Paper Citation Record · LEDGER

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters

As of 17 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2504.18887.

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

pith.paper-citation-record.v1
2504.18887 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:16:41.048509Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

verified exact0
verified fuzzy28
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f9fa909c-76d0-4f9e-96b3-d4ae56d086bb · outbound

This paper cites On the road to 6G: visions, requiremen ts, key technologies, and testbeds,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters On the road to 6G: visions, requiremen ts, key technologies, and testbeds,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.537703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2438ad2f-02e9-48c8-aa57-73a286cf54b5 · outbound

This paper cites Toward integrated sensing and commun ications for 6G: key enabling technologies, standardization, and chall enges,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Toward integrated sensing and commun ications for 6G: key enabling technologies, standardization, and chall enges,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.523079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a7c7668a-7bb6-4c84-b14a-00050c7da782 · outbound

This paper cites Characterization of randomly time-variant l inear channels,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Characterization of randomly time-variant l inear channels,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.510492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation be7df84b-d425-42f8-be6e-1dcc2450bb57 · outbound

This paper cites Orthogonal time frequency space modul ation,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Orthogonal time frequency space modul ation,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:40.920803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc7bfa9e-ce01-4fc5-9db8-65833a2e3358 · outbound

This paper cites OTFS: a new generation of modulati on addressing the challenges of 5G,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters OTFS: a new generation of modulati on addressing the challenges of 5G,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.491500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 54061ad3-2112-4ad7-9b24-92e25fd9d7b2 · outbound

This paper cites On OTFS modulation for high- Doppler fading channels,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters On OTFS modulation for high- Doppler fading channels,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.479962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8e468d16-2e90-4dd6-8d7a-5dabb63433f0 · outbound

This paper cites Interfe rence can- cellation and iterative detection for orthogonal time freq uency space modulation,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Interfe rence can- cellation and iterative detection for orthogonal time freq uency space modulation,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.469334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 71983950-bff3-4aea-9ae6-b4c2f8837d2d · outbound

This paper cites Wei et al., ”Orthogonal time-frequency space modulat ion: a promising next-generation waveform,” IEEE Wireless Commun., vol.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Wei et al., ”Orthogonal time-frequency space modulat ion: a promising next-generation waveform,” IEEE Wireless Commun., vol

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.455259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ed326816-a0b4-4c32-ba0d-bf310b9bae0c · outbound

This paper cites On t he effective- ness of OTFS for joint radar parameter estimation and commun ication,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters On t he effective- ness of OTFS for joint radar parameter estimation and commun ication,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.441006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 62a7d7c0-70c6-420f-870b-40b8ff13c0cf · outbound

This paper cites On t he diversity of uncoded OTFS modulation in doubly-dispersive channels,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters On t he diversity of uncoded OTFS modulation in doubly-dispersive channels,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.428307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2b38c0c6-78a3-4674-8d96-4b9307f3bf20 · outbound

This paper cites MIMO-OTFS in h igh- Doppler fading channels: signal detection and channel esti mation,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters MIMO-OTFS in h igh- Doppler fading channels: signal detection and channel esti mation,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.415809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 085e1140-78a0-4eca-8e3c-be906b8d4e1a · outbound

This paper cites Low-complexity lin ear equaliza- tion for OTFS modulation,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Low-complexity lin ear equaliza- tion for OTFS modulation,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.404633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 44b196b1-e209-4b4d-8f4f-00d6c384586e · outbound

This paper cites Low complexity LMMSE receiver for OTFS,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Low complexity LMMSE receiver for OTFS,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.393435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 93811c6f-2dee-45d4-aea0-727045a800e2 · outbound

This paper cites A simple variati onal Bayes detector for orthogonal time frequency space (OTFS) modula tion,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters A simple variati onal Bayes detector for orthogonal time frequency space (OTFS) modula tion,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.381784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 51289c79-928a-48f9-9ddf-d6557c94ef5b · outbound

This paper cites Gaussian appr oximate mes- sage passing detection of orthogonal time frequency space m odulation,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Gaussian appr oximate mes- sage passing detection of orthogonal time frequency space m odulation,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.370481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 699c3fd2-6672-413a-b6a0-bf6f63589ef0 · outbound

This paper cites Hybrid MAP and PIC detection for OTFS modulation,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Hybrid MAP and PIC detection for OTFS modulation,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.358433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9f880d01-e792-4371-9587-abf6a74e7acc · outbound

This paper cites Embedd ed pilot-aided channel estimation for OTFS in delay-Doppler channels,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Embedd ed pilot-aided channel estimation for OTFS in delay-Doppler channels,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.347208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation db4a3d54-f047-4d79-889e-2116c340dca6 · outbound

This paper cites Sparse Bayesian learning of delay- Doppler channel for OTFS system,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Sparse Bayesian learning of delay- Doppler channel for OTFS system,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.334490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 496a3659-962d-492c-9d31-44ad83811d21 · outbound

This paper cites Off-grid c hannel estimation with sparse Bayesian learning for OTFS systems,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Off-grid c hannel estimation with sparse Bayesian learning for OTFS systems,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.322912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 868ec87e-1bcb-46a8-bc34-2b269696666d · outbound

This paper cites O TFS channel estimation and data detection designs with superimposed pi lots,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters O TFS channel estimation and data detection designs with superimposed pi lots,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.310459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1439b60a-9f5d-4121-994c-9b19db0561d8 · outbound

This paper cites Low complexity precoding and detection in multi-user mass ive MIMO OTFS downlink,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Low complexity precoding and detection in multi-user mass ive MIMO OTFS downlink,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.298046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7ccf0d24-04c5-4356-b3ff-f62518803dcf · outbound

This paper cites Low complexity detection of spatial modulation aided OTFS in do ubly- selective channels,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Low complexity detection of spatial modulation aided OTFS in do ubly- selective channels,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.284844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7d5f9d71-9bb5-4e2b-9a2b-f920ee1d8e94 · outbound

This paper cites Space- time shift keying aided OTFS modulation for orthogonal multiple acces s,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Space- time shift keying aided OTFS modulation for orthogonal multiple acces s,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.273208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6ea5ea93-925c-4857-b3ce-e8e1e5e5900d · outbound

This paper cites OTFS − a mathematical foundation for communication and radar sensing in the delay-Doppler domain,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters OTFS − a mathematical foundation for communication and radar sensing in the delay-Doppler domain,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.259850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 773d5495-7b82-42af-a4d4-f1e72edbacfb · outbound

This paper cites OTFS − predictability in the delay-Doppler domain and its value to communication and radar sensing,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters OTFS − predictability in the delay-Doppler domain and its value to communication and radar sensing,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.247119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ecf8b39f-2b2f-4887-9f16-d58031e38220 · outbound

This paper cites Zak-OTFS implementation via time and frequ ency windowing,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Zak-OTFS implementation via time and frequ ency windowing,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.234068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bf7c8140-8a98-453b-87cf-b4a9f5cf7601 · outbound

This paper cites Zak-OTFS to Integrate Sensing the I/O Relation and Data Communication.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Zak-OTFS to Integrate Sensing the I/O Relation and Data Communication

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:41.003476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60d917c5-351b-4b49-9fcf-0404bf2e7d95 · outbound

This paper cites Optimal Zak-OTFS receiver and its relation to the radar matched ﬁlte r,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Optimal Zak-OTFS receiver and its relation to the radar matched ﬁlte r,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:41.008114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 552226ff-7f97-4ac6-a86c-bd754253c008 · outbound

This paper cites Zak-OTFS: Pulse Shaping and the Tradeoff between Time/Bandwidth Expansion and Predictability.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Zak-OTFS: Pulse Shaping and the Tradeoff between Time/Bandwidth Expansion and Predictability

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:41.012312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92081d44-4701-4d68-8b6d-caef42df9426 · outbound

This paper cites Near-optimal detectio n of Zak-OTFS signals,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Near-optimal detectio n of Zak-OTFS signals,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:41.016396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22b0d106-260f-4999-8d2f-bd63fb2f7ead · outbound

This paper cites Zak-OTFS and LDPC codes,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Zak-OTFS and LDPC codes,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:41.020234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb858ae5-284a-4334-aadf-9dea04dd5a08 · outbound

This paper cites Zak-OTFS and Turbo Signal Processing for Joint Sensing and Communication.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Zak-OTFS and Turbo Signal Processing for Joint Sensing and Communication

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:41.024824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de229b5f-be2f-49b3-a3e2-29ec60aba641 · outbound

This paper cites Zak-OTFS with Interleaved Pilots to Extend the Region of Predictable Operation.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Zak-OTFS with Interleaved Pilots to Extend the Region of Predictable Operation

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:41.029616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 521fe709-11f2-4613-b324-c55b55062e4a · outbound

This paper cites On th e pulse shaping for delay-Doppler communications,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters On th e pulse shaping for delay-Doppler communications,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.197741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 53e64159-5994-4d20-ac81-88f56e75c0e9 · outbound

This paper cites Fundamentals of Delay-Doppler Communications: Practical Implementation and Extensions to OTFS.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Fundamentals of Delay-Doppler Communications: Practical Implementation and Extensions to OTFS

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T10:16:41.036833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47bbf7d3-d389-4c2c-8697-cc40f3c4b125 · outbound

This paper cites an unresolved cited work.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:16:41.182395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 74d2f9bd-7a60-4a1a-a6fb-7030730831d1 · outbound

This paper cites Bracewell, The F ourier Transform and Its Applications , 3rd ed.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Bracewell, The F ourier Transform and Its Applications , 3rd ed

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.169671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c96de230-cbac-46b6-a946-cc43cc9c6cbd · outbound

This paper cites Guidelines for evaluation of radio tran smission tech- nologies for IMT-2000,.

Closed-Form Expressions for I/O Relation in Zak-OTFS with Different Delay-Doppler Filters Guidelines for evaluation of radio tran smission tech- nologies for IMT-2000,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:16:41.155680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.