Zero phase error filtering method based on diffusion equation
Abstract:
The phase error between digital filtering results and the original signal exists. In order to solve this problem, a ZPEF (Zero Phase Error Filtering) method based on diffusion filtering equation is proposed. And the method is proposed which the absolute value of maximum gradient value is used as the stopping condition for diffusion filtering. Firstly, one dimensional signal with noise in time domain is transformed into one dimension signal in spatial domain. Then, the spatial domain signal is filtered by digital iterative method based on diffusion equation. Finally, the stopping condition of filtering process is judged according to the absolute value of the maximum gradient. For the iterative process of the algorithm, the stability condition of the algorithm is given. Experimental results show that DF method can realize the zero-phase error filter. This method is superior to the FRR (Forward-Reverse Filtering, Reverse Output) and RFF (Reverse-Reverse Filtering, Forward Output) zero phase error filter, especially in the case of small sample data.
Keywords:
Zero phase error filtering, Zero phase error, Diffusion filtering, Diffusion equation
pages:
107-110
DOI:
10.35745/icice2018v2.027
Year:
2018
Published in:
2nd International Conference on Information, Communication and Engineering (ICICE 2018)
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