• Corpus ID: 44246014

Wave Digital Filter Adaptors for Arbitrary Topologies and Multiport Linear Elements

@inproceedings{Werner2015WaveDF,
  title={Wave Digital Filter Adaptors for Arbitrary Topologies and Multiport Linear Elements},
  author={Kurt James Werner and Julius Orion Smith and Jonathan S. Abel},
  year={2015}
}
We present a Modified-Nodal-Analysis-derived method for developing Wave Digital Filter (WDF) adaptors corresponding to complicated (non-series/parallel) topologies that may include multiport linear elements (e.g. controlled sources and transformers). A second method resolves noncomputable (non-tree-like) arrangements of series/parallel adaptors. As with the familiar 3-port series and parallel adaptors, one port of each derived adaptor may be rendered reflection-free, making it acceptable for… 
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References

SHOWING 1-10 OF 37 REFERENCES

Resolving Wave Digital Filters with Multiple/Multiport Nonlinearities

TLDR
A novel framework for developing Wave Digital Filter models from reference circuits with multiple/multiport nonlinearities that significantly expands the class of appropriate WDF reference circuits and suggests a derivative of the K-method.

A general and explicit formulation for wave digital filters with multiple/multiport nonlinearities and complicated topologies

TLDR
A general, explicit, and novel formulation for Wave Digital Filters (WDFs) with multiple/multiport nonlinearities is presented and a case study on the first clipping stage of the Big Muff Pi distortion pedal is presented.

Generation of wave digital structures for networks containing multiport elements

TLDR
A framework for the automated generation of the wave digital structures is presented, where the reference circuit is assumed to comprise arbitrary connection types and the representation of the underlying graph by its so-called SPQR-tree is shown.

A multidimensional signal processing approach to Wave Digital Filters with topology-related delay-free loops

TLDR
In this paper, a new modular approach based on Multidimensional Wave Digital Filters (MDWDFs) is presented and the contractivity property of WDFs is shown and an appropriate modification is proposed that counteracts these effects and significantly improves the convergence behaviour.

Systematic Methods for the Implementation of Nonlinear Wave-Digital Structures

TLDR
Two methods for automating the construction of algorithms that efficiently implement wave-digital structures containing adaptors with memory and dynamic adaptors, based on the solution of state-space equations, are proposed.

Wave digital filters: Theory and practice

Wave digital filters (WDFs) are modeled after classical filters, preferably in lattice or ladder configurations or generalizations thereof. They have very good properties concerning coefficient…

Efficient Realization of Wave Digital Components for Physical Modeling and Sound Synthesis

  • M. Karjalainen
  • Engineering
    IEEE Transactions on Audio, Speech, and Language Processing
  • 2008
TLDR
Methods to realize consolidated impedance or admittance wave ports that are compatible to WDFs and digital waveguides are explored and attention is paid to simplicity of parametric control.

On adaptors for wave digital filters

The adders and multipliers of a wave digital filter (WDF) can be grouped into n-port building blocks called adaptors. Various aspects concerning the realization of adaptors are discussed. These…

Virtual Analog Modeling in the Wave-Digital Domain

TLDR
How nonlinear wave digital modeling can be fruitfully used for rapid prototyping of virtual analog systems is discussed, with particular reference to special blocks and connectors that allow us to overcome the implementational difficulties and potential limitations of such solutions.

Wave-digital polarity and current inverters and their application to virtual analog audio processing

TLDR
Two new nonenergic two-port WDF adaptors that allow mixing wave digital subnetworks adopting different polarity and sign conventions are introduced and the definitions of absorbed instantaneous and steady-state pseudopower are extended to the case in which the active sign convention is used.