The 2-D digital waveguide mesh

Duyne, S. Van; Smith, Julius O.

doi:10.1109/aspaa.1993.379968

Cited by 78 publications

(124 citation statements)

References 2 publications

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“…A 2-D rectangular digital waveguide mesh was originally proposed in [1] and is illustrated in Fig. 1.…”

Section: The 2-d Rectangular Digital Waveguide Meshmentioning

confidence: 99%

“…The difference wave equation for 2-D rectangular mesh can be expressed using the node values as (1) where represents the wave velocity signal of a node at rectangular coordinates at time index . Here , , and are arbitrary integers.…”

Section: The 2-d Rectangular Digital Waveguide Meshmentioning

confidence: 99%

“…T HE DIGITAL waveguide mesh provides a numerical solution to the wave equation in multiple dimensions and, thus, has the benefit of incorporating the effects of diffraction and wave interference [1]- [3]. The 2-D and 3-D digital waveguide mesh schemes have been used to simulate wave propagation in musical instruments [4]- [6] and acoustic spaces [7], [8].…”

Section: Introductionmentioning

confidence: 99%

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Analytical Expression for Impulse Response Between Two Nodes in 2-D Rectangular Digital Waveguide Mesh

Chen

Maher

2008

IEEE Signal Process. Lett.

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Abstract-The digital waveguide mesh models multidimensional wave propagation in discrete space and time. The finite difference wave equation used in the mesh is expressed in the space-time domain, which is not straightforward to reveal the analytical expression for the impulse response between a source and a receiver. This letter describes a procedure to derive an analytical impulse response expression between two nodes in a 2-D rectangular digital waveguide mesh based on the wave equation. The analytical expression can provide helpful insights and help verify simulation results for the digital waveguide mesh.Index Terms-Acoustic propagation, digital waveguide mesh, impulse response expression, multidimensional signal processing, room acoustics modeling.

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“…A 2-D rectangular digital waveguide mesh was originally proposed in [1] and is illustrated in Fig. 1.…”

Section: The 2-d Rectangular Digital Waveguide Meshmentioning

confidence: 99%

Section: The 2-d Rectangular Digital Waveguide Meshmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical Expression for Impulse Response Between Two Nodes in 2-D Rectangular Digital Waveguide Mesh

Chen

Maher

2008

IEEE Signal Process. Lett.

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“…Since the artificial instrument can have the same control parameters as the real one, the users can control its timbre more intuitively than other abstract methods. Many artificial instruments have recently been developed [1][2][3]. Researches on flexible model structures [4,5] and on cost-effective algorithms for real time implementation [6,7] have been reported.…”

Section: Introductionmentioning

confidence: 99%

Sound timbre interpolation based on physical modeling

Hikichi

Osaka

2001

Acoust. Sci. & Tech.

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Our goal is to develop sound synthesis technology that users can synthesize arbitrary sound timbre, including musical instrument sounds, natural sounds, and their interpolation/extrapolation on demand. For this purpose, we investigated sound interpolation based on physical modeling. A soundsynthesis model composed of an exciter, a one-dimensional vibrator, and a two-dimensional resonator is used, and smooth timbre conversion by parameter control is examined. Piano and guitar sounds are simulated using this model, and interpolation between piano and guitar tones is investigated. The strategy for parameter control is proposed, and subjective tests were performed to evaluate the algorithm. A multidimensional scaling (MDS) technique is used, and perceptual characteristics are discussed. One of the axes of the timbre space is interpreted as spectral energy distribution, so the spectral centroid is used as a reference to adjust parameters for synthesis. By considering the centroids, smoothly interpolating timbre is achieved. These results suggest the possibility of developing a morphing system using a physical model.

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“…They have also been used to model the low frequency behaviour of an enclosed listening space [3]. Digital waveguide models are related both to finite difference time domain (FDTD) techniques [4] and to transmission line models (TLM) that are commonly used in problems involving electromagnetic compatibility [5]. Current digital waveguide models of room acoustics are limited to providing only a partial solution to an accurate RIR, as they are less effective at high frequencies where execution time becomes prohibitive for a full 3D implementation.…”

Section: Introductionmentioning

confidence: 99%

Modelling and directionally encoding the acoustics of a room

Murphy¹,

Howard

1998

Electron. Lett.

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Article:Murphy, D T orcid.org/0000-0002-6676-9459 and Howard, D M (1998) Modelling and directionally encoding the acoustics of a room. Electronics eprints@whiterose.ac.uk https://eprints.whiterose.ac.uk/ Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. eprints@whiterose.ac.uk the half of the delay of the fastest functional unit to avoid generating too many extra states. The performance of the proposed method is compared with the conventional minimum state implementation [3] in Table 1. We can obtain a latency reduction of 29.4% on average through the proposed latency compaction technique. Conclusion:We propose in this Letter a latency compaction technique which reduces the latency by optimising the system clock period. The proposed method allows non-integer multi-cycling and chaining of operators, resulting in an average performance improvement of 29.4%.

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The 2-D digital waveguide mesh

Cited by 78 publications

References 2 publications

Analytical Expression for Impulse Response Between Two Nodes in 2-D Rectangular Digital Waveguide Mesh

Analytical Expression for Impulse Response Between Two Nodes in 2-D Rectangular Digital Waveguide Mesh

Sound timbre interpolation based on physical modeling

Modelling and directionally encoding the acoustics of a room

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