基于python实现matlab filter函数过程详解

matlab中的filter函数：

y = filter(b,a,x)

python实现matlab中的filter函数

def filter_matlab(b,a,x): y = [] y.append(b[0] * x[0]) for i in range(1,len(x)): y.append(0) for j in range(len(b)): if i >= j :y[i] = y[i] + b[j] * x[i - j ]j += 1 for l in range(len(b)-1 ): if i >l:y[i] = (y[i] - a[l+1] * y[i -l-1])l += 1 i += 1 return y

example:

取

b = [8,-3.5,0.5]a = [1,-1.5,0.25]x = [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]y = filter_matlab(b,a,x)

函数的结果和matlab的filter函数结果一致，为

[8, 24.5, 52.25, 94.75, 156.5625, 243.65625, 363.84375, 527.3515625, 747.56640625, 1042.01171875, 1433.6259765625, 1952.43603515625, 2637.74755859375, 3541.0123291015625, 4729.581604003906, 6291.619323730469, 8342.533584594727, 11033.395545959473, 14561.959922790527, 19187.090997695923]

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