# Fourier Series – Exercise – 1

Exercise – 1

1. The Fourier transform of product of two time functions [f1(t)f2(t)] is given by :

(a) [f1(ω) + f2(ω)]
(b) [f1(ω) / f2(ω)]
(c) [f1(ω) * f2(ω)]
(d) [f1(ω) x f2(ω)]

Explanation
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2. The magnitude spectrum of a Fourier transform of a real-valued time signal has _______ symmetry.

(a) no
(b) odd
(c) even
(d) conjugate

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3. The trigonometric Fourier series of a periodic time function can have only ______ terms.

(a) sine
(b) cosine
(c) sine and cosine
(d) dc and cosine

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4. In Fourier series expansion, An will zero for _______ function and will be zero for _______ function.

(a) odd, odd
(b) odd, even
(c) even, odd
(d) even,even

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5. The inverse Fourier transform of product of two time functions [f1(ω)f2(ω)] is given by :

(a) [f1(t) + f2(t)]
(b) [f1(t) * f2(t)]
(c) [f1(t) / f2(t)]
(d) [f1(t) x f2(t)]

Explanation
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