Coefficient sensitivity of state-space digital filters derived using balanced model truncation

Mackenzie, J.; Kale, I.; Cain, G.D.

doi:10.1049/el:19960918

Cited by 2 publications

(1 citation statement)

References 2 publications

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“…Various signal-processing methods are known that can estimate a digital filter transfer function for a given sampled signal. Sandler used linear prediction techniques [223,224] and Mackenzie et al applied the balanced model truncation method [166] to obtain a digital filter model for drum sounds. Laroche [158] and Macon et al [167] applied parametric methods on various frequency bands for the same task.…”

Section: Filter-based Modal Methodsmentioning

confidence: 99%

Discrete-time modelling of musical instruments

Välimäki¹,

Pakarinen²,

Erkut³

et al. 2005

Rep. Prog. Phys.

114

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This article describes physical modelling techniques that can be used for simulating musical instruments. The methods are closely related to digital signal processing. They discretize the system with respect to time, because the aim is to run the simulation using a computer. The physics-based modelling methods can be classified as mass-spring, modal, wave digital, finite difference, digital waveguide and source-filter models. We present the basic theory and a discussion on possible extensions for each modelling technique. For some methods, a simple model example is chosen from the existing literature demonstrating a typical use of the method. For instance, in the case of the digital waveguide modelling technique a vibrating string model is discussed, and in the case of the wave digital filter technique we present a classical piano hammer model. We tackle some nonlinear and time-varying models and include new results on the digital waveguide modelling of a nonlinear string. Current trends and future directions in physical modelling of musical instruments are discussed.

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Section: Filter-based Modal Methodsmentioning

confidence: 99%

Discrete-time modelling of musical instruments

Välimäki¹,

Pakarinen²,

Erkut³

et al. 2005

Rep. Prog. Phys.

114

View full text Add to dashboard Cite

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Speech coding via Balanced Model Truncation-a novel approach

Pelaez

Kale²,

Malanda³

1998 IEEE International Conference on Electronics, Circuits and Systems. Surfing the Waves of Science and Technology (Cat. No.9

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This paper reports on the novel application of the Balanced Model Truncation (BMT) technique to speech coding. Staring from a source-filter model of speech, we expose the use of BMT in coding the filter parameters, following the separation of speech from the excitation via homomorphic deconvolution. BMT fundamentals, details of a BMT driven speech coder, including related subsidiary improvements, together with some listening tests and comparisons.

show abstract

Coefficient sensitivity of state-space digital filters derived using balanced model truncation

Cited by 2 publications

References 2 publications

Discrete-time modelling of musical instruments

Discrete-time modelling of musical instruments

Speech coding via Balanced Model Truncation-a novel approach

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