Steady direction of arrival estimation method based on sparse representation and covariance fitting

A sparse representation and covariance technique, applied in the field of signal processing, which can solve problems such as estimation accuracy limitations

Active Publication Date: 2015-04-22
NANJING UNIV OF POSTS & TELECOMM
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Problems solved by technology

However, this method requires the signal source to be located on the grid used in the sparse

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  • Steady direction of arrival estimation method based on sparse representation and covariance fitting
  • Steady direction of arrival estimation method based on sparse representation and covariance fitting
  • Steady direction of arrival estimation method based on sparse representation and covariance fitting

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Embodiment Construction

[0055] refer to figure 1 , the implementation steps of the present invention are as follows:

[0056]Step 1: Use N omnidirectional antenna receivers to form a uniform linear array to estimate the direction of K narrowband signal sources in space. The possible direction set of the signal source is Ω, and the candidate direction network is covered on it where θ k Represents a generic orientation parameter.

[0057] Step 2 Calculate the theoretical expression of the signal covariance matrix R and the actual sampling value according to the output signal of the antenna array

[0058] R = E [ y ( t ) y ( t ) H ] = Σ k = 1 K p k ...

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Abstract

The invention provides a steady direction of arrival estimation method based on a sparse representation and covariance fitting. The steady direction of arrival estimation method based on the sparse representation and the covariance fitting mainly comprises the steps that a sparse spatial spectrum representation model is established according to antenna array receipt signals, a parameterization representation is carried out on model errors, and an optimization problem is established according to a covariance fitting criterion. The obtained problem is non convex optimization, therefore, the transformation and solution of the problem can be performed through equivalent transformation, parameter increase and step-by-step solution. Without considering the model errors at first, an original problem can be simplified as a convex optimization problem. The convex optimization problem is quickly solved by an existing method, and an initial solution is obtained. Iteration solving is carried out on the original problem, a model error parameter is estimated and an initial estimation is renewed. The steady direction of arrival estimation method based on the sparse representation and the covariance fitting can obtain a precise DOA estimation by low complexity.

Description

technical field [0001] The invention belongs to the technical field of signal processing, in particular to estimation of the angle of arrival and direction, and can be used for passive positioning and target detection. Background technique [0002] Direction of Arrival (DOA) estimation is the use of antenna arrays in different positions in space to receive signals from multiple signal sources in different directions, and the use of modern signal processing methods to quickly and accurately obtain the direction of the signal source. It has important application value in other fields. [0003] Traditional DOA estimation techniques include subspace-based methods, such as the MUSIC method and maximum likelihood estimation. In recent years, the development of signal sparse recovery and sparse representation has provided new ideas for DOA estimation techniques. The main idea of ​​signal sparse representation is to use the fine grid to cover the value space of the parameter to be...

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Application Information

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IPC IPC(8): H04B7/08H04B17/391
Inventor 蔡曙王士欣刘旭朱洪波
Owner NANJING UNIV OF POSTS & TELECOMM
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