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Nonnegative adaptive filter

An adaptive filter and non-negative technology, applied in the direction of adaptive network, impedance network, electrical components, etc., can solve the problems of slow convergence speed and poor robustness, achieve strong robustness, and improve the resistance to impulse noise interference Ability, the effect of speeding up the convergence speed

Active Publication Date: 2016-10-26
SUZHOU UNIV
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Problems solved by technology

It is used to solve the shortcomings of slow convergence speed and poor robustness of NNLMS adaptive filter in sparse system identification

Method used

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Embodiment

[0021] In this embodiment, a computer experiment method is used to verify the performance of the non-negative adaptive filter. In the experiment, the non-negative adaptive filter disclosed by the present invention is used to identify the unknown sparse system in the environment of impulse noise interference, and its performance is compared with that of the NNLMS adaptive filter. Such as figure 1 As shown, the identification of the unknown sparse system by the non-negative adaptive filter disclosed in the present invention includes the following steps:

[0022] 1) Calculate the error signal e(n) through the input signal x(n) and the expected signal d(n) at time n, that is, e(n)=d(n)-w T (n)x(n), where x(n)=[x(n),x(n-1),…,x(n-M+1)] T is an input vector composed of the first M samples of the input signal {x(n), x(n-1),...,x(n-M+1)}, w(n)=[w 1 (n),w 2 (n),...,w M (n)] T is a coefficient vector formed by M tap coefficients of the non-negative adaptive filter, and T represents...

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Abstract

The invention discloses a nonnegative adaptive filter, and belongs to the field of digital filter design. The filter is obtained by a cost function composed of a 10-norm and a logarithm absolute error function which minimize a coefficient vector. Minimization of the 10-norm speeds up convergence of a nonnegative adaptive filter estimation unknown system, while minimization of the logarithm absolute error function improves the robustness of the nonnegative adaptive filter. The nonnegative adaptive filter can be applied to an occasion in which an electronic or communication system is interfered by high pulse noise.

Description

technical field [0001] The invention discloses a non-negative adaptive filter, which belongs to the field of digital filter design. Background technique [0002] System identification is an important branch of adaptive signal processing. Traditional adaptive channel equalization, adaptive noise cancellation, adaptive echo cancellation, active noise control and many other problems can be attributed to system identification. In some applications, due to the limitation of the inherent physical characteristics of the system, it is necessary to impose non-negativity constraints on the optimal values ​​of the coefficients of the system to be estimated. The system identification problem under the non-negativity constraint is a specific form of the optimization problem under the non-negativity constraint. The optimization problem under non-negativity constraints is often involved in theory and engineering practice, and is one of the current research hotspots, such as non-negative l...

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Application Information

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IPC IPC(8): H03H21/00
CPCH03H21/0043H03H2021/0061
Inventor 倪锦根赵凯
Owner SUZHOU UNIV
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