---
_id: '58492'
abstract:
- lang: eng
  text: A coupled finite plasticity ductile damage and failure model is proposed for
    the finite element simulation of clinch joining, which incorporates stress-state
    dependency and regularisation by gradient-enhancement of the damage variable.
    Ductile damage is determined based on a failure indicator governed by a failure
    surface in stress space. The latter is exemplary chosen as a combination of the
    Hosford–Coulomb and Cockcroft–Latham–Oh failure criteria for the high and low
    stress triaxiality range, respectively, to cover the wide stress range encountered
    in forming. Damage is coupled to elasto-plasticity to capture the damage-induced
    degradation of the stiffness and flow stress. This affects the material behaviour
    up to failure, thereby realistically altering the stress state. Consequently,
    especially for highly ductile materials, where substantial necking and localisation
    precede material fracture, the failure prediction is enhanced. The resulting stress
    softening is regularised by gradient-enhancement to obtain mesh-objective results.
    The analysis of a modified punch test experiment emphasises how the damage-induced
    softening effect can strongly alter the actual stress state towards failure. Moreover,
    the impact of successful regularisation is shown, and the applicability of the
    damage and failure model to clinch joining is proven.
article_number: '106026'
article_type: original
author:
- first_name: Johannes
  full_name: Friedlein, Johannes
  last_name: Friedlein
- first_name: Julia
  full_name: Mergheim, Julia
  last_name: Mergheim
- first_name: Paul
  full_name: Steinmann, Paul
  last_name: Steinmann
citation:
  ama: Friedlein J, Mergheim J, Steinmann P. Modelling of stress-state-dependent ductile
    damage with gradient-enhancement exemplified for clinch joining. <i>Journal of
    the Mechanics and Physics of Solids</i>. 2025;196. doi:<a href="https://doi.org/10.1016/j.jmps.2025.106026">10.1016/j.jmps.2025.106026</a>
  apa: Friedlein, J., Mergheim, J., &#38; Steinmann, P. (2025). Modelling of stress-state-dependent
    ductile damage with gradient-enhancement exemplified for clinch joining. <i>Journal
    of the Mechanics and Physics of Solids</i>, <i>196</i>, Article 106026. <a href="https://doi.org/10.1016/j.jmps.2025.106026">https://doi.org/10.1016/j.jmps.2025.106026</a>
  bibtex: '@article{Friedlein_Mergheim_Steinmann_2025, title={Modelling of stress-state-dependent
    ductile damage with gradient-enhancement exemplified for clinch joining}, volume={196},
    DOI={<a href="https://doi.org/10.1016/j.jmps.2025.106026">10.1016/j.jmps.2025.106026</a>},
    number={106026}, journal={Journal of the Mechanics and Physics of Solids}, publisher={Elsevier
    BV}, author={Friedlein, Johannes and Mergheim, Julia and Steinmann, Paul}, year={2025}
    }'
  chicago: Friedlein, Johannes, Julia Mergheim, and Paul Steinmann. “Modelling of
    Stress-State-Dependent Ductile Damage with Gradient-Enhancement Exemplified for
    Clinch Joining.” <i>Journal of the Mechanics and Physics of Solids</i> 196 (2025).
    <a href="https://doi.org/10.1016/j.jmps.2025.106026">https://doi.org/10.1016/j.jmps.2025.106026</a>.
  ieee: 'J. Friedlein, J. Mergheim, and P. Steinmann, “Modelling of stress-state-dependent
    ductile damage with gradient-enhancement exemplified for clinch joining,” <i>Journal
    of the Mechanics and Physics of Solids</i>, vol. 196, Art. no. 106026, 2025, doi:
    <a href="https://doi.org/10.1016/j.jmps.2025.106026">10.1016/j.jmps.2025.106026</a>.'
  mla: Friedlein, Johannes, et al. “Modelling of Stress-State-Dependent Ductile Damage
    with Gradient-Enhancement Exemplified for Clinch Joining.” <i>Journal of the Mechanics
    and Physics of Solids</i>, vol. 196, 106026, Elsevier BV, 2025, doi:<a href="https://doi.org/10.1016/j.jmps.2025.106026">10.1016/j.jmps.2025.106026</a>.
  short: J. Friedlein, J. Mergheim, P. Steinmann, Journal of the Mechanics and Physics
    of Solids 196 (2025).
date_created: 2025-01-31T17:04:12Z
date_updated: 2025-01-31T17:06:22Z
doi: 10.1016/j.jmps.2025.106026
intvolume: '       196'
keyword:
- Finite plasticity
- Ductile damage
- Gradient-enhancement
- Stress-state dependency
- Failure
language:
- iso: eng
project:
- _id: '130'
  grant_number: '418701707'
  name: 'TRR 285: TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen
    Prozessketten'
- _id: '131'
  name: 'TRR 285 - A: TRR 285 - Project Area A'
- _id: '139'
  name: 'TRR 285 – A05: TRR 285 - Subproject A05'
publication: Journal of the Mechanics and Physics of Solids
publication_identifier:
  issn:
  - 0022-5096
publication_status: published
publisher: Elsevier BV
status: public
title: Modelling of stress-state-dependent ductile damage with gradient-enhancement
  exemplified for clinch joining
type: journal_article
user_id: '84990'
volume: 196
year: '2025'
...
---
_id: '57472'
abstract:
- lang: eng
  text: In this paper we introduce, in a Hilbert space setting, a second order dynamical
    system with asymptotically vanishing damping and vanishing Tikhonov regularization
    that approaches a multiobjective optimization problem with convex and differentiable
    components of the objective function. Trajectory solutions are shown to exist
    in finite dimensions. We prove fast convergence of the function values, quantified
    in terms of a merit function. Based on the regime considered, we establish both
    weak and, in some cases, strong convergence of trajectory solutions toward a weak
    Pareto optimal solution. To achieve this, we apply Tikhonov regularization individually
    to each component of the objective function. This work extends results from single
    objective convex optimization into the multiobjective setting.
author:
- first_name: Radu Ioan
  full_name: Bot, Radu Ioan
  last_name: Bot
- first_name: Konstantin
  full_name: Sonntag, Konstantin
  id: '56399'
  last_name: Sonntag
  orcid: https://orcid.org/0000-0003-3384-3496
citation:
  ama: Bot RI, Sonntag K. Inertial dynamics with vanishing Tikhonov regularization
    for multobjective optimization. <i>Journal of Mathematical Analysis and Applications</i>.
    Published online 2025.
  apa: Bot, R. I., &#38; Sonntag, K. (2025). Inertial dynamics with vanishing Tikhonov
    regularization for multobjective optimization. <i>Journal of Mathematical Analysis
    and Applications</i>.
  bibtex: '@article{Bot_Sonntag_2025, title={Inertial dynamics with vanishing Tikhonov
    regularization for multobjective optimization}, journal={Journal of Mathematical
    Analysis and Applications}, author={Bot, Radu Ioan and Sonntag, Konstantin}, year={2025}
    }'
  chicago: Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing
    Tikhonov Regularization for Multobjective Optimization.” <i>Journal of Mathematical
    Analysis and Applications</i>, 2025.
  ieee: R. I. Bot and K. Sonntag, “Inertial dynamics with vanishing Tikhonov regularization
    for multobjective optimization,” <i>Journal of Mathematical Analysis and Applications</i>,
    2025.
  mla: Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing Tikhonov
    Regularization for Multobjective Optimization.” <i>Journal of Mathematical Analysis
    and Applications</i>, 2025.
  short: R.I. Bot, K. Sonntag, Journal of Mathematical Analysis and Applications (2025).
date_created: 2024-11-28T08:58:17Z
date_updated: 2025-10-16T11:56:36Z
ddc:
- '510'
department:
- _id: '101'
- _id: '530'
- _id: '655'
external_id:
  arxiv:
  - '2411.18422'
file:
- access_level: open_access
  content_type: application/pdf
  creator: sonntagk
  date_created: 2024-11-28T08:58:00Z
  date_updated: 2024-11-28T08:58:00Z
  file_id: '57473'
  file_name: Inertial dynamics with vanishing Tikhonov regularization for multobjective
    optimization.pdf
  file_size: 4291134
  relation: main_file
file_date_updated: 2024-11-28T08:58:00Z
has_accepted_license: '1'
keyword:
- Pareto optimization
- Lyapunov analysis
- gradient-like dynamical systems
- inertial dynamics
- asymptotic vanishing damping
- Tikhonov regularization
- strong convergence
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/pdf/2411.18422
oa: '1'
publication: Journal of Mathematical Analysis and Applications
status: public
title: Inertial dynamics with vanishing Tikhonov regularization for multobjective
  optimization
type: journal_article
user_id: '56399'
year: '2025'
...
---
_id: '32447'
abstract:
- lang: eng
  text: 'We present a new gradient-like dynamical system related to unconstrained
    convex smooth multiobjective optimization which involves inertial effects and
    asymptotic vanishing damping. To the best of our knowledge, this system is the
    first inertial gradient-like system for multiobjective optimization problems including
    asymptotic vanishing damping, expanding the ideas previously laid out in [H. Attouch
    and G. Garrigos, Multiobjective Optimization: An Inertial Dynamical Approach to
    Pareto Optima, preprint, arXiv:1506.02823, 2015]. We prove existence of solutions
    to this system in finite dimensions and further prove that its bounded solutions
    converge weakly to weakly Pareto optimal points. In addition, we obtain a convergence
    rate of order \(\mathcal{O}(t^{-2})\) for the function values measured with a
    merit function. This approach presents a good basis for the development of fast
    gradient methods for multiobjective optimization.'
article_type: original
author:
- first_name: Konstantin
  full_name: Sonntag, Konstantin
  id: '56399'
  last_name: Sonntag
  orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: 0000-0002-3389-793X
citation:
  ama: Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-Like
    Systems with Asymptotic Vanishing Damping. <i>SIAM Journal on Optimization</i>.
    2024;34(3):2259-2286. doi:<a href="https://doi.org/10.1137/23M1588512">10.1137/23M1588512</a>
  apa: Sonntag, K., &#38; Peitz, S. (2024). Fast Convergence of Inertial Multiobjective
    Gradient-Like Systems with Asymptotic Vanishing Damping. <i>SIAM Journal on Optimization</i>,
    <i>34</i>(3), 2259–2286. <a href="https://doi.org/10.1137/23M1588512">https://doi.org/10.1137/23M1588512</a>
  bibtex: '@article{Sonntag_Peitz_2024, title={Fast Convergence of Inertial Multiobjective
    Gradient-Like Systems with Asymptotic Vanishing Damping}, volume={34}, DOI={<a
    href="https://doi.org/10.1137/23M1588512">10.1137/23M1588512</a>}, number={3},
    journal={SIAM Journal on Optimization}, publisher={Society for Industrial and
    Applied Mathematics}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024},
    pages={2259–2286} }'
  chicago: 'Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial
    Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” <i>SIAM
    Journal on Optimization</i> 34, no. 3 (2024): 2259–86. <a href="https://doi.org/10.1137/23M1588512">https://doi.org/10.1137/23M1588512</a>.'
  ieee: 'K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-Like
    Systems with Asymptotic Vanishing Damping,” <i>SIAM Journal on Optimization</i>,
    vol. 34, no. 3, pp. 2259–2286, 2024, doi: <a href="https://doi.org/10.1137/23M1588512">10.1137/23M1588512</a>.'
  mla: Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective
    Gradient-Like Systems with Asymptotic Vanishing Damping.” <i>SIAM Journal on Optimization</i>,
    vol. 34, no. 3, Society for Industrial and Applied Mathematics, 2024, pp. 2259–86,
    doi:<a href="https://doi.org/10.1137/23M1588512">10.1137/23M1588512</a>.
  short: K. Sonntag, S. Peitz, SIAM Journal on Optimization 34 (2024) 2259–2286.
date_created: 2022-07-28T11:53:02Z
date_updated: 2024-07-02T09:27:39Z
department:
- _id: '101'
- _id: '655'
doi: 10.1137/23M1588512
intvolume: '        34'
issue: '3'
keyword:
- multiobjective optimization
- Pareto optimization
- Lyapunov analysis
- gradient-likedynamical systems
- inertial dynamics
- asymptotic vanishing damping
- fast convergence
language:
- iso: eng
page: 2259 - 2286
publication: SIAM Journal on Optimization
publication_identifier:
  issn:
  - 1095-7189
publication_status: published
publisher: Society for Industrial and Applied Mathematics
status: public
title: Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic
  Vanishing Damping
type: journal_article
user_id: '56399'
volume: 34
year: '2024'
...
---
_id: '56097'
abstract:
- lang: eng
  text: We contrast different gradient-enhancements for plasticity-damage material
    models in the logarithmic strain space and compare them to reference models based
    on multiplicative plasticity. The models being compared include plasticity - gradient-damage,
    where the gradient-enhancement is applied on the local damage variable, and gradient-plasticity
    - damage with a gradient-enhanced plastic hardening variable. Thereby, gradient-plasticity
    proved to be able to simultaneously regularise plastic and ductile (plasticity-driven)
    damage localisation as confirmed by numerical localisation analyses. This appears
    to be especially advantageous for logarithmic strain space plasticity-damage,
    because of the observed plastic localisation even for the case of plasticity with
    hardening. Even though gradient-plasticity appears to be numerically more demanding,
    two numerical examples indicate a good robustness and mesh objectivity in the
    softening regime. Moreover, the internal length for plasticity is able to adjust
    the damage zone width, similarly to gradient-damage, however ensuring a priori
    that damage takes place exclusively inside the plastic zone.
article_number: '104946'
article_type: original
author:
- first_name: Johannes
  full_name: Friedlein, Johannes
  last_name: Friedlein
- first_name: Julia
  full_name: Mergheim, Julia
  last_name: Mergheim
- first_name: Paul
  full_name: Steinmann, Paul
  last_name: Steinmann
citation:
  ama: Friedlein J, Mergheim J, Steinmann P. Efficient gradient enhancements for plasticity
    with ductile damage in the logarithmic strain space. <i>European Journal of Mechanics
    - A/Solids</i>. 2023;99. doi:<a href="https://doi.org/10.1016/j.euromechsol.2023.104946">10.1016/j.euromechsol.2023.104946</a>
  apa: Friedlein, J., Mergheim, J., &#38; Steinmann, P. (2023). Efficient gradient
    enhancements for plasticity with ductile damage in the logarithmic strain space.
    <i>European Journal of Mechanics - A/Solids</i>, <i>99</i>, Article 104946. <a
    href="https://doi.org/10.1016/j.euromechsol.2023.104946">https://doi.org/10.1016/j.euromechsol.2023.104946</a>
  bibtex: '@article{Friedlein_Mergheim_Steinmann_2023, title={Efficient gradient enhancements
    for plasticity with ductile damage in the logarithmic strain space}, volume={99},
    DOI={<a href="https://doi.org/10.1016/j.euromechsol.2023.104946">10.1016/j.euromechsol.2023.104946</a>},
    number={104946}, journal={European Journal of Mechanics - A/Solids}, publisher={Elsevier
    BV}, author={Friedlein, Johannes and Mergheim, Julia and Steinmann, Paul}, year={2023}
    }'
  chicago: Friedlein, Johannes, Julia Mergheim, and Paul Steinmann. “Efficient Gradient
    Enhancements for Plasticity with Ductile Damage in the Logarithmic Strain Space.”
    <i>European Journal of Mechanics - A/Solids</i> 99 (2023). <a href="https://doi.org/10.1016/j.euromechsol.2023.104946">https://doi.org/10.1016/j.euromechsol.2023.104946</a>.
  ieee: 'J. Friedlein, J. Mergheim, and P. Steinmann, “Efficient gradient enhancements
    for plasticity with ductile damage in the logarithmic strain space,” <i>European
    Journal of Mechanics - A/Solids</i>, vol. 99, Art. no. 104946, 2023, doi: <a href="https://doi.org/10.1016/j.euromechsol.2023.104946">10.1016/j.euromechsol.2023.104946</a>.'
  mla: Friedlein, Johannes, et al. “Efficient Gradient Enhancements for Plasticity
    with Ductile Damage in the Logarithmic Strain Space.” <i>European Journal of Mechanics
    - A/Solids</i>, vol. 99, 104946, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.euromechsol.2023.104946">10.1016/j.euromechsol.2023.104946</a>.
  short: J. Friedlein, J. Mergheim, P. Steinmann, European Journal of Mechanics -
    A/Solids 99 (2023).
date_created: 2024-09-10T15:23:49Z
date_updated: 2026-02-24T14:37:05Z
doi: 10.1016/j.euromechsol.2023.104946
intvolume: '        99'
keyword:
- Finite plasticity
- Logarithmic strain space
- Ductile damage
- Gradient-enhancement
- Gradient-plasticity
- Gradient-damage
- Loss of ellipticity
language:
- iso: eng
project:
- _id: '130'
  name: 'TRR 285: TRR 285'
- _id: '131'
  name: 'TRR 285 - A: TRR 285 - Project Area A'
- _id: '139'
  name: 'TRR 285 – A05: TRR 285 - Subproject A05'
- _id: '130'
  name: 'TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen
    Prozessketten'
publication: European Journal of Mechanics - A/Solids
publication_identifier:
  issn:
  - 0997-7538
publication_status: published
publisher: Elsevier BV
status: public
title: Efficient gradient enhancements for plasticity with ductile damage in the logarithmic
  strain space
type: journal_article
user_id: '84990'
volume: 99
year: '2023'
...
---
_id: '23431'
abstract:
- lang: eng
  text: As an effective and accurate method for modelling composite materials, mean-field
    homogenization is still not well studied in modelling non-linear and damage behaviours
    of UD composites. Investigated micro FE-simulations show that the matrix of UD
    composites exhibits different average plastic behaviour, named as average asymmetric
    matrix plasticity (AAMP), when the composite behaves different under shear, longitudinal
    and transverse loadings. In this study, a non-linear mean-field debonding model
    (NMFDM) combining a mean-field model and a fibre–matrix interface debonding model,
    is developed to simulate UD composites under consideration of AAMP, fibre–matrix
    interface damage and progressive failure. AAMP is considered by using so-called
    stress mode factor, which is expressed in terms of basic invariants of the matrix
    deviatoric stress tensor and is used as an indicator for detection of differences
    in the loading mode. The material behaviour of UD composites with imperfect interface
    is assumed identical as for perfect interface and stiffness reduced fibres. Progressive
    failure criteria are established with consideration of fibre breakage and matrix
    crack for different fibre orientations. As a representative example for the NMFDM,
    a C30/E201 UD composite is studied. To verify the model, experiments are conducted
    on polymers, carbon fibres and UD CFRPs. Finally, the model is applied to simulate
    a perforated CFRP laminate, which shows excellent prediction ability on deformation,
    debonding and progressive failure.
article_number: '109209'
author:
- first_name: C.
  full_name: Cheng, C.
  last_name: Cheng
- first_name: Z.
  full_name: Wang, Z.
  last_name: Wang
- first_name: Z.
  full_name: Jin, Z.
  last_name: Jin
- first_name: X.
  full_name: Ju, X.
  last_name: Ju
- first_name: Swetlana
  full_name: Schweizer, Swetlana
  id: '8938'
  last_name: Schweizer
- first_name: Thomas
  full_name: Tröster, Thomas
  id: '553'
  last_name: Tröster
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: 'Cheng C, Wang Z, Jin Z, et al. Non-linear mean-field modelling of UD composite
    laminates accounting for average asymmetric plasticity of the matrix, debonding
    and progressive failure. <i>Composites Part B: Engineering</i>. 2021;224. doi:<a
    href="https://doi.org/10.1016/j.compositesb.2021.109209">10.1016/j.compositesb.2021.109209</a>'
  apa: 'Cheng, C., Wang, Z., Jin, Z., Ju, X., Schweizer, S., Tröster, T., &#38; Mahnken,
    R. (2021). Non-linear mean-field modelling of UD composite laminates accounting
    for average asymmetric plasticity of the matrix, debonding and progressive failure.
    <i>Composites Part B: Engineering</i>, <i>224</i>, Article 109209. <a href="https://doi.org/10.1016/j.compositesb.2021.109209">https://doi.org/10.1016/j.compositesb.2021.109209</a>'
  bibtex: '@article{Cheng_Wang_Jin_Ju_Schweizer_Tröster_Mahnken_2021, title={Non-linear
    mean-field modelling of UD composite laminates accounting for average asymmetric
    plasticity of the matrix, debonding and progressive failure}, volume={224}, DOI={<a
    href="https://doi.org/10.1016/j.compositesb.2021.109209">10.1016/j.compositesb.2021.109209</a>},
    number={109209}, journal={Composites Part B: Engineering}, author={Cheng, C. and
    Wang, Z. and Jin, Z. and Ju, X. and Schweizer, Swetlana and Tröster, Thomas and
    Mahnken, Rolf}, year={2021} }'
  chicago: 'Cheng, C., Z. Wang, Z. Jin, X. Ju, Swetlana Schweizer, Thomas Tröster,
    and Rolf Mahnken. “Non-Linear Mean-Field Modelling of UD Composite Laminates Accounting
    for Average Asymmetric Plasticity of the Matrix, Debonding and Progressive Failure.”
    <i>Composites Part B: Engineering</i> 224 (2021). <a href="https://doi.org/10.1016/j.compositesb.2021.109209">https://doi.org/10.1016/j.compositesb.2021.109209</a>.'
  ieee: 'C. Cheng <i>et al.</i>, “Non-linear mean-field modelling of UD composite
    laminates accounting for average asymmetric plasticity of the matrix, debonding
    and progressive failure,” <i>Composites Part B: Engineering</i>, vol. 224, Art.
    no. 109209, 2021, doi: <a href="https://doi.org/10.1016/j.compositesb.2021.109209">10.1016/j.compositesb.2021.109209</a>.'
  mla: 'Cheng, C., et al. “Non-Linear Mean-Field Modelling of UD Composite Laminates
    Accounting for Average Asymmetric Plasticity of the Matrix, Debonding and Progressive
    Failure.” <i>Composites Part B: Engineering</i>, vol. 224, 109209, 2021, doi:<a
    href="https://doi.org/10.1016/j.compositesb.2021.109209">10.1016/j.compositesb.2021.109209</a>.'
  short: 'C. Cheng, Z. Wang, Z. Jin, X. Ju, S. Schweizer, T. Tröster, R. Mahnken,
    Composites Part B: Engineering 224 (2021).'
date_created: 2021-08-18T06:20:21Z
date_updated: 2025-06-06T08:08:32Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
- _id: '149'
doi: 10.1016/j.compositesb.2021.109209
intvolume: '       224'
keyword:
- Non-linear mean-field homogenization Average asymmetric plasticity of matrix Fibre–matrix
  interface debonding Micro-mechanical FE-simulation Progressive failure
language:
- iso: eng
publication: 'Composites Part B: Engineering'
publication_identifier:
  issn:
  - 1359-8368
publication_status: published
quality_controlled: '1'
status: public
title: Non-linear mean-field modelling of UD composite laminates accounting for average
  asymmetric plasticity of the matrix, debonding and progressive failure
type: journal_article
user_id: '15952'
volume: 224
year: '2021'
...
---
_id: '11927'
abstract:
- lang: eng
  text: Maximizing the output signal-to-noise ratio (SNR) of a sensor array in the
    presence of spatially colored noise leads to a generalized eigenvalue problem.
    While this approach has extensively been employed in narrowband (antenna) array
    beamforming, it is typically not used for broadband (microphone) array beamforming
    due to the uncontrolled amount of speech distortion introduced by a narrowband
    SNR criterion. In this paper, we show how the distortion of the desired signal
    can be controlled by a single-channel post-filter, resulting in a performance
    comparable to the generalized minimum variance distortionless response beamformer,
    where arbitrary transfer functions relate the source and the microphones. Results
    are given both for directional and diffuse noise. A novel gradient ascent adaptation
    algorithm is presented, and its good convergence properties are experimentally
    revealed by comparison with alternatives from the literature. A key feature of
    the proposed beamformer is that it operates blindly, i.e., it neither requires
    knowledge about the array geometry nor an explicit estimation of the transfer
    functions from source to sensors or the direction-of-arrival.
author:
- first_name: Ernst
  full_name: Warsitz, Ernst
  last_name: Warsitz
- first_name: Reinhold
  full_name: Haeb-Umbach, Reinhold
  id: '242'
  last_name: Haeb-Umbach
citation:
  ama: Warsitz E, Haeb-Umbach R. Blind Acoustic Beamforming Based on Generalized Eigenvalue
    Decomposition. <i>IEEE Transactions on Audio, Speech, and Language Processing</i>.
    2007;15(5):1529-1539. doi:<a href="https://doi.org/10.1109/TASL.2007.898454">10.1109/TASL.2007.898454</a>
  apa: Warsitz, E., &#38; Haeb-Umbach, R. (2007). Blind Acoustic Beamforming Based
    on Generalized Eigenvalue Decomposition. <i>IEEE Transactions on Audio, Speech,
    and Language Processing</i>, <i>15</i>(5), 1529–1539. <a href="https://doi.org/10.1109/TASL.2007.898454">https://doi.org/10.1109/TASL.2007.898454</a>
  bibtex: '@article{Warsitz_Haeb-Umbach_2007, title={Blind Acoustic Beamforming Based
    on Generalized Eigenvalue Decomposition}, volume={15}, DOI={<a href="https://doi.org/10.1109/TASL.2007.898454">10.1109/TASL.2007.898454</a>},
    number={5}, journal={IEEE Transactions on Audio, Speech, and Language Processing},
    author={Warsitz, Ernst and Haeb-Umbach, Reinhold}, year={2007}, pages={1529–1539}
    }'
  chicago: 'Warsitz, Ernst, and Reinhold Haeb-Umbach. “Blind Acoustic Beamforming
    Based on Generalized Eigenvalue Decomposition.” <i>IEEE Transactions on Audio,
    Speech, and Language Processing</i> 15, no. 5 (2007): 1529–39. <a href="https://doi.org/10.1109/TASL.2007.898454">https://doi.org/10.1109/TASL.2007.898454</a>.'
  ieee: E. Warsitz and R. Haeb-Umbach, “Blind Acoustic Beamforming Based on Generalized
    Eigenvalue Decomposition,” <i>IEEE Transactions on Audio, Speech, and Language
    Processing</i>, vol. 15, no. 5, pp. 1529–1539, 2007.
  mla: Warsitz, Ernst, and Reinhold Haeb-Umbach. “Blind Acoustic Beamforming Based
    on Generalized Eigenvalue Decomposition.” <i>IEEE Transactions on Audio, Speech,
    and Language Processing</i>, vol. 15, no. 5, 2007, pp. 1529–39, doi:<a href="https://doi.org/10.1109/TASL.2007.898454">10.1109/TASL.2007.898454</a>.
  short: E. Warsitz, R. Haeb-Umbach, IEEE Transactions on Audio, Speech, and Language
    Processing 15 (2007) 1529–1539.
date_created: 2019-07-12T05:30:57Z
date_updated: 2022-01-06T06:51:12Z
department:
- _id: '54'
doi: 10.1109/TASL.2007.898454
intvolume: '        15'
issue: '5'
keyword:
- acoustic signal processing
- arbitrary transfer function
- array signal processing
- blind acoustic beamforming
- direction-of-arrival
- direction-of-arrival estimation
- eigenvalues and eigenfunctions
- generalized eigenvalue decomposition
- gradient ascent adaptation algorithm
- microphone arrays
- microphones
- narrowband array beamforming
- sensor array
- single-channel post-filter
- spatially colored noise
- transfer functions
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://groups.uni-paderborn.de/nt/pubs/2007/WaHa07.pdf
oa: '1'
page: 1529-1539
publication: IEEE Transactions on Audio, Speech, and Language Processing
status: public
title: Blind Acoustic Beamforming Based on Generalized Eigenvalue Decomposition
type: journal_article
user_id: '44006'
volume: 15
year: '2007'
...
---
_id: '11930'
abstract:
- lang: eng
  text: For human-machine interfaces in distant-talking environments multichannel
    signal processing is often employed to obtain an enhanced signal for subsequent
    processing. In this paper we propose a novel adaptation algorithm for a filter-and-sum
    beamformer to adjust the coefficients of FIR filters to changing acoustic room
    impulses, e.g. due to speaker movement. A deterministic and a stochastic gradient
    ascent algorithm are derived from a constrained optimization problem, which iteratively
    estimates the eigenvector corresponding to the largest eigenvalue of the cross
    power spectral density of the microphone signals. The method does not require
    an explicit estimation of the speaker location. The experimental results show
    fast adaptation and excellent robustness of the proposed algorithm.
author:
- first_name: Ernst
  full_name: Warsitz, Ernst
  last_name: Warsitz
- first_name: Reinhold
  full_name: Haeb-Umbach, Reinhold
  id: '242'
  last_name: Haeb-Umbach
citation:
  ama: 'Warsitz E, Haeb-Umbach R. Acoustic filter-and-sum beamforming by adaptive
    principal component analysis. In: <i>IEEE International Conference on Acoustics,
    Speech and Signal Processing (ICASSP 2005)</i>. Vol 4. ; 2005:iv/797-iv/800 Vol.
    4. doi:<a href="https://doi.org/10.1109/ICASSP.2005.1416129">10.1109/ICASSP.2005.1416129</a>'
  apa: Warsitz, E., &#38; Haeb-Umbach, R. (2005). Acoustic filter-and-sum beamforming
    by adaptive principal component analysis. In <i>IEEE International Conference
    on Acoustics, Speech and Signal Processing (ICASSP 2005)</i> (Vol. 4, p. iv/797-iv/800
    Vol. 4). <a href="https://doi.org/10.1109/ICASSP.2005.1416129">https://doi.org/10.1109/ICASSP.2005.1416129</a>
  bibtex: '@inproceedings{Warsitz_Haeb-Umbach_2005, title={Acoustic filter-and-sum
    beamforming by adaptive principal component analysis}, volume={4}, DOI={<a href="https://doi.org/10.1109/ICASSP.2005.1416129">10.1109/ICASSP.2005.1416129</a>},
    booktitle={IEEE International Conference on Acoustics, Speech and Signal Processing
    (ICASSP 2005)}, author={Warsitz, Ernst and Haeb-Umbach, Reinhold}, year={2005},
    pages={iv/797-iv/800 Vol. 4} }'
  chicago: Warsitz, Ernst, and Reinhold Haeb-Umbach. “Acoustic Filter-and-Sum Beamforming
    by Adaptive Principal Component Analysis.” In <i>IEEE International Conference
    on Acoustics, Speech and Signal Processing (ICASSP 2005)</i>, 4:iv/797-iv/800
    Vol. 4, 2005. <a href="https://doi.org/10.1109/ICASSP.2005.1416129">https://doi.org/10.1109/ICASSP.2005.1416129</a>.
  ieee: E. Warsitz and R. Haeb-Umbach, “Acoustic filter-and-sum beamforming by adaptive
    principal component analysis,” in <i>IEEE International Conference on Acoustics,
    Speech and Signal Processing (ICASSP 2005)</i>, 2005, vol. 4, p. iv/797-iv/800
    Vol. 4.
  mla: Warsitz, Ernst, and Reinhold Haeb-Umbach. “Acoustic Filter-and-Sum Beamforming
    by Adaptive Principal Component Analysis.” <i>IEEE International Conference on
    Acoustics, Speech and Signal Processing (ICASSP 2005)</i>, vol. 4, 2005, p. iv/797-iv/800
    Vol. 4, doi:<a href="https://doi.org/10.1109/ICASSP.2005.1416129">10.1109/ICASSP.2005.1416129</a>.
  short: 'E. Warsitz, R. Haeb-Umbach, in: IEEE International Conference on Acoustics,
    Speech and Signal Processing (ICASSP 2005), 2005, p. iv/797-iv/800 Vol. 4.'
date_created: 2019-07-12T05:31:00Z
date_updated: 2022-01-06T06:51:12Z
department:
- _id: '54'
doi: 10.1109/ICASSP.2005.1416129
intvolume: '         4'
keyword:
- acoustic filter-and-sum beamforming
- acoustic room impulses
- acoustic signal processing
- adaptive principal component analysis
- adaptive signal processing
- architectural acoustics
- constrained optimization problem
- cross power spectral density
- deterministic algorithm
- deterministic algorithms
- distant-talking environments
- eigenvalues and eigenfunctions
- eigenvector
- enhanced signal
- filter-and-sum beamformer
- FIR filter coefficients
- FIR filter coefficients
- FIR filters
- gradient methods
- human-machine interfaces
- iterative estimation
- iterative methods
- largest eigenvalue
- microphone signals
- multichannel signal processing
- optimisation
- principal component analysis
- spectral analysis
- stochastic gradient ascent algorithm
- stochastic processes
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://groups.uni-paderborn.de/nt/pubs/2005/WaHa05.pdf
oa: '1'
page: iv/797-iv/800 Vol. 4
publication: IEEE International Conference on Acoustics, Speech and Signal Processing
  (ICASSP 2005)
status: public
title: Acoustic filter-and-sum beamforming by adaptive principal component analysis
type: conference
user_id: '44006'
volume: 4
year: '2005'
...
