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Solutions is assignment 2 for SYSC 3501
Typology: Assignments
Uploaded on 07/14/2020
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= 0.5 X 1 (f ) + 0.25 [ X 1 (f- 2 f (^) c ) + X 1 (f + 2 f (^) c )] + 0.25 j [ X 2 (f + 2 f (^) c ) - X 2 (f- 2 f (^) c )]] Applying the LPF to y 4 ( t ): Z(f) = 0.5 X 1 (f ) all the higher frequency components will be cut off z(t) = 0.5 x 1 (t)
Problem 4 [10 Marks]
transfer function is shown in the figure below. The output signal of the filter is y ( t ).
a) Find the Fourier transform of x ( t ) and sketch its magnitude spectrum, | X ( f ) |.
The magnitude spectrum is sketched by plotting weights of the delta functions.
b) What is the fundamental frequency f 0 of x ( t )?