Paper Citation Record · LEDGER

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO

As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2412.14657.

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

pith.paper-citation-record.v1
2412.14657 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:10:18.424819Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:54:05.881919Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T20:54:05.968812Z

Reference resolution

14 of 14 outbound references displayed

verified exact0
verified fuzzy13
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bed79ff8-1181-415b-aa58-63b9e36d0a03 · outbound

This paper cites Non-stationarities in extra-large-scale massive MIMO,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Non-stationarities in extra-large-scale massive MIMO,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:19.012698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9ad38800-2f92-49c9-9037-608ce182e0c6 · outbound

This paper cites Deep learning based be am training for extremely large-scale massive MIMO in near-ﬁeld domain ,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Deep learning based be am training for extremely large-scale massive MIMO in near-ﬁeld domain ,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.983194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a5831512-8955-42bb-9714-125684b9f575 · outbound

This paper cites Reconﬁgurable holographic surfaces for ultra-massive MIMO in 6G: Practical design, optimization and implementat ion,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Reconﬁgurable holographic surfaces for ultra-massive MIMO in 6G: Practical design, optimization and implementat ion,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.956208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 713fe4b3-ce9d-4278-a150-1b8e8bab60de · outbound

This paper cites RIS-based IMT-2030 testbed for MmWave multi-stream ultra-massive MIMO communications,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO RIS-based IMT-2030 testbed for MmWave multi-stream ultra-massive MIMO communications,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.927139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8d348b38-250f-42fe-8bb1-1d22ef4b4d61 · outbound

This paper cites On Landau’s eigenvalue theorem f or line-of- sight MIMO channels,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO On Landau’s eigenvalue theorem f or line-of- sight MIMO channels,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.893060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0eefa6f3-1afa-4b59-adac-66f8c2253bfa · outbound

This paper cites Elect romagnetic effective-degree-of-freedom prediction with parabolic e quation method,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Elect romagnetic effective-degree-of-freedom prediction with parabolic e quation method,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.704917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3cda1e75-34d1-4ea3-a70f-0c5ff13d3faa · outbound

This paper cites Communicating with large intelligent surf aces: Fundamental limits and models,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Communicating with large intelligent surf aces: Fundamental limits and models,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.680803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cef1b443-8a07-4e34-9ffd-b60d0010b05e · outbound

This paper cites Spatially -stationary model for holographic MIMO small-scale fading,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Spatially -stationary model for holographic MIMO small-scale fading,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.656030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 59fc2d94-bcc3-47d9-84e9-8b0933199e8b · outbound

This paper cites Orbital-angul ar-momentum versus MIMO: Orthogonality, degree of freedom, and capacit y,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Orbital-angul ar-momentum versus MIMO: Orthogonality, degree of freedom, and capacit y,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.621623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 16517d1f-9182-4994-b17e-6b8697ddd008 · outbound

This paper cites an unresolved cited work.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:10:18.596673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8cfa263b-f4e2-4a7e-8f8b-b692e855eaa2 · outbound

This paper cites Performance analysis and low-complexity design for XL-MIMO with near-ﬁeld spatial non-stationarities,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Performance analysis and low-complexity design for XL-MIMO with near-ﬁeld spatial non-stationarities,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.571829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1d604ead-2ebb-4ed9-8217-cfb81d952800 · outbound

This paper cites Small-scale spatial-temporal corre lation and de- grees of freedom for reconﬁgurable intelligent surfaces,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Small-scale spatial-temporal corre lation and de- grees of freedom for reconﬁgurable intelligent surfaces,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.548791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 66d16133-2fc4-46d1-a746-98138fbed122 · outbound

This paper cites An overview of eq uivalent circuit modeling techniques of frequency selective surfac es and metasur- faces,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO An overview of eq uivalent circuit modeling techniques of frequency selective surfac es and metasur- faces,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.520785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6a0832dc-885f-4fea-9484-f6e290231ff7 · outbound

This paper cites Active RIS versus passive RIS: Which is superior with the same power budget?,.

Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO Active RIS versus passive RIS: Which is superior with the same power budget?,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:10:18.476333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 9da51254-a4b9-4ef3-8b02-4a97eb408af5 · inbound

Effective DoF-Oriented Optimal Antenna Spacing in Near-Field XL-MIMO Systems cites this paper.

Effective DoF-Oriented Optimal Antenna Spacing in Near-Field XL-MIMO Systems Directivity-Aware Degrees of Freedom Analysis for Extremely Large-Scale MIMO

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:54:05.973740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.