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Laboratory work N7 Low-pass filtering. 1) Generate the signal with two periodic components and high-frequency noise. (Or use the real signal with different components.) 2) Perform it's filtering with Panteleev filter 0 - h(t) = e 22
0 |t| 2

0 t 0 |t| cos + sin 2 2

,

where 0 is a parameter. The frequency response of the Panteleev filter is ^ h( ) =
4 0 . 4 0 + 4

Select the cut-off frequency (by varying 0 ) for filtering out high-frequency periodic component and noise. 3) Plot the initial and filtered signal. Plot there spectrum and amplitude-frequency characteristic of the filter.