Matrix pencil method for simultaneously estimating azimuth and elevation angles of arrival along with the frequency of the incoming signals

Yilmazer, Nuri; Fernández-Recio, R.; Sarkar, Tapan K.

doi:10.1016/j.dsp.2006.05.009

Cited by 33 publications

(39 citation statements)

References 6 publications

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“…By using this data cube, one pole is found along each plane. After finding these poles, the corresponding elevation, azimuth angles and the wavelength of the signals (B, t/J and A) are obtained for each source [2]. The details of the formulation for the 3-D MP method can be found in [2].…”

Section: Brief Overview Of the Matrix Pencil Methods And Problem Fmentioning

confidence: 99%

“…The voltages induced in the antenna elements of the three dimensional antenna array are used to estimate the signal parameters simultaneously using Matrix Pencil (MP) method. It has been shown that the method works very well for the isotropic omni-directional sensor elements [2]. The paper studies the performance of the estimator in which the real antenna elements are used.…”

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confidence: 99%

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Simultaneous estimation of direction of arrival and frequency of the signals using realistic antenna elements

Şahin

Burintramart

Sarkar

2009

2009 IEEE Antennas and Propagation Society International Symposium

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This paper presents a method for simultaneously estimating the direction of arrival of the signals along with their unknown frequencies using real antenna elements. Matrix Pencil method is used for estimating the three poles which correspond DOAs and frequencies from the voltages that are induced in a three-dimensional antenna array. Some numerical examples are presented to illustrate the applicability of this methodology. I. INTRODUCTIONFor the Direction of Arrival (DOA) estimation problem, it is generally assumed that the frequency of operation of the signals coming to the antenna array is known and the antenna elements in the linear array are uniformly spaced at O.5A, where A is the wavelength at the frequency of operation. The question is then what happens if the frequency is not known? We now describe a methodology for simultaneously estimating the frequency of operation and the DOA of the signals using a three dimensional antenna array. The voltages induced in the antenna elements of the three dimensional antenna array are used to estimate the signal parameters simultaneously using Matrix Pencil (MP) method. It has been shown that the method works very well for the isotropic omni-directional sensor elements [2]. The paper studies the performance of the estimator in which the real antenna elements are used. If the real antenna elements are used in antenna array then there will be some unwanted EM effects such as mutual coupling and this will distort the plane wave assumption. A signal processing algorithm is used to reduce the mutual coupling effects occur in the antenna array.

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Section: Brief Overview Of the Matrix Pencil Methods And Problem Fmentioning

confidence: 99%

mentioning

confidence: 99%

Simultaneous estimation of direction of arrival and frequency of the signals using realistic antenna elements

Şahin

Burintramart

Sarkar

2009

2009 IEEE Antennas and Propagation Society International Symposium

Self Cite

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“…As illustrated in [1], [12], the Matrix Pencil algorithm can get good performance on DoA estimation when the environment exhibits high SNRs. On the other hand, as the SNRs decreases, the performance decreases dramatically.…”

Section: Proposed Wavelet De-noising Matrix Pencil Methods (Wdmpm)mentioning

confidence: 99%

“…The suffix s and n are symbols that demonstrate the signal subspace and noise subspace, respectively. Σ s is a square diagonal matrix involving the eigen- [12], [13] . In the same way, V can be separated into…”

Section: The Traditional Mpm Doa Estimation Techniquementioning

confidence: 99%

Performance enhancement of MPM DoA estimation technique using wavelet De-noising filter

Hussein

Napoleon

Eldawy

2016

IJET

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Direction-of-arrival (DoA) estimation is now an imperative part in many radar applications and localization techniques. There are numerous algorithms that have been studied in the previous decades for DoA, for example: MUSIC, ESPRIT, and Matrix Pencil Method (MPM), which are subspace super resolution methods. MPM is one of the most commonly used subspace based techniques. It is generally utilized for DoA estimation because of its effortlessness and high resolution contrasted with other subspace techniques. But, it suffers from performance deterioration under low Signal-to-Noise Ratio (SNR) conditions. This paper, explores the possibility of utilizing the wavelet de-noising technique to intercept the degradation in the performance of MPM under different SNR values. Wavelet De-noising is intended to remove noise or distortion from signals while retaining the original quality of the signal. The simulation results indicate that the Daubechies wavelet (db12) at 5 levels of decomposition is the most suitable wavelet for de-noising the signals under test. Also, the results show that the proposed wavelet de-noising matrix pencil method (WDMPM) outperforms the traditional MPM.

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“…This implies that the signal eigenvalues are practically greater than the noise floor σ n 2 . The eigenvectors in the columns of U can be partitioned into U s = [u 1 , u 2 , … , u N ] for signal eigenvectors that correspond to the signal subspace and U n = [u N+1 , … , u M ] for noise eigenvectors that represent the noise subspace [8,9]. In the same way, V can be separated into…”

Section: Traditional Matrix Pencil Methodsmentioning

confidence: 99%

Performance enhancement of MPM using SNR boosting techniques

Mamdouh

Hussein

ElMekaty

2016

IJET

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Signal to noise ratio (SNR) boosting is one of the most important research areas in signal processing. The effectiveness of SNR boosting is not limited to a specific application rather, it is widely used in image processing, signal processing, cognitive radio, MIMO systems, digital beam forming, and direction of arrival (DOA) estimation …etc. In this paper, the recursive least square (RLS) and wavelet based de-noising filters are exploited for SNR boosting in DOA estimation techniques for further performance enhancement. The matrix pencil method (MPM) as an effortlessness and high resolution DOA estimation technique is taken as a test case. That is because it suffers from performance deterioration under low SNR regimes. The simulation results reveal that the MPM based RLS de-noising filter outperforms the MPM based wavelet de-noising filter and the traditional MPM in terms of mean square error (MSE) especially at low SNR regimes.

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Matrix pencil method for simultaneously estimating azimuth and elevation angles of arrival along with the frequency of the incoming signals

Cited by 33 publications

References 6 publications

Simultaneous estimation of direction of arrival and frequency of the signals using realistic antenna elements

Simultaneous estimation of direction of arrival and frequency of the signals using realistic antenna elements

Performance enhancement of MPM DoA estimation technique using wavelet De-noising filter

Performance enhancement of MPM using SNR boosting techniques

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