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1 answer:
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Answer:
(a) even function
(b) odd function
Step-by-step explanation:
From the given information;
Any function x(t) can be said to be the sum of even and odd functions.
i.e.
where;
x(t) is a real function.
For a real and even function, the Fourier transform is also real and even.
Also, the Fourier Transform of a real and odd function is imaginary and odd.
The behavior of X(f) largely depends on the behavior of x(t).
If x(t) is real and even, then x(f) is real and even valued function
Thus, the real part of X(f) is an even function.
If x(t) is real and odd, then x(f) is imaginary and odd valued function
Thus, the imaginary part of X(f) is an odd function.