电子科技大学：《生物医学信号处理 Biomedical Signal Processing》课程教学资源（课件讲稿）Lecture 3 Adaptive Wiener Filter and Biomedical Applications

Lecture 3 Adaptive Wiener and Biomedical Applications Contents in the lecture: 1.Wiener filter 2.Adaptive Wiener filter 1

1 Lecture 3 Adaptive Wiener and Biomedical Applications Contents in the lecture: 1. Wiener filter 2. Adaptive Wiener filter

1.Wiener filter Reviewing Wiener filter 2

1. Wiener filter Reviewing Wiener filter 2

2.Adaptive Wiener Filter (AWF) Introduction The features of Wiener Filter: (1)Be suitable to process stationary random signals (2)The prior statistical properties for signals and noise is required (3)The parameters of filter system are fixed 3

3 2. Adaptive Wiener Filter (AWF) Introduction The features of Wiener Filter: (1) Be suitable to process stationary random signals (2) The prior statistical properties for signals and noise is required (3) The parameters of filter system are fixed

Introduction Kalman Filtering (1)be suitable to process non-stationary random signals; (2)The prior statistical properties for signals and noise are required; (3)The parameters of the filter are time variation. 4

4 Introduction Kalman Filtering （ 1 ）be suitable to process non-stationary random signals； （ 2 ）The prior statistical properties for signals and noise are required; （ 3 ）The parameters of the filter are time – variation

Introduction Biomedical signal analysis in practice (1)The complexity and non-stationary of biomedical signals; (2)Be impossible to obtain the prior information of signals and noise;Or (3)The statistical properties vary with time. Therefore,Wiener filter and Kaleman filter can not realize the optimum filtering in above situations. However,Adaptive filter can provide the excellent filtering performances. 5

5 Introduction Biomedical signal analysis in practice (1) The complexity and non-stationary of biomedical signals; (2) Be impossible to obtain the prior information of signals and noise; Or (3) The statistical properties vary with time. Therefore, Wiener filter and Kaleman filter can not realize the optimum filtering in above situations. However, Adaptive filter can provide the excellent filtering performances