Paper Citation Record · LEDGER

Fractional Fourier Sound Synthesis

As of 8 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2506.09189.

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

pith.paper-citation-record.v1
2506.09189 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:58:04.748429Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:58:02.677095Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T04:58:05.401607Z

Reference resolution

21 of 21 outbound references displayed

verified exact4
verified fuzzy13
unresolved2
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation efadfd7d-888e-49d4-9ba8-e1458d309f11 · outbound

This paper cites Fractional Fourier Sound Synthesis.

Fractional Fourier Sound Synthesis Fractional Fourier Sound Synthesis

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:58:05.455530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e98ccb7-2224-4739-be50-b8dd094294b4 · outbound

This paper cites an unresolved cited work.

Fractional Fourier Sound Synthesis Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:58:08.386563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c841f746-6c92-4bc7-9fb5-30fef9c5f69b · outbound

This paper cites While we be- lieve much more can be done, we have chosen to keep this simple, as our aim is to consolidate the foundations of the creative use of the FrFT in audio.

Fractional Fourier Sound Synthesis While we be- lieve much more can be done, we have chosen to keep this simple, as our aim is to consolidate the foundations of the creative use of the FrFT in audio

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:08.175551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4c5acc34-d869-44f4-98b9-756f8b3f005e · outbound

This paper cites A brief explanation of some of the visual and sonic examples is provided in this section, but more examples can be found on this article’s webpage.

Fractional Fourier Sound Synthesis A brief explanation of some of the visual and sonic examples is provided in this section, but more examples can be found on this article’s webpage

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:07.997334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c6e4cb13-8029-4fa1-b1b0-f2d6b76b71f7 · outbound

This paper cites an unresolved cited work.

Fractional Fourier Sound Synthesis Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:58:07.773629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f9467001-fa5b-4eb8-9aaa-5c5f2dded899 · outbound

This paper cites The proposed approaches, α-synthesis and α-filtering, demonstrate how the FrFT can be used to generate complex and timbrally di- verse audio signals.

Fractional Fourier Sound Synthesis The proposed approaches, α-synthesis and α-filtering, demonstrate how the FrFT can be used to generate complex and timbrally di- verse audio signals

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:07.577688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf01615b-a88e-456e-8185-5b5ae27710e6 · outbound

This paper cites Sound synthesis by fractional wave- shaping,.

Fractional Fourier Sound Synthesis Sound synthesis by fractional wave- shaping,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:07.329462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87f2ab06-96de-4ec0-9575-db577815483f · outbound

This paper cites an unresolved cited work.

Fractional Fourier Sound Synthesis Unresolved cited work

Reference 8

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T04:58:07.109077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a171eb0b-d835-41f0-8699-99f9d34b166d · outbound

This paper cites On the application of fractional fourier transform for enhancing noisy speech,.

Fractional Fourier Sound Synthesis On the application of fractional fourier transform for enhancing noisy speech,

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-07T04:58:05.304965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c99bd0ad-4aa8-44e9-908d-b7c61e155a3b · outbound

This paper cites Time–frequency localization for the fractional fourier transform in signal processing and uncertainty principles,.

Fractional Fourier Sound Synthesis Time–frequency localization for the fractional fourier transform in signal processing and uncertainty principles,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:06.958703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2f3222fc-7473-4e65-9a06-902c7e35802e · outbound

This paper cites The dis- crete fractional fourier transform,.

Fractional Fourier Sound Synthesis The dis- crete fractional fourier transform,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:05.987636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e1e7c100-2875-49d2-b7ce-c22375ec6255 · outbound

This paper cites Development and exploration of a timbre space representation of audio,.

Fractional Fourier Sound Synthesis Development and exploration of a timbre space representation of audio,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:06.797173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b1c511f1-9ee3-4cf0-9090-35b459924039 · outbound

This paper cites Hermitian polynomials and fourier analysis,.

Fractional Fourier Sound Synthesis Hermitian polynomials and fourier analysis,

Reference 13

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T04:58:06.649527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0d50e8e0-14fe-4119-8009-563b9f188831 · outbound

This paper cites On a hilbert space of analytic functions and an associated integral transform part i,.

Fractional Fourier Sound Synthesis On a hilbert space of analytic functions and an associated integral transform part i,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:06.444794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 77472941-7e24-41f6-91f4-80159e881f46 · outbound

This paper cites Discrete fractional fourier transform,.

Fractional Fourier Sound Synthesis Discrete fractional fourier transform,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:06.327397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fa4fb8b2-9cec-4ba6-9ca1-e626854feb9d · outbound

This paper cites an unresolved cited work.

Fractional Fourier Sound Synthesis Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-07T04:58:04.957030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fc9caf45-ea32-450b-9164-07e29f91a952 · outbound

This paper cites Introduction to the fractional fourier transform and its applications,.

Fractional Fourier Sound Synthesis Introduction to the fractional fourier transform and its applications,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:06.164596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 862b8f8d-5ccd-45d8-af1a-9d5d9af0caf8 · outbound

This paper cites Discrete fractional fourier transform based on orthogonal pro- jections,.

Fractional Fourier Sound Synthesis Discrete fractional fourier transform based on orthogonal pro- jections,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:05.840383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3f2c0212-d5c7-4a21-82af-42725a50f251 · outbound

This paper cites Trainable fractional fourier transform,.

Fractional Fourier Sound Synthesis Trainable fractional fourier transform,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:05.724174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ec7ff772-bad9-4a1d-a341-093e3ae5eac2 · outbound

This paper cites Research of frft rotation factor sensitivity and diffusion based on audio,.

Fractional Fourier Sound Synthesis Research of frft rotation factor sensitivity and diffusion based on audio,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:58:05.572895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 920d484b-c900-4b25-be06-02f9559143b1 · outbound

This paper cites Available: https://link.springer.com/ article/10.1007/s00034-021-01698-6.

Fractional Fourier Sound Synthesis Available: https://link.springer.com/ article/10.1007/s00034-021-01698-6

Reference 2021

Resolution: verified exact; doi, observed 2026-08-07T04:58:05.095870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation efadfd7d-888e-49d4-9ba8-e1458d309f11 · inbound