An Efficient Structure for the Design of Variable Fractional Delay Filters Based on the Windowing Method

Selva, J.

doi:10.1109/tsp.2008.920148

Cited by 40 publications

(42 citation statements)

References 17 publications

(3 reference statements)

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“…However, independent from N, the performance degrades due Gibbs phenomena as the Nyquist frequency is approached [13]. The approximation of an ideal fractional delay can be improved by introducing a tapered winod [4], [7], such as a Hann window…”

Section: B Windowed Sinc Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Filter bank based fractional delay filter implementation for widely accurate broadband steering vectors

Alrmah

Weiss

2013

2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)

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This version is available at https://strathprints.strath.ac.uk/46611/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. Abstract-Applications such as broadband angle of arrival estimation require the implementation of accurate broadband steering vectors, which generally rely on fractional delay filter designs. These designs commonly exhibit a rapidly decreasing performance as the Nyquist rate is approached. To overcome this, we propose a filter bank based approach, where standard fractional delay filters operate on a series of frequency-shifted oversampled subband signals, such that they appear in the filter's lowpass region. Simulations demonstrate the appeal of this approach.

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Section: B Windowed Sinc Methodsmentioning

confidence: 99%

“…In order to enhance the fractional delay filters' performance, tapered instead of rectangular windows have been proposed to truncate the sinc function [4], [7], leading to a lower group delay ripple. A polynomial approximation approach was introduced by Farrow [8], which, at a modest filter order, provides relatively good accuracy.…”

Section: Introductionmentioning

confidence: 99%

Filter bank based fractional delay filter implementation for widely accurate broadband steering vectors

Alrmah

Weiss

2013

2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)

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“…The implementation of broadband steering vectors can be achieved with filters of reasonable order if windowing (Selva, 2008) or other schemes such as in are employed. The result of the polynomial MUSIC algorithm in (13) is a power spectral density-type term, which can either be evaluated in terms of its total energy, thus depending on the angle of arrival only, or additionally resolve frequency.…”

Section: Polynomial Musicmentioning

confidence: 99%

“…The construction of w q (z) is such that its order (and therefore computational complexity) is determined by the accuracy that is required of the fractional delay filters (Laakso et al, 1996;Selva, 2008). The blocking matrix can then be determined by polynomial matrix completion from a polynomial EVD of w q (z)w P q (z) .…”

Section: Polynomial Generalised Sidelobe Cancellermentioning

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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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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“…Other alternatives exist, such as Farrow filters [8]. In general, fractional delay filters cannot provide good accuracy towards f s /2, but tapered windows for sinc functions [17] or the use of filter banks [1] can provide suitable implementations. We here use the proposition in [17] and apply a raised cosine or Hann window of length 2L to the sinc, such that…”

Section: Broadband Steering Vectorsmentioning

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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An Efficient Structure for the Design of Variable Fractional Delay Filters Based on the Windowing Method

Abstract: On the properties of information matrices of deltaoperator based adaptive signal processing algorithms," IEEE Trans.

Cited by 40 publications

References 17 publications

Filter bank based fractional delay filter implementation for widely accurate broadband steering vectors

Filter bank based fractional delay filter implementation for widely accurate broadband steering vectors

Extending Narrowband Descriptions and Optimal Solutions to Broadband Sensor Arrays

Adaptive broadband beamforming with arbitrary array geometry

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