Mixed norm non-negative adaptive filter

An adaptive filter, non-negative technology, applied in the direction of digital adaptive filter, adaptive network, impedance network, etc., can solve problems such as unsatisfactory effect and inapplicability, to improve the performance of anti-pulse interference, strong robustness The effect of stickiness and speeding up the convergence speed

Active Publication Date: 2019-08-30
SUZHOU UNIV
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Problems solved by technology

However, when this algorithm is used for non-negative sparse system identification, the effect is not ideal, and it is not even applicable.

Method used

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  • Mixed norm non-negative adaptive filter

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Embodiment

[0019] The working process of the NMNA filter proposed in this application: firstly, it adopts non-negativity constraints and a segmented processing method based on the combination of absolute error and mean square error criterion to update its coefficient vector, obtain its gradient, and use the gradient as a reduction pulse Component f of disturbance sensitivity n . Then introduce the weighted l 1 Norm, and its gradient, can be divided into g n , used to speed up sparse system identification. Finally, the diagonal matrix W n Introduced into the steepest descent method, and the component f n with g n By substituting it therein, the coefficient update formula of the adaptive filter proposed in the embodiment of the present application is obtained.

[0020] In this embodiment, a computer experiment method is used to verify the performance of the NMNA filter. In the experiment, the NMNA filter disclosed by the present invention is used to identify the unknown complex spar...

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Abstract

The invention discloses a mixed norm non-negative adaptive filter, and belongs to the field of digital filter design. The filter is established by minimizing a non-negative constraint condition and apiecewise cost function. The non-negative constraint is adopted, so that the adaptive filter can better approach a system with a non-negative coefficient vector, and the algorithm not only has high robustness, but also can obtain a high convergence rate by minimizing a segmentation cost function. The non-negative adaptive filter disclosed by the invention can be applied to electronic and communication systems subjected to large pulse noise interference.

Description

technical field [0001] The invention discloses an adaptive filter, in particular a robust mixed norm non-negative adaptive filter, which belongs to the field of digital filter design. Background technique [0002] In many applications, in the process of modeling and analysis, there may be negative elements in the derivation results. From a mathematical point of view, the existence of these negative elements is understandable, but from the perspective of engineering applications, these negative results It violates the basic physical facts, which is not advisable. For example, non-negativity is an inevitable physical fact in demographics, in the analysis of concentration fields, and in the calculation of image gray levels. Therefore, signal processing in situations such as the above requires the system to meet non-negativity constraints. In order to better simulate the non-negative characteristics of the system, Jie Chen et al. proposed a non-negative least mean square algor...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03H21/00
CPCH03H21/0043H03H2021/007
Inventor 倪锦根吴一凡
Owner SUZHOU UNIV
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