Design of robust superdirective beamformers as a convex optimization problem

Mabande, Edwin; Schad, Adrian; Kellermann, Walter

doi:10.1109/icassp.2009.4959524

Cited by 92 publications

(86 citation statements)

References 4 publications

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“…where b steer ( f p ) denotes the value of the directivity pattern in steer direction [7]. A high value of the WNG A( f p ) > 1 corresponds to a robust beamforming design, whereas a small value A( f p ) < 1 effectively corresponds to an amplification of spatial white noise [7].…”

Section: Robustness and White Noise Gainmentioning

confidence: 99%

“…where the directivity pattern is an [7]. All bold variables are either vectors or matrices in the remainder of this manuscript.…”

Section: Beamformingmentioning

confidence: 99%

“…2π f c x n cos(φ) (2) where c is the speed of sound and x n represents the distance of the n-th microphone to the center of the array [7].…”

Section: Beamformingmentioning

confidence: 99%

“…The directivity pattern b( f , φ) of a linear discrete microphone array, consisting of N microphones, is calculated as follows [7]:…”

Section: Beamformingmentioning

confidence: 99%

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Stereophonic Microphone Array for the Recording of the Direct Sound Field in a Reverberant Environment

Gößwein¹,

Grosse²,

Par³

2017

Applied Sciences

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State-of-the-art stereo recording techniques using two microphones have two main disadvantages: first, a limited reduction of the reverberation in the direct sound component, and second, compression or expansion of the angular position of sound sources. To address these disadvantages, the aim of this study is the development of a true stereo recording microphone array that aims to record the direct and reverberant sound field separately. This array can be used within the recording and playback configuration developed in Grosse and van de Par, 2015. Instead of using only two microphones, the proposed method combines two logarithmically-spaced microphone arrays, whose directivity patterns are optimized with a superdirective beamforming algorithm. The optimization allows us to have a better control of the overall beam pattern and of interchannel level differences. A comparison between the newly-proposed system and existing microphone techniques shows a lower percentage of the recorded reverberance within the sound field.

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Section: Robustness and White Noise Gainmentioning

confidence: 99%

“…where the directivity pattern is an [7]. All bold variables are either vectors or matrices in the remainder of this manuscript.…”

Section: Beamformingmentioning

confidence: 99%

See 2 more Smart Citations

Stereophonic Microphone Array for the Recording of the Direct Sound Field in a Reverberant Environment

Gößwein¹,

Grosse²,

Par³

2017

Applied Sciences

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“…Furthermore, as evident from earlier designs for superdirective narrowband arrays [12]- [16], broadband beamformers designed for physically-compact applications can likewise become very sensitive to errors in array imperfections and therefore robustness constraints need to be incorporated in the design [3,17]- [23]. In [17]- [21], the statistics of microphone characteristics are taken into account to derive broadband beamformers that are robust to microphone mismatches, while in [3,22,23] the white noise gain (WNG) is incorporated in the design to ensure that the beamformer is robust to spatial white noise and array imperfections. The use of the WNG constraint is not new and has been used in earlier beamformer designs to ensure robustness in superdirective beamformers [12]- [14].…”

Section: Introductionmentioning

confidence: 99%

Design of minimax robust broadband beamformers with optimized microphone positions

Nongpiur¹

2014

Digital Signal Processing

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A new method for the design of robust minimax far-field broadband beamformers with optimized microphone positions is proposed. The method is formulated as an iterative optimization problem where the maximum passband 1 magnitude response error is minimized and the microphone positions are optimized while ensuring that the minimum stopband attenuation is above a prescribed level. To maintain robustness, we constrain a sensitivity parameter, namely, the white noise gain, to be above prescribed levels across the frequency band. An additional feature of the method, which is quite useful in certain applications, is that it provides the capability of constraining the gain in the transition band to always lie below the maximum gain in the passband. Performance comparisons with existing methods show that the optimization of the microphone positions results in beamformers with superior performance.

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CVX-Optimized Beamforming and Vector Taylor Series Compensation with German ASR Employing Star-Shaped Microphone Array

Morales-Cordovilla

Pessentheiner

Hagmüller

et al. 2014

Advances in Speech and Language Technologies for Iberian Languages

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Design of robust superdirective beamformers as a convex optimization problem

Cited by 92 publications

References 4 publications

Stereophonic Microphone Array for the Recording of the Direct Sound Field in a Reverberant Environment

Stereophonic Microphone Array for the Recording of the Direct Sound Field in a Reverberant Environment

Design of minimax robust broadband beamformers with optimized microphone positions

CVX-Optimized Beamforming and Vector Taylor Series Compensation with German ASR Employing Star-Shaped Microphone Array

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