Gaussian Kernel Least Mean Square Algorithm With Improved Novelty Criterion

Fuping Wang, Yixin Su, Zhiwen Leng, Yue Qi
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Abstract

The kernel-based adaptive algorithm has been widely applied to noise cancellation, but the computational complexity of kernel function causes it can't perform well in embedded real-time control system. This paper proposes a design of the Gaussian kernel least mean square algorithm with improved novelty criterion, which aims to reduce computational load with universal approximation and fast convergence speed. The methodology slows down the growth rate of the network by multiple operations on the training set. It finds out the filter parameter from the collection data by improved novelty criterion, so the filter network has a much smaller scale and computation complexity, which allow it to be used in the embedded real-time control system.
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改进新颖性准则的高斯核最小均方算法
基于核的自适应算法在噪声消除中得到了广泛的应用,但由于核函数的计算量大,使得该算法在嵌入式实时控制系统中表现不佳。本文提出了一种改进新颖性准则的高斯核最小均方算法设计,以通用逼近和快速收敛来减少计算量。该方法通过对训练集进行多次操作来减缓网络的增长速度。采用改进的新颖性判据从采集的数据中找出滤波参数,使滤波网络具有更小的规模和计算量,可用于嵌入式实时控制系统。
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