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) produce exact derivative estimations z i = f ( i t ) , i = 0 , 1 , . . . , n d , of the signal f 0 ( t ) , pro - ( 0 vided | f ( n d + 1 ) Lholds for some known L > 0 . So - called hybrid ( bi - homogeneous ) ≤ | 0 differentiators, are also effective for the variable bound L ( t ) . The accuracy of these differentiators is also analyzed in the presence of discrete noisy sampling . The asymptotics of errors z i − f ( i ) in the presence of bounded sampling noises 0 are proved to be the best possible . Filtering differentiators preserve the mentioned op - timality, whereas at the same time suppress potentially - unbounded noises having small local k th - order iterated integrals, k ≤ n f . The number n f is called the filtering order of the differentiator, whereas k is the filtering order of the noise signal . Homogeneous Differentiation The control approach to the n th - order differentiation of a noisy sampled function f 0 ( t ) t ) withsuggests constructing an observer for the distu...
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אדמוני, אריאל
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