Antiderivative Antialiasing Techniques in Nonlinear Wave Digital Structures

Albertini, Davide; Bernardini, Alberto; Sarti, Augusto

doi:10.17743/jaes.2021.0017

Cited by 6 publications

(6 citation statements)

References 35 publications

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“…12,21,23,24,41 Here, instead, we provide an explicit WD scattering relation based on the Wright ω function. [42][43][44] Substituting Equation (1) in Equation ( 10) and solving for b, we get…”

Section: Diodesmentioning

confidence: 99%

“…Possible approaches for the WD implementation of Equation (10) are provided in other studies 12,21,23,24,41 . Here, instead, we provide an explicit WD scattering relation based on the Wright ω function 42‐44 . Substituting Equation (1) in Equation (10) and solving for b , we get

b = \frac{false(R_{normals} + R_{normalp} - Z false) a + 2 R_{normalp} I_{normals} Z}{R_{normals} + R_{normalp} + Z} - \frac{2 η V_{normalt} Z}{R_{normals} + Z} ω ((), \ln \frac{R_{normalp} I_{normals} false(R_{normals} + Z false)}{η V_{normalt} false(R_{normals} + R_{normalp} + Z false)} - \frac{false(R_{normals} - Z false) a}{2 η V_{normalt} Z} + \frac{false(R_{normals} + Z false) ((), false(R_{normals} + R_{normalp} - Z false) a + 2 R_{normalp} I_{normals} Z)}{2 η V_{normalt} Z false(R_{normals} + R_{normalp} + Z false)}) .

…”

Section: Modeling Circuits In the Wave Digital Domainmentioning

confidence: 99%

See 1 more Smart Citation

Multidomain modeling of nonlinear electromagnetic circuits using wave digital filters

Giampiccolo

Bernardini

Gruosso

et al. 2021

Circuit Theory & Apps

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Accurate models of electromagnetic systems can be derived by coupling electric and magnetic equivalent circuits together. The different nature of such physical domains constitutes a big challenge that puts a continuous strain on software simulators. To face this problem, a simulation approach based on Wave Digital Filters (WDFs) is proposed in this manuscript. The method is employed to solve nonlinear electromagnetic systems containing complex magnetic equivalent circuits while maintaining the modularity of the electric and magnetic subsystems. The nonlinearities can be locally handled, enabling the possibility to choose a dedicated model for each one of them. The proposed algorithm is a hierarchical generalization of the Scattering Iterative Method, which has shown, over the past few years, promising performance for the simulation of large nonlinear circuits. In addition, the method constitutes a further step towards the development of novel general-purpose circuit simulators based on WDF principles. In a comparison with mainstream circuit simulation software, the proposed approach turns out to be considerably faster and thus particularly promising for parametric analyses of electromagnetic systems.

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Section: Diodesmentioning

confidence: 99%

b = \frac{false(R_{normals} + R_{normalp} - Z false) a + 2 R_{normalp} I_{normals} Z}{R_{normals} + R_{normalp} + Z} - \frac{2 η V_{normalt} Z}{R_{normals} + Z} ω ((), \ln \frac{R_{normalp} I_{normals} false(R_{normals} + Z false)}{η V_{normalt} false(R_{normals} + R_{normalp} + Z false)} - \frac{false(R_{normals} - Z false) a}{2 η V_{normalt} Z} + \frac{false(R_{normals} + Z false) ((), false(R_{normals} + R_{normalp} - Z false) a + 2 R_{normalp} I_{normals} Z)}{2 η V_{normalt} Z false(R_{normals} + R_{normalp} + Z false)}) .

…”

Section: Modeling Circuits In the Wave Digital Domainmentioning

confidence: 99%

Multidomain modeling of nonlinear electromagnetic circuits using wave digital filters

Giampiccolo

Bernardini

Gruosso

et al. 2021

Circuit Theory & Apps

Self Cite

View full text Add to dashboard Cite

show abstract

“…SRC is also used as a processing stage within certain audio algorithms, where sound quality can be improved by oversampling a signal prior to nonlinear processing [15,16]. Furthermore, techniques similar to SRC are required to implement wavetable and sampling synthesis [17][18][19], the varispeed function [20], and pitch shifting [21], which are all commonly used in music production.…”

Section: Introductionmentioning

confidence: 99%

Giant FFTs for Sample-Rate Conversion

Välimäki¹,

Bilbao²

2023

J. Audio Eng. Soc.

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The audio industry uses several sample rates interchangeably, and high-quality sample-rate conversion is crucial. This paper describes a frequency-domain sample-rate conversion method that employs a single large ("giant") fast Fourier transform (FFT). Large FFTs, corresponding to the duration of a track or full-length album, are now extremely fast, with execution times on the order of a few seconds on standard commercially available hardware. The method first transforms the signal into the frequency domain, possibly using zero-padding. The key part of the technique modifies the length of the spectral buffer to change the ratio of the audio content to the Nyquist limit. For up-sampling, an appropriate number of zeros is inserted between the positive and negative frequencies. In down-sampling, the spectrum is truncated. Finally, the inverse FFT synthesizes a time-domain signal at the new sample rate. The proposed method does not result in surviving folded spectral images, which occur in some instances with timedomain methods. However, it causes ringing at the Nyquist limit, which can be suppressed by tapering the spectrum and by low-pass filtering. The proposed sample-rate conversion method is targeted to offline audio applications in which sound files need to be converted between sample rates at high quality.

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“…Introduced for the analysis of large photovoltaic arrays under partial shading conditions, SIM is able to solve generic circuits containing multiple nonlinear one-ports using independent one-dimensional solvers. SIM was extended for the discrete-time domain emulation of diode-based ring modulators in the context of VA modeling [12,20], and then employed for the emulation of many other audio circuits [21][22][23][24]. It is worth adding that, in the WD domain, a proper choice of the free parameters has a direct effect not only on the speed of convergence of fixedpoint methods, but also of WD Newton-Raphson methods, as discussed in [25].…”

Section: Introductionmentioning

confidence: 99%

Parallel Wave Digital Filter Implementations of Audio Circuits with Multiple Nonlinearities

Giampiccolo¹,

Natoli²,

Bernardini³

et al. 2022

J. Audio Eng. Soc.

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Modern audio systems and musical effects feature multi-core processing units. The development of parallel audio processing algorithms capable of exploiting the architecture of such hardware is thus in order. In this paper, we present a parallel version of the Hierarchical Scattering Iterative Method (HSIM), a technique based on Wave Digital Filter principles recently proposed for the emulation of multiphysics audio circuits containing multiple nonlinear oneports and nonlinear transformers. HSIM operates in a modular fashion, and it is characterized by a high number of embarrassingly parallelizable operations, making it a good candidate for parallel execution. After analyzing HSIM from the parallel computing perspective, we propose three different strategies for the distribution of HSIM workload among threads of execution, and we show how to compute the maximum achievable speedup. The emulation of a possible output stage of a vacuum-tube guitar amplifier is considered, and a performance comparison between parallel and serial implementations of HSIM is presented, pointing out a speedup of nearly 30%. The proposed method proves thus to be promising for Virtual Analog modeling applications, leading the way towards the parallel digital emulation of increasingly complex audio circuits.

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Antiderivative Antialiasing Techniques in Nonlinear Wave Digital Structures

Cited by 6 publications

References 35 publications

Multidomain modeling of nonlinear electromagnetic circuits using wave digital filters

Multidomain modeling of nonlinear electromagnetic circuits using wave digital filters

Giant FFTs for Sample-Rate Conversion

Parallel Wave Digital Filter Implementations of Audio Circuits with Multiple Nonlinearities

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