Robust Transmit Nulling in Wideband Arrays

Vouras, Peter; Tran, Trac D.

doi:10.1109/tsp.2014.2329653

Cited by 19 publications

(11 citation statements)

References 23 publications

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“…This has lead to the exploration of a number of applications besides the angle of arrival and beamforming examples summarised on this paper. Successful applications have, for example, targetted for example in denoising-type or decorrelating array pre-processors (Koh et al, 2009), transmit and receive beamforming across broadband MIMO channels (Davies et al, 2007;Ta and Weiss, 2007a;Sandmann et al, 2015;Ahrens et al, 2017), broadband angle of arrival estimation (Alrmah et al, 2011;Weiss et al, 2013), optimum subband partitioning of beamformers (Vouras and Tran, 2014), filter bank-based channel coding (Weiss et al, 2006) or broadband blind source separation (Redif et al, 2017). In some cases the polynomial approach can enable solutions that otherwise have been unobtainable: e.g.…”

Section: Discussionmentioning

confidence: 99%

“…Over the past decade, a number of algorithms have emerged that implement a polynomial EVD Redif et al, 2011;Tohidian et al, 2013;Corr et al, 2014c;Redif et al, 2015;Wang et al, 2015a), and also triggered a range of applications in the area of filter banks (Redif et al, 2011;Weiss et al, 2006), beamforming Koh et al, 2009;Alrmah et al, 2011;Weiss et al, 2013;Vouras and Tran, 2014;Weiss et al, 2015;Alzin et al, 2016), communications (Weiss et al, 2006;Davies et al, 2007;Ta and Weiss, 2007a;Sandmann et al, 2015;Ahrens et al, 2017), or generic theoretical problems such as blind source separation (Redif et al, 2017) or spectral factorisation (Wang et al, 2015b).…”

Section: Introductionmentioning

confidence: 99%

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Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays

Weiss¹

2018

Proceedings of the 8th International Joint Conference on Pervasive and Embedded Computing and Communication Systems

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Abstract:This overview paper motivates the description of broadband sensor array problems by polynomial matrices, directly extending notation that is familiar from the characterisation of narrowband problems. To admit optimal solutions, the approach relies on extending the utility of the eigen-and singular value decompositions, by finding decompositions of such polynomial matrices. Particularly the factorisation of parahermitian polynomial matrices -including space-time covariance matrices that model the second order statistics of broadband sensor array data -is important. The paper summarises recent findings on the existence and uniqueness of the eigenvalue decomposition of such parahermitian polynomial matrices, demonstrates some algorithms that implement such factorisations, and highlights key applications where such techniques can provide advantages over state-of-the-art solutions.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays

Weiss¹

2018

Proceedings of the 8th International Joint Conference on Pervasive and Embedded Computing and Communication Systems

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“…For such quantities, narrowband techniques such as EVD and SVD have been extended to polynomials, with applications in denoising-type [3] or decorrelating preprocessors [4], transmit and receive beamforming across broadband MIMO channels [5,6], broadband angle of arrival estimation [7], and for optimum subband partitioning of beamformers [8].…”

Section: Introductionmentioning

confidence: 99%

MVDR broadband beamforming using polynomial matrix techniques

Weiss

Bendoukha

Alzin

et al. 2015

2015 23rd European Signal Processing Conference (EUSIPCO)

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This paper presents initial progress on formulating minimum variance distortionless response (MVDR) broadband beamforming using a generalised sidelobe canceller (GSC) in the context of polynomial matrix techniques. The quiescent vector is defined as a broadband steering vector, and we propose a blocking matrix design obtained by paraunitary matrix completion. The polynomial approach decouples the spatial and temporal orders of the filters in the blocking matrix, and decouples the adaptive filter order from the construction of the blocking matrix. For off-broadside constraints the polynomial approach is simple, and more accurate and considerably less costly than a standard time domain broadband GSC.

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“…Narrowband techniques such as eigenvalue (EVD ) and singular value decomposition (SVD) have been extended to cover the polynomial matrix case [6,20,10]. Algorithms for a polynomial EVD [10,13,14] have been driving forward applications in denoising-type [12] or decorrelating preprocessors [7] for beamforming, transmit and receive beamforming across broadband MIMO channels [4,18], broadband angle of arrival estimation [2], and for optimum subband partitioning of beamformers [22].…”

Section: Introductionmentioning

confidence: 99%

Adaptive broadband beamforming with arbitrary array geometry

Alzin¹,

Coutts²,

Corr³

et al. 2015

2nd IET International Conference on Intelligent Signal Processing 2015 (ISP)

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This paper expands on a recent polynomial matrix formulation for a minimum variance distortionless response (MVDR) broadband beamformer. Within the polynomial matrix framework, this beamformer is a straightforward extension from the narrowband case, and offers advantages in terms of complexity and robustness particularly for off-broadside constraints. Here, we focus on arbitrary 3-dimensional array configurations of no particular structure, where the straightforward formulation and incorporation of constraints is demonstrated in simulations, and the beamformer accurately maintains its look direction while nulling out interferers.

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Robust Transmit Nulling in Wideband Arrays

Cited by 19 publications

References 23 publications

Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays

Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays

MVDR broadband beamforming using polynomial matrix techniques

Adaptive broadband beamforming with arbitrary array geometry

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