陈坚, 李昕, 何怡刚. 泰勒多项式逼近实现DOG小波变换[J]. 微电子学与计算机, 2014, 31(10): 72-75,80.
引用本文: 陈坚, 李昕, 何怡刚. 泰勒多项式逼近实现DOG小波变换[J]. 微电子学与计算机, 2014, 31(10): 72-75,80.
CHEN Jian, LI Xin, HE Yi-gang. Taylor-series Approximation Method Implementing DOG Wavelet Transform[J]. Microelectronics & Computer, 2014, 31(10): 72-75,80.
Citation: CHEN Jian, LI Xin, HE Yi-gang. Taylor-series Approximation Method Implementing DOG Wavelet Transform[J]. Microelectronics & Computer, 2014, 31(10): 72-75,80.

泰勒多项式逼近实现DOG小波变换

Taylor-series Approximation Method Implementing DOG Wavelet Transform

  • 摘要: 总结了模拟集成电路和VLSI电路硬件实现连续小波变换(CWT)的常用方法:时域法和频域法.针对频域法中带通滤波器组设计的难以实现问题,提出利用泰勒多项式(Taylor-series)对DOG小波函数进行展开,以获取该小波函数的逼近函数,而后构建DOG小波变换逼近函数的系统模型,仿真结果验证了这种方法对于DOG小波的可行性.

     

    Abstract: This paper summarized that the main methods of implementing continuous wavelet transform were Timedomain method and Frequency-domain method in analog integrated circuit and VLSI integrated circuit.Considering that the design of band-pass filters in Frequency-domain method is difficult to implement,this paper proposed the means of using Taylor-series to spread the wavelet function.It could obtain the function approximation of the wavelet function.Then this paper raised the method of using Taylor approximation to build the system function model of continuous wavelet transform.The feasibility of this method is validated taking DOG wavelet as an example.

     

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