An alternative approach to interpolated array processing for uniform circular arrays

Cook, Gregory J.; Lau, Buon Kiong; Leung, Yee Hong

doi:10.1109/apccas.2002.1114982

Cited by 8 publications

(4 citation statements)

References 6 publications

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“…The approach of interpolated arrays was initialy proposed in [2] and was later extended in [3,4,5]. This approach builds a virtual array configuration (e.g., an ULA) through the interpolation of an arbitrary array geometry.…”

Section: Introductionmentioning

confidence: 99%

Optimized spatial resampling for microphone array beamforming

Lin

Grand²,

Tassart³

et al. 2011

2011 IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC)

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Due to the specialty of portable devices, the microphone array configurations usually depend on the device manufacturing constraints, and thus are various and generally irregular. It is then more difficult for the algorithm designers to establish a generic processing. The main contribution of this paper is an optimized spatial resampling procedure for beamforming with irregular 3-D sensor arrays. Beam pattern analysis show that, via spatial resampling, it is possible to apply beamformer coefficients designed for Uniform Linear Array (ULA) to signals captured by arrays having arbitrary configurations and thus carry out beamforming and spatial filtering in both azimuth and zenith directions. Moreover, this algorithm may benefit to other multi-sensor audio processing methods that require specific sensor array configuration.

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Section: Introductionmentioning

confidence: 99%

Optimized spatial resampling for microphone array beamforming

Lin

Grand²,

Tassart³

et al. 2011

2011 IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC)

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“…Currently, there are two popular approaches to transform the steering vector of a UCA to Vandermonde form. The interpolated array approach, first proposed by Bronez [7], and later, under different formulations, by Friedlander [8], Pesavento et al [9], and Cook et al [10]- [12], involves fitting the steering vector of the UCA to that of a ULA 1 over an angular sector in the azimuth. Thus, it involves sector-by-sector processing, which can be inconvenient.…”

Section: Transformations For Nonideal Uniform Circularmentioning

confidence: 99%

“…Problem subject to (10) where denotes the Frobenius norm, and denotes the vector of complex absolute value norms defined by (11) where and is the th element of . The salient feature of the above formulation is that the rows of are not coupled.…”

Section: B Problem Statementmentioning

confidence: 99%

Transformations for nonideal uniform circular arrays operating in correlated signal environments

Lau

Leung

Liu

et al. 2006

IEEE Trans. Signal Process.

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Abstract-The Davies transformation is a method to transform the steering vector of a uniform circular array (UCA) to one with Vandermonde form. As such, it allows techniques such as spatial smoothing for direction-of-arrival (DOA) estimation in a correlated signal environment, developed originally for uniform linear arrays, to be applied to UCAs. However, the Davies transformation can be highly sensitive to perturbations of the underlying array model. This paper presents a method for deriving a more robust transformation using optimization techniques. The effectiveness of the method is illustrated through a number of DOA estimation examples.Index Terms-Correlated signals, direction-of-arrival (DOA) estimation, quadratic semi-infinite programming, robustness, uniform circular arrays (UCAs).

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“…The work emphasizes the processing of signals arriving at uniform linear array structures. It can be extended to multidimensional array processing structures through the use of Kronecker array algebra techniques [3]. Changes of the electric and magnetic fields in space and time can be modeled, far of the source, as a sinusoidal plane wave canying a certain amount of energy, and propagating with a constant velocity away from de source.…”

Section: Basic Conceptsmentioning

confidence: 99%

A kroneeker DFT multi-beamforming implementation approach

Quinchanegua

Rodriguez

3rd International Symposium on Image and Signal Processing and Analysis, 2003. ISPA 2003. Proceedings of The

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This ivork presents a new methodology for the hardware implementation of Multi-beurwforming algorithms based on Kronecker products compositions. This new melhodology is based on a signal algebra operator-theoretic approach for the mathematical formulation of signal processing algorithms and efticient systematic procedures for mapping these algorithms to target hardware computing strucrures through iconic and firnctional programming techniques, and automatic core generation efforts. Kronecker products algebra is used in this work as a tool language to identifi in an integrated and coherent manner similarities and ~ diferences between fasr Fourier transform (FFTJ algorithm formulations in order to effect eficient hardware core implementations. The new methodology presented in this work was successfully utilized for the generation of signal processing cores for DSP and FPGA hardware units.

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An alternative approach to interpolated array processing for uniform circular arrays

Cited by 8 publications

References 6 publications

Optimized spatial resampling for microphone array beamforming

Optimized spatial resampling for microphone array beamforming

Transformations for nonideal uniform circular arrays operating in correlated signal environments

A kroneeker DFT multi-beamforming implementation approach

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