A Stochastic CRB for Non-unitary Beam-space Transformations and its Application to Optimal Steering Angle Design

Choi, Sung-Mo; Chun, Joohwan; Paek, Inchan; Jang, Junyong

doi:10.1109/lsp.2015.2453152

Cited by 4 publications

(1 citation statement)

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“…We have used the non-unitary beamspace CRB formula[3] to derive the gradient and Hessian of the trace of the CRB. Then applying these gradient and Hessian to a three-beam array antenna, we have found a set of three optimum beamsteering angles, for the case of two impinging plane waves, where one AOA can be rather accurately predictable, while the other has a large uncertainty.…”

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confidence: 99%

Optimal Beam Steering Angles of a Sensor Array for a Multiple Source Scenario

Choi

Chun

Paek

et al. 2016

Computer Science &Amp; Information Technology ( CS &Amp; IT )

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We present the gradient and Hessian of the trace of the multivariate Cramér-Rao bound (CRB) formula for unknown impinging angles of plane waves with non-unitary beamspace measurements,. These gradient and Hessian can be used to find the optimal beamspace transformation matrix, i.e., the optimum beamsteering angles, using the Newton-Raphson iteration. These trace formulas are particularly useful to deal with the multiple source senario. We also show the mean squred error (MSE) performance gain of the optimally steered beamspace measurements compared with the usuall DFT steered measurements, when the angle of arrivals (AOAs) are estimated with stochastic maximum likelihood (SMLE) algorithm.

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mentioning

confidence: 99%

Optimal Beam Steering Angles of a Sensor Array for a Multiple Source Scenario

Choi

Chun

Paek

et al. 2016

Computer Science &Amp; Information Technology ( CS &Amp; IT )

Self Cite

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Cramer-Rao Bounds of Localization Estimation for Integrated Radar and Communication System

Tian

2020

IEEE Access

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Instead of only considering the radar estimation error in the traditional radar system (TRS), for the integrated radar and communication system (IRCS), we investigate the Cramer-Rao bound (CRB) of the localization estimation, which is influenced by both radar estimation error and communication transmission error. The functions of radar and communication are operated simultaneously by embedding the communication symbols into the multicarrier radar waveforms. Firstly, we derive the CRB of time/direction of arrival (TOA/DOA) estimation. To minimize the estimation error, we maximize the signal-to-interferenceplus-noise ratio (SINR) of radar by iteratively optimizing the radar transmit and receive beamformers (with the constraint of available transmit power). Then, the CRB of localization estimation is derived using hybrid TOA/DOA measurement. The local CRBs from different IRCSs are fused according to the linear fusion rule at the fusion center (FC). Finally, numerical results demonstrate that the additional estimation errors for the IRCS are mainly determined by the channel conditions of communication and available transmit power; the estimation accuracy for both IRCS and TRS can be improved through the iterative transmit and receive beamforming (ITRB) technique. INDEX TERMS Cramer-Rao bound, localization estimation, multicarrier waveform, beamforming, integrated radar and communication system.

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