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Weighted least square spatial matrix filtering design method

A technology of spatial matrix filtering and weighted least squares, applied in impedance networks, digital technology networks, electrical components, etc., can solve problems such as complex calculations, inability to directly give optimal solutions, unfavorable real-time spatial matrix filter design, etc.

Active Publication Date: 2016-11-09
PLA DALIAN NAVAL ACADEMY
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Problems solved by technology

However, since the constant stopband response constrained spatial domain matrix filter needs to limit the maximum value of the stopband response or passband response error to be less than a certain constraint value, the established optimization problem cannot directly give the optimal solution, and requires the help of a complex optimal solution. Optimization theory and algorithm solution, complex calculation, not conducive to real-time spatial domain matrix filter design, especially for wideband array signal processing, especially in the case of designing corresponding spatial domain matrix filters for multiple subbands

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  • Weighted least square spatial matrix filtering design method
  • Weighted least square spatial matrix filtering design method
  • Weighted least square spatial matrix filtering design method

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[0112] The specific implementation example of the present invention is described in detail below in conjunction with scheme and accompanying drawing.

[0113] 1. Constant passband response error iteration

[0114] Step 1: Set the passband and stopband of the spatial matrix filter, discretize the passband and stopband, and set the initial weighting coefficient w of the direction vector 1 (θ p )=1,p=1,...,P;

[0115] Step 2: For the detection frequency ω, calculate a(θ p ),p=1,...,P and a(θ s ), s=1,…, S, and get V P =[a(θ 1 ),…,a(θ P )], θ p ∈Θ P and V S =[a(θ 1 ),…,a(θ S )], θ s ∈Θ S ;

[0116] Step 3: Set the ratio λ of the passband response error and the stopband response. For example, λ=1 may be chosen.

[0117] Step 4: Select the iteration termination criterion (a), (b) or (c); use formula (9), (10), (11), (12), (13) to iterate, when the iteration meets the termination criterion condition, then Stop iterating. Assume that a total of K times have been iter...

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Abstract

The invention belongs to the technical field of array signal processing, and relates to a weighted least square spatial matrix filtering design method, in particular to a spatial matrix filtering design method for constant passband response errors and stopband responses. The design method is characterized in that a constant passband response error and a constant stopband response are obtained by iteration of optimal spatial matrix filter weighting parameters. Moreover, a proportionality coefficient lambda of the passband response error and the stopband response can be set to adjust response effects of a passband and a stopband.

Description

technical field [0001] The invention belongs to the technical field of array signal processing, relates to data processing of sensor arrays, and particularly relates to a space domain matrix filter design method for constant passband response error and stopband response. Background technique [0002] This application is a project of the National Natural Science Foundation of China "Spatial Matrix Filtering Technology and Its Application Research in Underwater Acoustic Signal Processing". In this design method, the methods of least squares, zero point constraints and passband zero response error constraints can be directly given The solution to the optimal spatial domain matrix filter. Stopband response, passband response error overall constraints, bilateral stopband overall response constraints The spatial matrix filter only needs to solve nonlinear equations containing 1 or 2 unknowns to solve the optimal Lagrange multiplier to obtain the optimal spatial matrix filter solu...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03H17/00
Inventor 张海勇解恺韩东朱丽娟徐池孙杜娟
Owner PLA DALIAN NAVAL ACADEMY
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