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

Nechaev, Yuri; Algazinov, E. K.; Peshkov, I. W.

doi:10.1109/tsp.2018.8441419

Cited by 7 publications

(3 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As it was already shown from the expressions (15)(16)(17)(18), accuracy of direction finding in azimuth and elevation is mainly determined by the antenna array geometry, namely the coefficient AR (18). Consider it more in detail.…”

Section: General Expression Of Crlb For Arrays With Omnidirectiomentioning

confidence: 96%

“…However, first, it is necessary to determine the exact AR expressions for the types of antenna arrays under consideration by using the equations (16,17). At present there are a few ways and approaches to estimate antenna arrays for directionof-arrival estimation by means of the Cramer-Rao lower bound exact equation in known references, in particular [18,21].…”

Section: Exact Equation For Cramer-rao Lower Bound Formentioning

confidence: 99%

“…Several different performance and design criteria have been introduced to be used in obtaining optimal arrays [13][14][15][16][17], we can say the array with the highest bound is optimum in the sense that array is constructed using prespecified performance levels, in our case Cramer-Rao Bounds on error variance and minimum and maximum coordinates in the XY plane. The calculations can be executed manually by means of the presented in the paper simple relationships.…”

mentioning

confidence: 99%

See 2 more Smart Citations

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

View full text Add to dashboard Cite

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.

show abstract

Section: General Expression Of Crlb For Arrays With Omnidirectiomentioning

confidence: 96%

Section: Exact Equation For Cramer-rao Lower Bound Formentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

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

View full text Add to dashboard Cite

show abstract

A Cooperative Position Method of Two Aircraft Under the Condition of Giant Inertial Dispersion

Peng,

Li,

Ren

et al. 2024

Lecture Notes in Electrical Engineering

View full text Add to dashboard Cite

DOA-estimation methods with superresolution comparison depending on directivity factor of directive elements of conformal and planar antenna arrays on azimuth-elevation planes

Aalmuttar

2019

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Direction finding is widely spread and highly researching area. There are lots of methods to estimate spatial positions of radio sources. It is well known that maximum likelihood estimation method gives the highest accuracy and is capable of reaching Cramer-Rao bound. The main task of the paper is to research of direction-of-arrival estimation methods with super resolution such as MUSIC, Capon etc. Also the methods are not researched deeply for 2D (azimuth and elevation planes) scenarios via conformal and planar antenna arrays with directive elements. The root mean square error (RMSE) rate of estimates by the methods with super resolution such as MUSIC, Capon etc. in azimuth-evaluation cases are calculated via simulation depending on directivity ratio of elements as well as the probability of resolution and spatial spectrum bias. Additionally, the values are estimated in various noise environments and for various geometries of antenna arrays. Some features of functioning MUSIC direction-finding method for azimuth and elevation estimation as a part of the conformal and planar with directive elements are determined. One of the most dangerous features is false peaks which prevent exact spatial coordinate estimation and the processing speed of each method under consideration.

show abstract

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

Cited by 7 publications

References 4 publications

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

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

A Cooperative Position Method of Two Aircraft Under the Condition of Giant Inertial Dispersion

DOA-estimation methods with superresolution comparison depending on directivity factor of directive elements of conformal and planar antenna arrays on azimuth-elevation planes

Contact Info

Product

Resources

About