Gradient variable-step LMS self-adaptation filtering method

A technology of adaptive filtering and variable step size, applied in the direction of adaptive network, impedance network, electrical components, etc., can solve the problem of LMS algorithm steady-state error, algorithm convergence speed is difficult to take into account, etc., to reduce steady-state error and improve convergence. speed, the effect of reducing the influence of noise

Active Publication Date: 2014-08-27
WUXI TONGCHUN NEW ENERGY TECH
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Problems solved by technology

[0004] The purpose of the present invention is to provide a gradient variable step size LMS adaptive filtering method, which solves the problem that the steady-state error of the LMS algorithm and the improvement of the convergence speed of the algorithm are difficult to balance in the prior art

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  • Gradient variable-step LMS self-adaptation filtering method
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  • Gradient variable-step LMS self-adaptation filtering method

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[0048] In the simulation, the reference signal is a sinusoidal single input signal s=a*sin(0.05*pi*t), and zero-mean Gaussian white noise is added to the sinusoidal signal as the system input signal SNR=10dB; filter order m=128; sampling Number of points N=1000, drawing data is e 2 The result after Monte Carlo averaging of 100 times. Such as image 3 Shown, for the LMS algorithm when μ=0.001 and μ=0.0001, the convergence speed of the algorithm, it can be seen that the step size algorithm convergence speed is fast and the steady-state error is large, and the step size is small; the smoothing parameters of the algorithm proposed by the present invention are respectively: β=0.999, γ=1e-7, μ(0)=0.1. Figure 4 It is a comparison chart of the convergence speed curves of the GVSS-LMS algorithm and the LMS algorithm. It can be seen that the GVSS-LMS algorithm has a faster convergence speed and a lower steady-state error.

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Abstract

The invention provides a gradient variable-step LMS self-adaptation filtering method. The method includes the steps that (1) input signals X(n)+{x(n), x(n-1), ..., x(n-m+1)} are signal vectors formed by delays at different moments, wherein x(n) is a sampling value of a first-order filter at the n moment, and m is the order of a transversal filter; (2) the input signals are multiplied by corresponding weighted values and then summation is conducted to obtain an actual system output value y(n), and all weight vectors are initialized to be zero; (3) y(n) is subtracted from d(n) to obtain error signals e(n); (4) smooth gradient vectors g(n) are obtained; (5) the smooth gradient vectors at the adjacent moments are multiplied to obtain iterative step parameters at the n moment; (6) a weighted vector at the moment is obtained; (7) cyclic computing is conducted from the first step to the sixth step, then iterative computation is conducted and results are output. Through the gradient variable-step LMS self-adaptation filtering method, fast convergence on the premise of not reducing steady state errors is achieved.

Description

technical field [0001] The invention belongs to the technical field of adaptive signal processing, and relates to an LMS adaptive filtering method with gradient variable step size. Background technique [0002] As a branch of digital signal processing, adaptive filtering technology has been widely used in real life. Among them, the Least Mean Square (LMS) algorithm has become one of the most concerned algorithms in the practical use of adaptive filtering because of its simple implementation and robustness to signal statistical characteristics. However, the main shortcoming of the classic LMS algorithm is the contradiction between the convergence speed and the steady-state error, which seriously affects its application in some systems that require high convergence speed. The classic LMS algorithm uses a fixed step size, and the step size parameter μ controls the robustness, convergence speed and steady-state error of the algorithm. Generally, if the step size parameter is l...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03H21/00
Inventor 席晓莉李敏超宋忠国
Owner WUXI TONGCHUN NEW ENERGY TECH
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