A filter has transfer function H(f) = rect(f/2B). %3D where, rect (x) = 0; elsewhere An input x(t) = 2 W sinc (2 Wt) is applied to this filter, where %3D sin n x sinc(x) = TT x %3D (i) Find the output y(t) for W < B. (ii) Find the output y(t) for W> B. (iii) In which case does the output suffer distortion? Justify your answer.

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A filter has transfer function H(f)
rect(f/2B).
%D
13B
rect(x):
1
x| <
where,
0; elsewhere
An input x(t) = 2 W sinc (2 Wt) is applied to this filter, where
%3D
sint x
sinc(x) =
TT x
Find the output y(t) for W < B.
(i)
(ii) Find the output y(t) for W > B.
(iii) In which case does the output suffer distortion? Justify your answer.
Transcribed Image Text:A filter has transfer function H(f) rect(f/2B). %D 13B rect(x): 1 x| < where, 0; elsewhere An input x(t) = 2 W sinc (2 Wt) is applied to this filter, where %3D sint x sinc(x) = TT x Find the output y(t) for W < B. (i) (ii) Find the output y(t) for W > B. (iii) In which case does the output suffer distortion? Justify your answer.
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