over-the-air majority for scalable in-memory hyperdimensional computing,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design WHYPE: A scale-out architecture with wireless over-the-air majority for scalable in-memory hyperdimensional computing,

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 9d88e9fb-ba9c-46cb-bc79-5e1c90473007 · outbound

This paper cites Compute-and-forward: Harnessing interfer- ence through structured codes,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Compute-and-forward: Harnessing interfer- ence through structured codes,

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 78010d37-b766-4436-8c11-df8258a83bf4 · outbound

This paper cites Harnessing interference for analog function computation in wireless sensor networks,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Harnessing interference for analog function computation in wireless sensor networks,

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:07.083175Z digest=sha256:470c792132e6df2f1cff08af6fb826179c233a43d5b80e648fc02ef0af7a9c08

Observation 853f3b2a-0e8b-4697-b1a0-9a21b63f4efc · outbound

This paper cites Nomographic functions: Efficient computation in clustered Gaussian sensor networks,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Nomographic functions: Efficient computation in clustered Gaussian sensor networks,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.189631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:07.232272Z digest=sha256:bd9f9564ea0023147799889dd924298bf4d1b0852351b4d3d3da2bf79c10e8b8

Observation a807cd75-4718-44c7-8188-e1a82e6dbf47 · outbound

This paper cites Over-the-air computation for IoT networks: Computing multiple functions with antenna arrays,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Over-the-air computation for IoT networks: Computing multiple functions with antenna arrays,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.181798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3f93b946-0d4b-41ff-a275-cef93ab5905a · outbound

This paper cites Robust design for massive CSI acquisition in analog function computation networks,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Robust design for massive CSI acquisition in analog function computation networks,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.174782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:07.464097Z digest=sha256:4dd7657c66b600661d73b6cb083963ddc26502edd9928555c4e2f71275ceb3b7

Observation 775c0c95-8bd0-4b0b-8bb1-2c5d35f90c49 · outbound

This paper cites Robust analog function computa- tion via wireless multiple-access channels,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Robust analog function computa- tion via wireless multiple-access channels,

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T23:53:07.634810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:53:07.634810Z digest=sha256:62639b0070550783cc96ae1d783e0de3dbf1abde13f30a76d2dd5ae5395a247d

Observation d2782b63-f248-44e4-88ac-0aa9125ba179 · outbound

This paper cites Over-the-air computation over balanced numer- als,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Over-the-air computation over balanced numer- als,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.164085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f73d1fae-6e22-4cd7-a897-5d65b3204e6c · outbound

This paper cites Computing functions over-the-air using digital modulations,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Computing functions over-the-air using digital modulations,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.158047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:07.947411Z digest=sha256:73fbe096501f4a667c108bb6d2900f2391affb7d03c4cabd309fcabf96fb1603

Observation 6d045635-f79c-480e-b683-eb7aa9d0f2d9 · outbound

This paper cites signSGD: Compressed optimisation for non-convex problems,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design signSGD: Compressed optimisation for non-convex problems,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.151824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 0486e3f2-6514-425a-8f1f-8d6044192259 · outbound

This paper cites Distributed learning over a wireless network with non- coherent majority vote computation,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Distributed learning over a wireless network with non- coherent majority vote computation,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.145361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.126041Z digest=sha256:98a98afa0d04640b6161431744cc39ed79dae38cfc1b4cddae653bb89463f3ff

Observation 1ddf3ea5-71e0-44e3-8295-8cb3939a0dd1 · outbound

This paper cites Over-the-air majority vote computation with modulation on conjugate-reciprocal zeros,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Over-the-air majority vote computation with modulation on conjugate-reciprocal zeros,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.139354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation ce3d9f10-a2a2-4f3a-9d25-bad9391e95c9 · outbound

This paper cites Waveforms for computing over the air,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Waveforms for computing over the air,

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-06T23:53:08.301149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:53:08.301149Z digest=sha256:b16614148d1f78d907062e6ebb02ae2bf9951b9060f6b0a69bf8c3ec7c89090a

Observation 86bb11e2-3acf-4ab3-979e-b3bf2e64f58a · outbound

This paper cites ChannelComp: A general method for computation by communications,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design ChannelComp: A general method for computation by communications,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.133202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.374415Z digest=sha256:9d94829f7f6f1456fe68e3d207ca07fce4096d913791a0dc69a7dd6e81e31a24

Observation c74bdcce-9db0-4e26-9341-a96b9aa44885 · outbound

This paper cites SumComp coding: Digital over-the-air computation via the ring of integers,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design SumComp coding: Digital over-the-air computation via the ring of integers,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.127400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.445441Z digest=sha256:2754d95390c9cd9d314d00f0a10a781646211e1c3f132b6cf05ea9b17737ae95

Observation 167a4058-a235-465b-986e-5396b47d8574 · outbound

This paper cites Blind federated learning via over-the-air q-QAM,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Blind federated learning via over-the-air q-QAM,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.121297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.522330Z digest=sha256:7db1a974874f6a89566a113c6ef321b51f4c1f359b7e6041a6c758e0c7c781d9

Observation 0952e7e8-bf84-40f1-9c77-f292cff6c746 · outbound

This paper cites A novel channel coding scheme for digital multiple access computing,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design A novel channel coding scheme for digital multiple access computing,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.114936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.591576Z digest=sha256:79991b4b4b1a630ee04de6d64abc292db13b8670272f54b18dce214da64fb273

Observation 0acf23e2-9c36-4fbe-8eec-6194590394f2 · outbound

This paper cites ReMAC: Digital multiple access computing by repeated trans- missions,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design ReMAC: Digital multiple access computing by repeated trans- missions,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.108513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.664229Z digest=sha256:c5288d6fbd962b870c09f4f16147c7c888f4dbfbd561e33de9d6c7a227b6f36f

Observation 82d4241a-9ce0-41e6-a853-b13236a00e4b · outbound

This paper cites Channel-Aware Constellation Design for Digital OTA Computation.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Channel-Aware Constellation Design for Digital OTA Computation

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:53:10.745375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.737472Z digest=sha256:55b7e5c9af9404b37ac467beb164d6202344050761827292138336d9bf88c224

Observation 28d44854-a44f-4c15-a938-38e6ad2b5103 · outbound

This paper cites Modulation and coding for linear Gaussian channels,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Modulation and coding for linear Gaussian channels,

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:12.052239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.794284Z digest=sha256:f7db4f9f2c21b01252335704ce73f2b8cf3a5b7e7491c1910b3ee35c5272c662

Observation bbc0faa3-8c1d-4f8e-92c3-af2476bd7261 · outbound

This paper cites On the optimality of uniform pulse amplitude modulation,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design On the optimality of uniform pulse amplitude modulation,

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.959952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.865928Z digest=sha256:ace464c61506bbec682f3710467c19393087bf271fd7db0c90ad0be6f383584b

Observation 89ca9bab-0150-4e5f-82a9-623f5c7313a0 · outbound

This paper cites Constellation-optimal beam- formers for multiuser MISO broadcast visible light communications,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Constellation-optimal beam- formers for multiuser MISO broadcast visible light communications,

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.818653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:08.939937Z digest=sha256:3290f10bf54f382c84d6b420a5be18d81ef0e3ecd18cb5b88227809d2229fa6a

Observation defb033d-4717-4ace-a8df-3f547de25f7f · outbound

This paper cites Signal processing and detection,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Signal processing and detection,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.685564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.013663Z digest=sha256:ba09a0f4d865d22019771a9133f0aa0e7d88424ad5d2a00299261cf7aa4c12f5

Observation 9038d512-39af-4936-8a9a-37d4c6af9668 · outbound

This paper cites Performance analysis of APSK modulation for DVB-S2 transmission over nonlin- ear channels,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Performance analysis of APSK modulation for DVB-S2 transmission over nonlin- ear channels,

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.509552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.059238Z digest=sha256:fc745b2049732401db9291fec867b3063ec70b9ad36af70165cfbdf91b6c88bb

Observation 4f564722-531e-48e3-989f-7fb2d8be5bb1 · outbound

This paper cites Approaching capacity by equiproba- ble signaling on the Gaussian channel,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Approaching capacity by equiproba- ble signaling on the Gaussian channel,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.383809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.120669Z digest=sha256:a10f3fb233975e4c43d9ffc103be00474a875ec96f08e832426468ee87156c74

Observation 36a47c37-55fd-49e1-a953-e3c598753b6f · outbound

This paper cites Constellation design for memoryless phase noise channels,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Constellation design for memoryless phase noise channels,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.329472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.183381Z digest=sha256:b55f4fbe66ea924dcc011ee26d089c6a82e4ccb36a9b6063298dbb95b01b6daa

Observation 72caaa8b-a631-4a0d-81b6-d62e02333f72 · outbound

This paper cites Optimization of two- dimensional signal constellations in the presence of Gaussian noise,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Optimization of two- dimensional signal constellations in the presence of Gaussian noise,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.320630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.290068Z digest=sha256:b33ec1f21f6b5d471167b77ec43d20539d2003388c2bf400982d629bd8ce507f

Observation 8d8105d6-a015-46a8-a465-9896ed583f61 · outbound

This paper cites Performance of nonuniform constellations on the Gaussian channel,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Performance of nonuniform constellations on the Gaussian channel,

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.311718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.353691Z digest=sha256:349265942ea541577eaa5052e15942f65380013b8eea0ed70452aa20f3a051e1

Observation 739c544a-bf1b-4b99-a428-5707b22cc668 · outbound

This paper cites Space modulation with CSI: Constellation design and performance evaluation,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Space modulation with CSI: Constellation design and performance evaluation,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.302218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.433333Z digest=sha256:2301f2ddd6767388900fcc91a10525825f4b1f7bf1658fb8d39356031d4a9ac6

Observation 5187c110-dcb2-4638-8801-25237ad298de · outbound

This paper cites On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:53:10.514458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.494424Z digest=sha256:c2233d15aac45df530a2596f98f4475dff0cf4e43fa02949af51fdb5e0d7134a

Observation 800301dd-aee5-43ac-8186-7b5f48fb5f34 · outbound

This paper cites Blind asynchronous over-the-air federated edge learning,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Blind asynchronous over-the-air federated edge learning,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.295692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.565552Z digest=sha256:4d81a0f546254997018065c8de918bfe19691a8be33e5b534e8289fd319d0596

Observation 83fd8f17-6c68-4ed5-9f60-4794be3f6ae7 · outbound

This paper cites Optimal receive filter design for misaligned over-the-air computation,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Optimal receive filter design for misaligned over-the-air computation,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.289425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.626495Z digest=sha256:9b9ba7b31ad0d9f1d1811f852d7e21a9ba00e6ea501d9a70ccd016b8df0be5cb

Observation 1f2ff9c6-6371-4130-92ab-1aea1ae76f9e · outbound

This paper cites Timely and painless breakups: Off-the-grid blind message recovery and users’ demixing,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Timely and painless breakups: Off-the-grid blind message recovery and users’ demixing,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.283203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.715605Z digest=sha256:78e9607465dac399b871cb32e514ddea90daa132b737cd1bf15cf8d9cd2dfb14

Observation c293d24e-75b9-4855-a057-b47b9a886a1f · outbound

This paper cites One-bit over-the-air aggregation for communication-efficient federated edge learning: Design and convergence analysis,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design One-bit over-the-air aggregation for communication-efficient federated edge learning: Design and convergence analysis,

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.277130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.791678Z digest=sha256:c2cfd18670c9fba516e8ca0ebc6cf11e283910e7001e0eabf219ceddadd7f2ee

Observation 83b5ccf6-d110-4648-905e-3b1a75789451 · outbound

This paper cites Broadband analog aggregation for low-latency federated edge learning,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Broadband analog aggregation for low-latency federated edge learning,

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-06T23:53:09.853744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:53:09.853744Z digest=sha256:fe420481064c782923c1bc9e1db471763b3a9b4a994bf3b080c4358e68e4f96c

Observation 10bd24e5-621b-431b-b017-47082109aad8 · outbound

This paper cites Digital over-the-air computation: Achieving high reliability via bit-slicing,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Digital over-the-air computation: Achieving high reliability via bit-slicing,

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.266692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.917779Z digest=sha256:515d42966deb629e237af9d498351e4188dacbd23e94f7937819de1490ab68c6

Observation b1ec2fb8-964d-4208-b22b-e8531eebd566 · outbound

This paper cites Asymptotic error probability analysis of quadratic receivers in Rayleigh-fading channels with applications to a unified analysis of coherent and noncoherent space-time receivers,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Asymptotic error probability analysis of quadratic receivers in Rayleigh-fading channels with applications to a unified analysis of coherent and noncoherent space-time receivers,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.260187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:09.985207Z digest=sha256:23e853ac936f4b82fc00f62027e890324cf94aa92d143c374ac6d4d42a03bdba

Observation 1669c983-5ac7-4364-8aed-5f0353568ddd · outbound

This paper cites Space-time codes for high data rate wireless communication: performance criterion and code construction,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Space-time codes for high data rate wireless communication: performance criterion and code construction,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.253210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:10.057110Z digest=sha256:67ce35f2382388e023fb4e27622b8f3d0e5200089ee17c5317c8d7903c924870

Observation 79757070-c37a-487d-a418-e962693da4d8 · outbound

This paper cites New exponential bounds and approximations for the computation of error probability in fading channels,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design New exponential bounds and approximations for the computation of error probability in fading channels,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.246354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:10.115959Z digest=sha256:a5b1fd690523778a8135572a3f19ab438432193a64bf440ba472f4dddf323d64

Observation fd8228c9-8f0c-4303-9420-6cb72babc98f · outbound

This paper cites Transmit beamforming for physical-layer multicasting,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Transmit beamforming for physical-layer multicasting,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.238629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:10.211817Z digest=sha256:091e90d880ca27707bde17fff03488c6c87db4e77bfb6df4e75ff474848a1377

Observation 8e310f16-af1c-42f5-97ea-1cf8240c8b30 · outbound

This paper cites Ex- perimental evidence for heavy tailed interference in the IoT,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design Ex- perimental evidence for heavy tailed interference in the IoT,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.231180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:10.260345Z digest=sha256:b175fc0c1f686470a3baa2e21a2f4c947af0bb35b65fed8a482d8d4dadaaddf5

Observation 129ce287-d990-46ed-9332-90d8eeb38521 · outbound

This paper cites A universal approximation result for difference of log-sum-exp neural networks,.

On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design A universal approximation result for difference of log-sum-exp neural networks,

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:53:11.120036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:53:10.381883Z digest=sha256:3573d3398c94f3b6605eb1de2402fcfbf3a278a16e6f97870cca092168ba1fc1

Pith citing papers

Observation 50e16a77-3580-4e2c-93aa-ae61b390ddcb · inbound

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling cites this paper.

On Designing Modulation for Over-the-Air Computation -- Part II: Pyramid Sampling On Designing Modulation for Over-the-Air Computation -- Part I: Noise-Aware Design

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:56:19.468495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T23:56:19.215561Z digest=sha256:18d5de6ad9ddcfe4863b58993ec4eb4fc8fb8d06bae404c034cf49687f52a6bb