Robust beam forming method based on robust least-square

A least-squares and beam-forming technology, which is applied in the field of beamforming when there is an array steering vector error mismatch and a data covariance matrix error, can solve the problem of no substantial improvement in algorithm performance, and achieve improved robustness and increased robustness Effect

Inactive Publication Date: 2013-08-14
HARBIN ENG UNIV
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Problems solved by technology

Chen Chaoxian modified the constraints of double-constrained robust beamforming to least square constraints (Chen Chaoxian. R

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[0069] Assume a 10-element uniform linear array with an element spacing of half a wavelength. Three groups of plane waves are incident on the matrix from directions of -25°, 10° and 30° respectively. Among them, the signal in the 10° direction is the desired signal, and the other two groups of signals are interference, and the signal, interference and noise are all independent narrow-band random processes. The interference-to-noise ratios of the two interferences are 10dB and 30dB respectively, and the background noise of the array is 0dB space white noise. The algorithms used for comparison are sample covariance matrix inversion method SCB, fixed diagonal loading method FDL, HKB, GLC and RCB.

[0070] Design example in the presence of observation direction errors:

[0071] Assume that the actual incident direction of the desired signal is 10°, but the observation azimuth is 11°, that is, there is an observation error of 1°, and the number of snapshots is 100, γ 0 The param...

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Abstract

The invention provides a robust beam forming method based on a robust least-square. The method has the following steps: decomposing the weight of a beam forming device into two parts of static stage weight and self-adaptive weight by utilizing a generalized sidelobe cancellation device, transforming the standard MVDR (Minimum Variance Distortionless Response) beam forming device expression into a least-square form, acquiring data covariance matrix in the worst condition under the norm restrict of real data covariance matrix and estimated data covariance matrix error, utilizing the data covariance matrix to modify the least-square problem and to transform the problem into a robust least-square problem, further transforming the problem into a second order cone planning problem, and acquiring an optimal solution by utilizing an efficient interior point method. The method has better performances in the following aspects: (1) the output signal interference noise ratio and the power estimated accuracy when the existence conditions are mismatched, (2) the nulling depth of the interference direction in the beam pattern, (3) low mismatching sensibility to the parameter needed to be estimated in advance in the arithmetic. The method has certain the oretical meaning and utility value.

Description

technical field [0001] The invention relates to a radio and sonar communication and positioning technology, in particular to a beam forming method when there is an array steering vector error mismatch and a data covariance matrix error. Background technique [0002] Array processing is widely used in radar and sonar systems, and beamforming is a very important task in array signal processing. Conventional beamforming is limited by the aperture size of the array, limited spatial processing gain, and low spatial resolution. In 1969, Capon proposed the minimum variance distortion response (MVDR) beamformer that maximizes the gain of the ideal array. The MVDR beamformer minimizes the output power of the array under the condition that the desired signal is output without distortion. , to maximize the output SINR, the beamformer can maximize the array gain, has the optimal output SINR and better azimuth resolution. However, the MVDR beamformer is based on the accurate knowledge ...

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Application Information

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IPC IPC(8): G01S7/52H04B7/06
Inventor 王燕吴文峰范展梁国龙付进
Owner HARBIN ENG UNIV
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