On focusing matrices for wide-band array processing

Doron, M.A.; Weiss, Amir

doi:10.1109/78.139236

Cited by 142 publications

(79 citation statements)

References 14 publications

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“…The focusing matrices are further discussed in [2] where it is shown that the focusing matrices (including the RSS matrices) belong to the broader class of matrices called SST (signal-subspace transformation) matrices. However, to construct the focusing matrices following any of the popular methods, it is crucial to have some preliminary estimate of the DOAs.…”

Section: B Review Of Coherent and Incoherent Methods Of Wideband Doamentioning

confidence: 99%

“…This choice of focusing matrix, as we shall see shortly, will satisfy the purpose we discussed in the previous paragraph. It is to be noted that this matrix belongs to the same class of SST matrices as proposed by Doron in [2]. Since the eigenvectors of R xx [i] can be grouped into signal space and noise space eigenvectors, we can represent U(f i ) as…”

Section: Autofocusing Approach To Coherent Signalmentioning

confidence: 99%

“…The focusing matrices are non-unique and several discussions on construction of these focusing matrices can be found in [2], [3], [7]. The most popular way to generate these focusing matrices is to construct a unitary focusing matrix by minimizing the Frobenius norm of the manifold mismatches, viz.,…”

Section: B Review Of Coherent and Incoherent Methods Of Wideband Doamentioning

confidence: 99%

“…Under the assumption that ΔT is long enough compared to the correlation time of the signals and the noise so that we can regard the DFT coefficients uncorrelated [2], [7], we can write…”

Section: A Signal Modelmentioning

confidence: 99%

“…Thus it completely avoids the need for preprocessing. (ii) The focusing matrix T auto (f i ) is a unitary matrix by construction, and hence, according to [2], [3], it results in no focusing loss. Also, it preserves the spatial whiteness of the noise, so that the coherently combined noise autocorrelation matrix remains diagonal.…”

Section: Advantages Of the Proposed Autofocusing Techniquementioning

confidence: 99%

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A novel autofocusing approach for estimating directions-of-arrival of wideband signals

Pal

Vaidyanathan

2009

2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers

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Abstract-We propose a novel approach to the design of focusing matrices which play important role in the coherent methods for wideband direction-of-arrival estimation. We call this 'autofocusing' because unlike the conventional methods, our technique constructs the focusing matrices entirely by processing the received signal and does not require any preliminary DOA estimates. In this way, it overcomes the major drawback of the coherent methods which otherwise possess many desirable properties. Through computer simulations, the proposed method is found to exhibit satisfactory performance in comparison to the existing wideband DOA estimation algorithms. 1

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Section: B Review Of Coherent and Incoherent Methods Of Wideband Doamentioning

confidence: 99%

Section: Autofocusing Approach To Coherent Signalmentioning

confidence: 99%

Section: B Review Of Coherent and Incoherent Methods Of Wideband Doamentioning

confidence: 99%

“…Under the assumption that ΔT is long enough compared to the correlation time of the signals and the noise so that we can regard the DFT coefficients uncorrelated [2], [7], we can write…”

Section: A Signal Modelmentioning

confidence: 99%

Section: Advantages Of the Proposed Autofocusing Techniquementioning

confidence: 99%

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A novel autofocusing approach for estimating directions-of-arrival of wideband signals

Pal

Vaidyanathan

2009

2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers

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Angle‐of‐Arrival Estimation in Large‐Scale Hybrid Antenna Arrays

Guo

2022

Antenna and Array Technologies for Future Wireless Ecosystems

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Off‐grid DoA estimation method of wideband signals

Eghbali

Naeiny

2020

Int J Communication

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SummaryIn this paper, an off‐grid direction of arrival (DoA) estimation method is proposed for wideband signals. This method is based on the sparse representation (SR) of the array covariance matrix. Similar to the time domain DoA estimation methods, the correlation function of the sources was assumed to be the same and known. A new measurement vector is obtained using the lower‐left triangular elements of the covariance matrix. The DoAs are estimated by quantizing the entire range of continuous angle space into discrete grid points. However, the exact DoAs may be located between two grid points; therefore, this estimation has errors. The accuracy of DoA estimation is improved by the minimization of the difference between the new measurement vector and its estimated values. Simulation results revealed that the proposed method can enhance the DoA estimation accuracy of wideband signals.

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On focusing matrices for wide-band array processing

Cited by 142 publications

References 14 publications

A novel autofocusing approach for estimating directions-of-arrival of wideband signals

A novel autofocusing approach for estimating directions-of-arrival of wideband signals

Angle‐of‐Arrival Estimation in Large‐Scale Hybrid Antenna Arrays

Off‐grid DoA estimation method of wideband signals

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