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A Nonlinear Channel Equalization Method in Alpha Stable Distributed Noise Environment

A stable distribution and channel equalization technology, applied in equalizers, channel estimation, transmission line coupling devices, etc., can solve problems such as signal distortion, and achieve the effect of compensating for distortion, ensuring convergence speed, and reducing steady-state errors.

Active Publication Date: 2019-06-07
THE PLA INFORMATION ENG UNIV
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AI Technical Summary

Problems solved by technology

[0003] The present invention aims at the problem of signal distortion caused by nonlinear channel and Alpha stable distributed noise in wireless communication systems such as satellite communication and underwater acoustic communication existing in the prior art, and proposes a nonlinear channel equalization method under Alpha stable distributed noise environment

Method used

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  • A Nonlinear Channel Equalization Method in Alpha Stable Distributed Noise Environment
  • A Nonlinear Channel Equalization Method in Alpha Stable Distributed Noise Environment
  • A Nonlinear Channel Equalization Method in Alpha Stable Distributed Noise Environment

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Embodiment 1

[0040] Embodiment 1: in combination with figure 1 - attached Figure 7 , a nonlinear channel equalization method under an Alpha stable distributed noise environment, the method comprises the following steps:

[0041] Step 1: Construct the cost function J=E(|e(n)| p ); the specific method is: according to the minimum mean square error criterion, construct the cost function of the nonlinear channel equalization based on the kernel method under the Alpha stable distributed noise environment: J=E(|e(n)| p ), where the error signal e(n)=d(n)-y(n), E(|e(n)| p ) represents the p-th moment of the random variable e(n).

[0042] Step 2: Map the received signal to the high-dimensional feature space through the kernel function, and derive the update formula of the equalizer tap coefficient in the high-dimensional feature space:

[0043]

[0044] and the equalizer output iteration formula:

[0045]

[0046] The specific steps of step 2 are: Step 201: Map the received signal to a...

Embodiment 2

[0065] Embodiment 2: the non-linear channel equalization method under a kind of Alpha stable distribution noise environment, below in conjunction with accompanying drawing, concrete implementation method of the present invention is described in further detail, for convenience of narration, represent vector with bold italics, () T Indicates the transpose, and E() indicates the expected operation.

[0066] The invention provides an effective method for solving the problem of nonlinear channel distortion in an Alpha stable distributed noise environment, and has theoretical and practical value for improving the reliability of wireless communication systems such as satellite communication and underwater acoustic communication.

[0067] The overall process of the present invention is attached figure 1 shown, including the following steps:

[0068] 1) Construct the cost function of the nonlinear channel equalization based on the kernel method in the Alpha stable distributed noise en...

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Abstract

The invention relates to a channel equalization problem in an Alpha stable distribution noise environment, and in particular relates to a nonlinear channel equalization method in an Alpha stable distribution noise environment. The method comprises the following steps of: (1), constructing a cost function in the Alpha stable distribution noise environment; (2), mapping a received signal into a high-dimensional feature space through a kernel function, and deducing an equalizer tap coefficient updating formula in the high-dimensional feature space and an equalizer output iterative formula; and (3), performing iterative updating of the equalizer coefficient by using the equalizer tap coefficient updating formula till a training sequence is completely processed. According to the nonlinear channel equalization method disclosed by the invention, a kernel method is successfully applied in nonlinear channel equalization under Alpha stable distribution noise; a KLMP algorithm is provided; distortion generated by a nonlinear channel under the Alpha stable distribution noise can be made up better; and, on the premise that the convergence speed of the algorithm is ensured, the better equalization performance can be obtained through low steady-state error.

Description

technical field [0001] The invention relates to a channel equalization problem under an Alpha stable distributed noise environment, in particular to a nonlinear channel equalization method under an Alpha stable distributed noise environment. Background technique [0002] In satellite communication systems and underwater acoustic communication systems, due to the nonlinearity of nonlinear components and physical transmission media, the communication channel is nonlinear. In addition, the atmospheric noise and shallow sea acoustic environment noise in satellite communication often show significant spike characteristics, and the Alpha stable distribution is usually used to describe the statistical characteristics of this noise. Channel nonlinearity and noise can cause distortion of communication signals and directly affect the reliability of communication systems. When channel nonlinear distortion and Alpha-stable distributed noise exist at the same time, how to equalize the c...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L25/02H04L25/03H04L27/01
CPCH04L25/0202H04L25/0264H04L25/03878H04L27/01
Inventor 王彬孙丹华汪洋孙亮黄焱马金全吴微张俊林岳强
Owner THE PLA INFORMATION ENG UNIV
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