Estimation of the Cramer-Rao Bound for Radio Direction-Finding on the Azimuth and Elevation of Planar Antenna Arrays of the Symmetric Form

Nechaev, Yu. B.; Peshkov, I. W.; Fortunova, N. A.

doi:10.1109/ewdts.2018.8524799

Cited by 5 publications

(5 citation statements)

References 2 publications

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“…   First we define the derivative of exponential part on azimuth for k-th signal on n-th antenna element [8]:…”

Section: Cramer-rao Lower Bound For Doamentioning

confidence: 99%

“…, i.e. the signal power in the one signal case, we can express the term inside square brackets in the equation (15) in the following matrix-vector form as [8]:…”

Section: Cramer-rao Lower Bound For Doamentioning

confidence: 99%

“…Moreover, it is well known that antenna array geometry imposes some limitations on the direction-finding measurements, like only azimuth estimation capability [7]. The circular and concentric antenna array is used to overcome the problem of this kind in the tasks requiring both azimuth and elevation directionfinding [8][9][10]. Thus the most popular configurations of the antenna arrays are uniform linear, rectangular, as well as uniform circular ones which had been investigated mainly in the azimuth plane assuming that the antennas are isotropic [1][2][3][4][5][6][7][8][9][10].…”

mentioning

confidence: 99%

“…The circular and concentric antenna array is used to overcome the problem of this kind in the tasks requiring both azimuth and elevation directionfinding [8][9][10]. Thus the most popular configurations of the antenna arrays are uniform linear, rectangular, as well as uniform circular ones which had been investigated mainly in the azimuth plane assuming that the antennas are isotropic [1][2][3][4][5][6][7][8][9][10]. Therefore, the problem of comparative analysis, research and development of methods for spatial filtering of wideband signals in the azimuth and elevation planes using planar systems (rectangular, circular, concentric, etc.…”

mentioning

confidence: 99%

“…In the chapter IV CRLB for DOAestimation on azimuth-elevation is discussed [10]. Chapter V gives the previously obtained results in [8] about symmetric antenna arrays and their CRLB values. Part VI discusses nonsymmetric antenna arrays that have not previously been published, but it is a continuation of Part V and also a special case.…”

mentioning

confidence: 99%

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Estimation and Minimization of the Cramer-Rao lower bound for radio direction-finding on the azimuth and elevation of planar antenna arrays

Peshkov¹,

Nechaev

2019

JCOMSS

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In this paper an approach of obtaining optimal planar antenna arrays consisting of omnidirectional sensors is proposed. The novelty of the proposed approach is to apply an exact expression of the Cramer-Rao lower bound for an arbitrary planar antenna array consisting of a number of omnidirectional elements which has been presented in the further chapters of the paper. The obtained formula describes the influence of antenna elements locations on the direction-of-arrival estimation accuracy. It has been shown that the direction-of-arrival accuracy via planar antenna arrays is determined as the sum of squares of differences between all omnidirectional elements coordinates along x- and y-axis. Thus knowing an expected area or sector of signal source it is very easy to calculate optimal arrangement of antenna elements in order to reduce direction-finding errors, because obtained by that way positions gives the best match according to the maximum likelihood criterion. It is worth nothing that such antenna arrays are useful in the way that they allow estimating the coordinates of radio emission sources in the three-dimensional coordinate space, i.e. in azimuth and elevation. In order to confirm the proposed methodology optimal antenna arrays constructed after minimization of the new formulas are researched. It is found out that the new shapes of antenna arrays based on the analytical expressions have better direction-of-arrival accuracy in comparison with the circular ones.

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“…   First we define the derivative of exponential part on azimuth for k-th signal on n-th antenna element [8]:…”

Section: Cramer-rao Lower Bound For Doamentioning

confidence: 99%

“…, i.e. the signal power in the one signal case, we can express the term inside square brackets in the equation (15) in the following matrix-vector form as [8]:…”

Section: Cramer-rao Lower Bound For Doamentioning

confidence: 99%