# 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)]

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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)]